HOME plateWON | World!OfNumbers Palindromic Productsof Two Pandigital Numbers Two ninedigitals

Introduction

A continuation of the topic started in WONplate 115

How many palindromes can you find
that are the products of two pandigital numbers ?

The Table

 # Multiplicandsorted by Multiplier Palindromic product Date 1 1023687954 2901673548 2970408257528040792 Oct 9 2001 2 1023746895 5421768309 5550518471748150555 Oct 29 2001 3 1024865397 6920754831 7092842147412482907 Nov 14 2003 4 1024956738 4218650793 4323934555554393234 Nov 15 2003 5 1025438796 5970823146 6122713697963172216 Nov 15 2003 6 1025643879 8049715632 8256141565651416528 Nov 16 2003 7 1025684937 8093526174 8301407883887041038 Nov 16 2003 8 1025743689 8039671452 8246642253522466428odd digits are in the middle ! Nov 16 2003 9 1025986374 8419705632 8638503251523058368 Nov 16 2003 10 1026895743 6410738592 6583160169610613856 Nov 16 2003 11 1027389564 6358041279 6532185257525812356 Nov 17 2003 12 1027856394 2019467583 2075722667662275702 Nov 17 2003 13 1028459376 8452617093 8693173301033713968 Nov 17 2003 14 1028459637 7603982451 7820389031309830287 Nov 17 2003 15 1028465397 1879254603 1932748331338472391 Nov 17 2003 16 1029534867 9083526417 9351807161617081539 Nov 18 2003 17 1029573684 6508472139 6700951637361590076 Nov 18 2003 18 1029635784 2849715063 2934168603068614392 Nov 18 2003 19 1029735846 6042798531 6222486257526842226odd digits are in the middle ! Nov 18 2003 20 1029748356 7801296543 8033372289822733308 Nov 19 2003 21 1032685497 6014372958 6210955727275590126 Nov 19 2003 22 1032847965 5801629743 5992201473741022995 Nov 19 2003 23 1032865947 8913645207 9206600597950066029 Nov 19 2003 24 1034562789 2760915438 2856340375730436582 Nov 20 2003 25 1034629785 4916082573 5086325455545236805 Nov 20 2003 26 1034829756 7952680413 8229670331330769228 Nov 20 2003 27 1034876592 6491852703 6718266401046628176 Nov 20 2003 28 1035276948 4720516983 4887042415142407884 Nov 20 2003 29 1035279864 8014356927 8297102349432017928 Nov 20 2003 30 1035682794 4281593076 4434372279722734344 Nov 21 2003 31 1035694827 1983547026 2054349393939434502 Nov 21 2003 32 1035974826 3956728104 4099070709070709904 Nov 21 2003 33 1037659482 2546087391 2641971723271791462 Nov 22 2003 34 1037824569 2473651908 2567216725276127652 Nov 22 2003 35 1037985426 2136540897 2217698313138967122 Nov 23 2003 36 1038274965 5271640893 5473412763672143745 Nov 23 2003 37 1038294756 7980541263 8286154143414516828 Nov 23 2003 38 1038452769 1726038459 1792409417149042971 Nov 23 2003 39 1038624975 5084132967 5280507475747050825 Nov 23 2003 40 1038674529 6182530974 6421637447447361246 Nov 23 2003 41 1039246785 5670843921 5893406313136043985 Nov 23 2003 42 1039267458 2091875364 2174017991997104712 Nov 23 2003 43 1039425867 2091487536 2173946245426493712 Nov 23 2003 44 1039658742 4310697582 4481654425244561844 Nov 24 2003 45 1039827564 4620758931 4804792503052974084 Nov 24 2003 46 1039876542 2698054371 2805643449443465082 Nov 24 2003 47 1042738695 5679302481 5922028457548202295 Nov 24 2003 48 1043692857 6291573408 6566470225220746656 Nov 25 2003 49 1045368792 2078954136 2173273773773723712 Nov 26 2003 50 1045879326 2685941307 2809170483840719082 Nov 26 2003 51 1045937682 2078534916 2174017991997104712 Nov 26 2003 52 1046327589 2610753948 2731703883883071372 Nov 26 2003 53 1046825793 2631579804 2754805615165084572 Nov 27 2003 54 1046952378 8520397641 8920450571750540298 Nov 27 2003 55 1047256938 4510298673 4723441577751443274 Nov 27 2003 56 1047358692 8267531904 8659071401041709568 Nov 27 2003 57 1047832695 4810632579 5040738099908370405 Nov 27 2003 58 1048637259 1327856409 1392439705079342931 Nov 28 2003 59 1048739562 4590786132 4814539037309354184 Nov 28 2003 60 1049562783 9152670843 9606302681862036069 Nov 29 2003 61 1049652783 2169805734 2277542627262457722 Nov 29 2003 62 1052347986 1928634057 2029594165614959202 Nov 29 2003 63 1052736489 8965230741 9438025533355208349 Nov 30 2003 64 1052748639 7981650432 8402671629261762048 Nov 30 2003 65 1052867439 4803617295 5057572239322757505 Nov 30 2003 66 1052869734 6483751029 6826545221225456286 Nov 30 2003 67 1053468972 4581263097 4826218525258126284 Nov 30 2003 68 1053724698 2571390864 2709538061608359072 Nov 30 2003 69 1053964872 6574290318 6929071053501709296 Dec 1 2003 70 1054283796 2194085367 2313188649468813132 Dec 1 2003 71 1054627983 5731490682 6044590457540954406 Dec 1 2003 72 1054728693 3468207591 3658018059508108563 Dec 1 2003 73 1054892367 7936025814 8371653055503561738 Dec 1 2003 74 1056483729 3649058127 3855170537350715583 Dec 2 2003 75 1056483972 8027651934 8481085601065801848 Dec 2 2003 76 1056734928 8029374516 8484920501050294848 Dec 2 2003 77 1056784329 2351670498 2485208529258025842 Dec 2 2003 78 1056937842 7609385124 8042647091907462408 Dec 2 2003 79 1057923468 2380569714 2518460567650648152 Dec 3 2003 80 1058264379 2840931657 3006456775776546003 Dec 3 2003 81 1058294763 3278905461 3470048477748400743 Dec 3 2003 82 1058367429 7816954032 8273209541459023728 Dec 3 2003 83 1058396742 7601935824 8045864109014685408 Dec 3 2003 84 1058472369 1452036879 1536940915190496351 Dec 3 2003 85 1058693427 7853216094 8314148259528414138 Dec 3 2003 86 1058937462 6479820153 6861724307034271686 Dec 3 2003 87 1058963427 1267890453 1342649619169462431 Dec 3 2003 88 1058973264 7814369052 8275207901097025728 Dec 3 2003 89 1059234867 7405932861 7844622309032264487 Dec 4 2003 90 1059372468 8309745216 8803115297925113088 Dec 4 2003 91 1059476382 3805614972 4031959181819591304 Dec 4 2003 92 1059672834 2796154038 2963008473748003692 Dec 4 2003 93 1059746283 4031759628 4272642279722462724 Dec 4 2003 94 1059764823 7456281039 7901904355534091097 Dec 4 2003 95 1062534897 2784015936 2958114085804118592 Dec 5 2003 96 1062745389 5963871024 6338076431346708336 Dec 5 2003 97 1062954378 5890362417 6261186519156811626 Dec 5 2003 98 1062954738 2038961574 2167323865683237612 Dec 5 2003 99 1063527984 4029385761 4285364515154635824 Dec 6 2003 100 1063572984 3972051486 4224566651566654224 Dec 6 2003 101 1063852479 1942075638 2066081981891806602 Dec 6 2003 102 1063892475 5396072481 5740840907090480475 Dec 6 2003 103 1064357289 7950814632 8462507507057052648 Dec 7 2003 104 1064532978 6493751082 6912812177712182196 Dec 7 2003 105 1064932857 3170542869 3376415275725146733 Dec 7 2003 106 1065249387 3768401592 4014287485847824104 Dec 7 2003 107 1065372984 6305172489 6717360429240637176 Dec 7 2003 108 1065379842 6075824913 6473061385831603746 Dec 7 2003 109 1065394278 7524301986 8016348281828436108 Dec 7 2003 110 1065723498 2510437869 2675432627262345762 Dec 7 2003 111 1065824397 3084167259 3287180709070817823 Dec 8 2003 112 1065938742 2308679451 2460910869680190642 Dec 8 2003 113 1067253498 2176905384 2323309885889033232 Dec 8 2003 114 1067458923 5819407362 6211978315138791126 Dec 8 2003 115 1067524938 7938015246 8474029233329204748 Dec 8 2003 116 1067598324 2360157948 2519700669660079152 Dec 8 2003 117 1067948352 4386201957 4684237151517324864 Dec 8 2003 118 1068273549 3014985627 3220829395939280223 Dec 8 2003 119 1068479253 4879130625 5213249845489423125 Dec 9 2003 120 1068534297 3467581209 3705229449449225073 Dec 9 2003 121 1068735429 2761539048 2951354619164531592 Dec 9 2003 122 1068749253 7215684309 7711757215127571177 Dec 9 2003 123 1069574238 4582697013 4901534665664351094 Dec 10 2003 124 1072346598 8215934706 8810329631369230188 Dec 10 2003 125 1072368459 4015378926 4305965711175695034 Dec 10 2003 126 1072849653 7952310486 8531633545453361358 Dec 11 2003 127 1073295648 4109376528 4410575943495750144 Dec 11 2003 128 1073528946 2453108697 2633483193913843362 Dec 11 2003 129 1073546892 2405987631 2582940543450492852 Dec 11 2003 130 1073624589 8524690371 9152317195917132519 Dec 11 2003 131 1073689245 5124860739 5502507857587052055 Dec 11 2003 132 1074963528 5681302947 6107193459543917016 Dec 12 2003 133 1075239468 2517836904 2707277613167727072 Dec 12 2003 134 1075269834 2501874693 2690190385830910962 Dec 12 2003 135 1075328469 3480296517 3742461925291642473 Dec 12 2003 136 1075423689 2893045617 3111249789879421113 Dec 12 2003 137 1075683294 7503961482 8071886005006881708 Dec 13 2003 138 1075864392 2376054981 2556312947492136552 Dec 13 2003 139 1076325849 7021586493 7557515043405157557 Dec 13 2003 140 1076395824 5724168309 6161470863680741616 Dec 13 2003 141 1076492358 2386751094 2569319313139139652 Dec 13 2003 142 1076495238 4608957213 4961520491940251694 Dec 13 2003 143 1076592384 2571639408 2768607401047068672 Dec 14 2003 144 1076835249 5927038164 6382443617163442836 Dec 14 2003 145 1076849235 5243078619 5646005199915006465 Dec 14 2003 146 1076892345 4657381209 5015498171718945105 Dec 14 2003 147 1076945823 4069213758 4382322759572232834 Dec 14 2003 148 1078432659 2531764908 2730337961697330372 Dec 14 2003 149 1078942635 4675281903 5044360975790634405 Dec 15 2003 150 1078965243 3760514928 4057464903094647504 Dec 15 2003 151 1079456823 4763982105 5142512987892152415 Dec 15 2003 152 1079568234 8246530197 8902692041402962098 Dec 15 2003 153 1079835462 4095317862 4422269455549622244 Dec 15 2003 154 1082546397 4809671325 5206692363632966025 Dec 16 2003 155 1082596437 8173965024 8849105411145019488 Dec 16 2003 156 1082647935 5216470839 5647601381831067465 Dec 16 2003 157 1082679543 7420819356 8034369309039634308 Dec 16 2003 158 1082763459 7439586012 8055311883881135508 Dec 16 2003 159 1083572649 1840276359 1994073129213704991 Dec 17 2003 160 1085234976 5697023841 6182609531359062816 Dec 18 2003 161 1085237649 3502981467 3801567371737651083 Dec 18 2003 162 1085423796 7605493218 8255183319133815528 Dec 18 2003 163 1085643927 4158736902 4514907461647094154 Dec 18 2003 164 1085672439 6819425073 7403661851581663047 Dec 18 2003 165 1085743692 4108923657 4461237941497321644 Dec 18 2003 166 1085926734 2456807193 2667912611162197662 Dec 19 2003 167 1085947263 5746819302 6240742691962470426 Dec 19 2003 168 1086473259 7908345162 8592205541455022958 Dec 19 2003 169 1086527934 2591684073 2815937141417395182 Dec 19 2003 170 1086592734 2418756093 2628202795972028262 Dec 19 2003 171 1087243596 4085167239 4441571919191751444odd digits in the middle ! Dec 20 2003 172 1087645932 2548906371 2772307645467032772 Dec 22 2003 173 1089234567 3164875029 3447291281821927443 Dec 22 2003 174 1089457362 2708539416 2950838207028380592 Dec 22 2003 175 1092683745 4823179605 5270209953599020725 Dec 23 2003 176 1093865274 2715463908 2970351671761530792 Dec 25 2003 177 1094583762 2104759836 2303835939395383032 Dec 25 2003 178 1094632758 6048395127 6620771439341770266 Dec 25 2003 179 1094658372 1932807546 2115763961693675112 Dec 25 2003 180 1094736528 8095236471 8862151067601512688 Dec 25 2003 181 1095378246 7952018643 8710468233328640178 Dec 26 2003 182 1095387462 3695187042 4047661555551667404 Dec 26 2003 183 1095467283 2960347581 3242963921293692423 Dec 26 2003 184 1096254837 1985024376 2176092573752906712 Dec 26 2003 185 1096283475 4761028935 5219437345437349125 Dec 26 2003 186 1096352748 2679351804 2937514713174157392 Dec 26 2003 187 1096437528 7491850326 8214345851585434128 Dec 26 2003 188 1097386425 5241830679 5752313829283132575 Dec 27 2003 189 1097582364 2305971468 2530993615163990352 Dec 27 2003 190 1097835642 4386107952 4815225639365225184 Dec 28 2003 191 1098375642 6134095728 6737541333331457376 Dec 29 2003 192 1098432765 4705623891 5168811461641188615 Dec 29 2003 193 1098476532 6102475893 6703426555556243076 Dec 29 2003 194 1098542376 7859106243 8633561245421653368 Dec 29 2003 195 1098624573 7283514096 8001847563657481008 Jan 2009 196 1098753462 3650471892 4010968629268690104 Jan 2009 197 1098754362 2396784501 2633477425247743362 Jan 2009 198 1203468975 4390861527 5284265621265624825 Nov 20 2005 199 1203769548 7042389651 8477414207024147748 Nov 20 2005 200 1203784596 5237098641 6304338671768334036 Nov 20 2005 201 1203784965 4926158703 5930035781875300395 Nov 20 2005 202 1204359768 6835407921 8232290297920922328 Nov 20 2005 203 1204569873 1259036487 1516597421247956151 Nov 20 2005 204 1204863597 7089526314 8541912175712191458 Nov 21 2005 205 1205349768 6850794321 8257603345433067528 Nov 21 2005 206 1205379846 6951428703 8379112059502119738 Nov 21 2005 207 1205487369 4085917326 4925521727271255294 Nov 27 2005 208 1205643897 5347620918 6447326523256237446 Nov 27 2005 209 1205897643 2013578694 2428169801089618242 Nov 27 2005 210 1206759483 3049752861 3680318185818130863 Nov 27 2005 211 1206978453 7482069153 9030696251526960309 Nov 28 2005 212 1207456893 4210697385 5084235581855324805 Nov 28 2005 213 1207463895 4316928075 5212534787874352125 Nov 28 2005 214 1207543896 5624089731 6791335225225331976 Dec 4 2005 215 1207683594 5102837964 6162613691963162616 Dec 4 2005 216 1207856439 5326907814 6434139903099314346 Dec 5 2005 217 1208364759 2584936107 3123545695965453213 Dec 5 2005 218 1208365794 5143280679 6214964441444694126 Dec 5 2005 219 1208546973 7384591026 8924625131315264298 Dec 5 2005 220 1208574963 7182059436 8680057217127500868 Dec 5 2005 221 1208576943 3264709851 3945653051503565493 Dec 5 2005 222 1208793564 3841059726 4643048275728403464 Dec 5 2005 223 1208946573 2867034591 3466091643461906643 Dec 6 2005 224 1208954763 2945678031 3561191485841911653 Dec 6 2005 225 1208975643 2170596834 2624198703078914262 Dec 6 2005 226 1209364587 6594702831 7975400065600045797 Dec 6 2005 227 1209387654 5012437689 6061980257520891606 Dec 6 2005 228 1209476853 5193678042 6281633373733361826 Dec 6 2005 229 1209478653 7591804623 9182125629265212819 Dec 6 2005 230 1209543786 5698347201 6892400447440042986 Dec 6 2005 231 1209685437 8045291367 9732271803081722379 Dec 6 2005 232 1209754836 6987502143 8453164509054613548 Dec 6 2005 233 1209837465 4283076591 5181826525256281815 Dec 6 2005 234 1209837465 4897521063 5925204467644025295 Dec 6 2005 235 1230459867 5016297348 6172352567652532716 Dec 6 2005 236 1230479856 3590718624 4418306935396038144 Dec 6 2005 237 1230549687 7032915864 8654352415142534568 Dec 6 2005 238 1230679584 3742801596 4606189511159816064 Dec 7 2005 239 1230694857 2504816379 3082664635364662803 Dec 7 2005 240 1230697548 5034821967 6196343049403436916 Dec 7 2005 241 1230749568 5348902167 6583159031309513856 Dec 7 2005 242 1230764598 6590283741 8111087919197801118 Dec 7 2005 243 1234759086 6892740153 8510873531353780158 Dec 7 2005 244 1234905867 3025684719 3736435811185346373 Dec 8 2005 245 1235794806 5024986371 6209852057502589026 Dec 8 2005 246 1239875604 6798430512 8429208137318029248 Dec 11 2005 247 1243059867 5678043921 7058148521258418507 Dec 12 2005 248 1243597806 4826935701 6002766647466672006 Dec 12 2005 249 1243659078 1823507649 2267821841481287622 Dec 12 2005 250 1243850967 3756081492 4672005595955002764 Jan 13 2006 251 1245063789 1749325608 2178021969691208712 Jan 13 2006 252 1245860739 6819504732 8496153205023516948 Jan 13 2006 253 1245896037 2584310679 3219782433342879123 Jan 13 2006 254 1246307598 4850261397 6044917631367194406 Jan 14 2006 255 1246958037 2174890356 2711997009007991172 Jan 14 2006 256 1248509637 6249073851 7802028925298202087 Jan 15 2006 257 1249073568 7049283516 8805073713173705088 Jan 16 2006 258 1249078365 4637820915 5793001765671003975 Jan 16 2006 259 1249750863 5786430129 7231596047406951327 Jan 16 2006 260 1250684739 1736594208 2171931873781391712 Jan 17 2006 261 1250864937 2765481039 3459243265623429543 Jan 17 2006 262 1250986743 2796835401 3498804009004088943 Jan 17 2006 263 1253479068 4892605137 6132778127218772316 Jan 17 2006 264 1253864709 3247891056 4072415973795142704 Jan 17 2006 265 1253940687 4231679805 5306275481845726035 Jan 18 2006 266 1256709834 3457286901 4344806447446084434 Jan 19 2006 267 1256739048 2185640739 2746780061600876472 Jan 19 2006 268 1256970438 6790852341 8535900641460095358 Jan 19 2006 269 1257308469 6284579013 7901654417144561097 Jan 19 2006 270 1257498063 3469072518 4362351971791532634 Jan 19 2006 271 1258047963 1326905847 1669311197911139661 Jan 20 2006 272 1258073649 6075219483 7643073543453703467 Jan 20 2006 273 1258430679 5869471203 7386322631362236837 Jan 20 2006 274 1258630497 4179380625 5260295913195920625 Jan 20 2006 275 1258704936 3251407689 4092562907092652904 Jan 20 2006 276 1258734069 1374026859 1729534419144359271 Jan 20 2006 277 1259407836 4892017356 6161044991994401616 Jan 21 2006 278 1259706348 6728349051 8475744011104475748 Jan 21 2006 279 1259738604 3720549816 4686920231320296864 Jan 21 2006 280 1259837046 5371824906 6767624021204267676 Jan 21 2006 281 1260345978 5340176892 6730470467640740376 Jan 21 2006 282 1260943578 1726895304 2177517543457157712 Jan 22 2006 283 1260953487 3982064715 5021198387838911205 Jan 22 2006 284 1263087459 5970846123 7541700857580071457 Jan 22 2006 285 1263540789 2568439107 3245327575757235423 Jan 22 2006 286 1263759408 2036784519 2574005597955004752 Jan 22 2006 287 1263948507 2835610479 3584065631365604853 Jan 22 2006 288 1264085379 2061943578 2606472729272746062 Jan 22 2006 289 1264507893 1369502847 1731747159517471371 Jan 23 2006 290 1265349807 3451079862 4366823237323286634 Jan 23 2006 291 1265483709 4086279135 5171119675769111715 Jan 23 2006 292 1267358094 3529180476 4472735441445372744 Jan 24 2006 293 1267504893 7416825093 9400862095902680049 Jan 24 2006 294 1267803495 4197602853 5321735567655371235 Jan 24 2006 295 1267803945 4167209385 5283204497944023825 Jan 24 2006 296 1267935804 5172463089 6558351145411538556 Jan 24 2006 297 1268350497 2610354789 3310844793974480133 Jan 24 2006 298 1268754309 2135679408 2709652451542569072 Jan 25 2006 299 1269057834 4786251309 6074029719179204706 Jan 25 2006 300 1269430578 2186093574 2775094029204905772 Jan 25 2006 301 1270389645 4259368701 5411057891987501145 Jan 26 2006 302 1270456839 7468203591 9488030327230308849 Jan 26 2006 303 1270564839 4190872365 5324775071705774235 Jan 26 2006 304 1270839465 4297108653 5460935261625390645 Jan 26 2006 305 1273049586 3187902564 4058358039308538504 Jan 26 2006 306 1274906385 4062371859 5179143821283419715 Jan 28 2006 307 1275908436 6459082173 8241197433347911428 Jan 28 2006 308 1276345098 6543290781 8351497113117941538 Jan 28 2006 309 1276580934 6743915802 8609154333334519068 Jan 29 2006 310 1276805439 5761420983 7356213647463126537 Jan 29 2006 311 1276945308 5462019837 6974700603060074796 Jan 29 2006 312 1278043695 4672309581 5971415801085141795 Jan 29 2006 313 1278436059 2174953608 2780539119119350872 Jan 29 2006 314 1278503694 6587043192 8421559053509551248 Jan 29 2006 315 1279358064 3287509641 4205901969691095024 Jan 30 2006 316 1279463058 2018756394 2582924229224292852 Jan 30 2006 317 1280493765 4350218967 5570428263628240755 Jan 31 2006 318 1280639745 4162970583 5331265585855621335 Jan 31 2006 319 1280645379 2173054968 5570428263628240755 Jan 31 2006 320 1280659734 2179034658 2790601945491060972 Jan 31 2006 321 1280794356 1653478902 2117766445446677112 Jan 31 2006 322 1280795364 2170654398 2780164089804610872 Jan 31 2006 323 1280934756 3286197504 4209404597954049024 Jan 31 2006 324 1283457609 3194078256 4099464041404649904 Jan 31 2006 325 1284705369 5694012873 7315128909098215137 Feb 1 2006 326 1284756309 5017832694 6446692211122966446 Feb 1 2006 327 1285376409 4016298735 5162455645465542615 Feb 1 2006 328 1285403697 3902178465 5015874625264785105 Feb 1 2006 329 1285740936 4807321956 6180970631360790816 Feb 2 2006 330 1285930647 2149083576 2763572433342753672 Feb 2 2006 331 1285940763 1983672504 2550885333335880552 Feb 2 2006 332 1286305794 5371209684 6909018137318109096 Feb 2 2006 333 1286357094 1709253648 2198710555550178912 Feb 2 2006 334 1286397405 3945702861 5075741921291475705 Feb 2 2006 335 1286957304 2019745638 2599326401046239952 Feb 3 2006 336 1287506439 4091826375 5268252805082528625 Feb 3 2006 337 1289307456 4960725831 6395900801080095936 Feb 3 2006 338 1289360574 3509746821 4525329175719235254 Feb 3 2006 339 1293587406 6581207493 8513367129217633158 Feb 5 2006 340 1293675804 2105734968 2724138377738314272 Feb 5 2006 341 1294370568 5086413792 6583704309034073856 Feb 5 2006 342 1294683075 4076291583 5277505721275057725 Feb 5 2006 343 1294708536 5083129746 6581171471741711856 Feb 6 2006 344 1295608734 5310786429 6880701281821070886 Feb 6 2006 345 1296708354 3584029716 4647441273721447464 Feb 7 2006 346 1297358406 4708125936 6108126759576218016 Feb 7 2006 347 1297653804 5186320794 6730048907098400376 Feb 7 2006 348 1298374056 1648073952 2139816461646189312 Feb 8 2006 349 1298435706 6589710243 8556315071705136558 Feb 8 2006 350 1298453706 1805934672 2344922567652294432 Feb 8 2006 351 1298603745 4270368159 5545516083806155455 Feb 8 2006 352 1298740653 7596082413 9865341033301435689 Feb 8 2006 # To avoid pagesize overhead this list iscontinued without HTML formattingSee text file propan3.txt

Contributions

[ October 7, 2008 ]
Peter Kogel (email) presents some nice results.

The following three examples are particularly noteworthy :
Each palindrome is pandigital as well !

[7105364289]824635017 = 1708463529 x 4158920673 (815)

[8251306479]746031528 = 1367208459 x 6035148792 (446)

[8754126039]306214578 = 2384507961 x 3671250498 (1155)

There are also similar examples where the pandigital palindrome is the product
of a ninedigital number and a pandigital number (3 examples) eg.:

[5132704689]864072315 = 631792485 x 8124035679

[6108425739]375248016 = 658731294 x 9273015864

[6548703219]123078456 = 862453719 x 7593106824
```

```

Observations by PDG

Two pandigitals in the list can be multiplied
with two other pandigitals to arrive at a palindrome.

 1728603594 * ↗↘ 1367049528 = 2363086727276803632 palindrome (444)       x4790813562 = 8281417541457141828 palindrome (828)

 2170654398 * ↗↘ 1280795364 = 2780164089804610872 palindrome (322)       x3908145276 = 8483232731372323848 palindrome (1117)

Three palindromes can be expressed as products of
two pandigitals in two different but math-related ways.

 2174017991997104712 = ↗↘ 1039267458 * 2091875364 N1 * N2 (42)        x                x1045937682 * 2078534916 N2/2 * N1*2 (51)

 6495526015106255946 = ↗↘ 1308652947 * 4963520718 N1 * N2 (378)        x                x2481760359 * 2617305894 N2/2 * N1*2 (1187)

 8272731805081372728 = ↗↘ 2015793846 * 4103957268 N1 * N2 (1007)        x                x2051978634 * 4031587692 N2/2 * N1*2 (1041)

Two palindromes are connected through a reversal
transformation of one of its pandigital factors
(Resp. index numbers 87 and 1226). This is a unique case !

 1342649619169462431= 1058963427*1267890453 ⇊[ REVERSE DIGITS ! ]⇊ 3540987621*2603581749= 9219250743470529129

There are six cases whereby the sum of the pandigital factors is pandigital as well !

 3220829395939280223 = ↗↘ 1068273549 * 3014985627 (118)1068273549 + 3014985627 = 4083259176

 2115763961693675112 = ↗↘ 1094658372 * 1932807546 (179)1094658372 + 1932807546 = 3027465918

 2893714315134173982 = ↗↘ 1672034859 * 1730654298 (789)1672034859 + 1730654298 = 3402689157

 7247133287823317427 = ↗↘ 1892463507 * 3829470561 (940)1892463507 + 3829470561 = 5721934068

 9758213125213128579 = ↗↘ 2064378159 * 4726950381 (1048)2064378159 + 4726950381 = 6791328540

 5595037421247305955 = ↗↘ 2150698473 * 2601497835 (1103)2150698473 + 2601497835 = 4752196308

There are two cases whereby the difference of the pandigital factors is pandigital as well !

 4031959181819591304 = ↗↘ 3805614972 * 1059476382 (91)3805614972 — 1059476382 = 2746138590

 5438225545455228345 = ↗↘ 2907438165 * 1870452693 (934)2907438165 — 1870452693 = 1036985472

This is a really beautiful gem !
Only the third and fourth digit of the pandigital factors need be swapped to arrive at the palindrome.

 4270936083806390724 = ↗↘ 2057643918 (1044)    2075643918

The palindrome is a concatenation of five 3-digit numbers separated by zeroes :
 4270936083806390724 A | B | C | D | E

A + B + D = 2002

D - A = 212 = B - E

E - A = 297 = B - D

A lot of small palindromes pop up when the pandigitals are grouped into five sets of two digits.
 20 | 57 | 64 | 39 | 18 A | BN | C | D | E 20 | 75 | 64 | 39 | 18 A | BR | C | D | E

Here they are sorted from smaller to larger :
A + BN = 77
A + D + E = 77

BN + C = 121
C + D + E = 121

A + BN + C = 141
A + C + D + E = 141

2A + (BN + BR) + 2C + 2D + 2E = 414

Some equalities can be detected :
BN = 57 = D + E

Playing around further (this may become politically incorrect...)

The largest factor of the palindrome is 115313551 which is a near-palindromic !
Break this down into three sets of 3-digit numbers
115 | 313 | 551
The middle part is palindromic prime 313 which when added
to the next palprime 353 gives 666, the numbers of the Beast !
Note that the sum of the left and right parts of the factor equals 666 as well !
115 + 551 = 666

The second pandigital gives another surprise when stripped of its last digit '8'.
207564391_[8]
Factorization of this number gives us three primes
131 x 139 x 11399
Note the use of only three distinct digits 1, 3 and 9 as indicated
by the last three digits of the 'crippled' pandigital 207564391.

The second pandigital when stripped of its 'zero' digit is also in for a surprise !
2_[0]_75643918
Divide this ninedigital now into three sets of 3-digit numbers :
275 | 643 | 918
and you will immediately notice that
275 + 643 = 918

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