(12:59) gp > for(n=1,24,print(n);d=divisors(10^n-1);for(i=1,length(d)-1,if((d[i]%10==9)&(d[i]>9),print((d[i]+1)/10,"*",(10^n-1)/d[i],"=",(d[i]+1)/10*(10^n-1)/d[i]))))
1
2
3
4
10*101=1010
91*11=1001
5
37*271=10027
244*41=10004
6
4*25641=102564
10*10101=101010
19*5291=100529
26*3861=100386
43*2331=100233
82*1221=100122
100*1001=100100
208*481=100048
285*351=100035
433*231=100023
901*111=100011
1099*91=100009
4762*21=100002
9091*11=100001
7
24*41841=1004184
465*2151=1000215
8
10*1010101=10101010
22*456621=10045662
91*110011=10011001
241*41511=10004151
1000*10001=10001000
2212*4521=10000452
9001*1111=10000111
24331*411=10000041
99010*101=10000010
909091*11=10000001
9
100*1001001=100100100
900901*111=100000011
1234568*81=100000008
10
10*101010101=1010101010
37*27100271=1002710027
244*4100041=1000410004
406*2463661=1000246366
2683*372731=1000037273
8182*122221=1000012222
10000*100001=1000010000
90001*11111=1000001111
109999*9091=1000000909
335458*2981=1000000298
2217295*451=1000000045
3690037*271=1000000027
24390244*41=1000000004
90909091*11=1000000001
11
2165*4619151=10000461915
51324*194841=10000019484
12
4*25641025641=102564102564
10*10101010101=101010101010
19*5291005291=100529100529
26*3861003861=100386100386
43*2331002331=100233100233
82*1221001221=100122100122
91*1100110011=100110011001
100*1001001001=100100100100
208*481000481=100048100048
285*351000351=100035100035
394*253871541=100025387154
433*231000231=100023100023
901*111000111=100011100011
1000*100010001=100010001000
1099*91000091=100009100009
1909*52386191=100005238619
2616*38227761=100003822776
4333*23079231=100002307923
4762*21000021=100002100002
8272*12089121=100001208912
8911*11222211=100001122221
9091*11000011=100001100001
10090*9910901=100000991090
20998*4762381=100000476238
28775*3475251=100000347525
38614*2589741=100000258974
43723*2287131=100000228713
90991*1099011=100000109901
98020*1020201=100000102020
100000*1000001=100000100000
110989*900991=100000090099
187129*534391=100000053439
256436*389961=100000038996
424753*235431=100000023543
480952*207921=100000020792
810892*123321=100000012332
900001*111111=100000011111
918181*108911=100000010891
989110*101101=100000010110
2058418*48581=100000004858
2820795*35451=100000003545
3900004*25641=100000002564
4286143*23331=100000002333
8919811*11211=100000001121
9900010*10101=100000001010
10099990*9901=100000000990
10880209*9191=100000000919
18900019*5291=100000000529
25900026*3861=100000000386
42900043*2331=100000000233
47147572*2121=100000000212
81900082*1221=100000000122
90009001*1111=100000000111
99900100*1001=100000000100
207900208*481=100000000048
284900285*351=100000000035
432900433*231=100000000023
900900901*111=100000000011
990099010*101=100000000010
1098901099*91=100000000009
4761904762*21=100000000002
9090909091*11=100000000001
13
8*126582278481=1012658227848
16*62893081761=1006289308176
79611496*12561=1000000001256
1406469761*711=1000000000071
14
10*1010101010101=10101010101010
24*418410041841=10041841004184
263*38037276531=10003803727653
465*21510002151=10002151000215
5114*1955454741=10000195545474
818182*12222221=10000001222222
1000000*10000001=10000001000000
9000001*1111111=10000000111111
10999999*909091=10000000090909
21727275*460251=10000000046025
239000024*41841=10000000004184
422636406*23661=10000000002366
4649000465*2151=10000000000215
909090909091*11=10000000000001
15
28*3584229390681=100358422939068
37*2710027100271=100271002710027
100*1001001001001=100100100100100
244*410004100041=100041000410004
1144*87420229041=100008742022904
3097*32290354871=100003229035487
4096*24414658561=100002441465856
7561*13225938711=100001322593871
10000*10000100001=100001000010000
27073*3693730631=100000369373063
126973*787569631=100000078756963
309997*322583871=100000032258387
839260*119152601=100000011915260
1109989*90090991=100000009009099
2615545*38232951=100000003823295
34409656*2906161=100000000290616
81081892*1233321=100000000123332
107237341*932511=100000000093251
290325484*344441=100000000034444
708812668*141081=100000000014108
3324357568*30081=100000000003008
9000090001*11111=100000000001111
11903344840*8401=100000000000840
21973192705*4551=100000000000455
29061319384*3441=100000000000344
78678206137*1271=100000000000127
369003690037*271=100000000000027
900900900901*111=100000000000011
2439024390244*41=100000000000004
3225806451613*31=100000000000003
16
10*101010101010101=1010101010101010
22*45662100456621=1004566210045662
91*11001100110011=1001100110011001
233*4293688278231=1000429368827823
241*4151100041511=1000415110004151
1000*1000100010001=1000100010001000
1117*895335303071=1000089533530307
2212*452100004521=1000045210000452
2562*390335298021=1000039033529802
9001*111100001111=1000011110000111
12286*81394118461=1000008139411846
23523*42511765131=1000004251176513
24331*41100000411=1000004110000041
99010*10100000101=1000001010000010
112807*8864705971=1000000886470597
258752*3864705921=1000000386470592
909091*1100000011=1000000110000001
1240876*805882361=1000000080588236
1764706*566666661=1000000056666666
10000000*100000001=1000000010000000
19411765*51515151=1000000005151515
42941177*23287671=1000000002328767
90000001*11111111=1000000001111111
178235296*5610561=1000000000561056
472352946*2117061=1000000000211706
725294125*1378751=1000000000137875
990000010*1010101=1000000000101010
1960588255*510051=1000000000051005
2190000022*456621=1000000000045662
4337058867*230571=1000000000023057
7978235374*125341=1000000000012534
9090000091*110011=1000000000011001
17648823706*56661=1000000000005666
24090000241*41511=1000000000004151
47707647536*20961=1000000000002096
73254706615*13651=1000000000001365
99990001000*10001=1000000000001000
194137060765*5151=1000000000000515
221190002212*4521=1000000000000452
805801772764*1241=1000000000000124
900090009001*1111=1000000000000111
1782531194296*561=1000000000000056
2433090024331*411=1000000000000041
9900990099010*101=1000000000000010
19607843137255*51=1000000000000005
90909090909091*11=1000000000000001
17
621517*16089667071=10000001608966707
18
2*52631578947368421=105263157894736842
4*25641025641025641=102564102564102564
10*10101010101010101=101010101010101010
19*5291005291005291=100529100529100529
21*4784688995215311=100478468899521531
26*3861003861003861=100386100386100386
40*2506265664160401=100250626566416040
43*2331002331002331=100233100233100233
82*1221001221001221=100122100122100122
100*1001001001001001=100100100100100100
154*649772579597141=100064977257959714
173*578368999421631=100057836899942163
208*481000481000481=100048100048100048
211*474158368895211=100047415836889521
285*351000351000351=100035100035100035
433*231000231000231=100023100023100023
439*227842333105491=100022784233310549
667*149947518368571=100014994751836857
901*111000111000111=100011100011100011
914*109421162052741=100010942116205274
1099*91000091000091=100009100009100009
1693*59070234508831=100005907023450883
1902*52578999947421=100005257899994742
2098*47666714333381=100004766671433338
2320*43105306263201=100004310530626320
4429*22578969947391=100002257896994739
4762*21000021000021=100002100002100002
5258*19018999980981=100001901899998098
7336*13631592578961=100001363159257896
9091*11000011000011=100001100001100001
10053*9947378368431=100000994737836843
14005*7140358017551=100000714035801755
19192*5210531526321=100000521053152632
23077*4333337666671=100000433333766667
48718*2052633631581=100000205263363158
57837*1728999998271=100000172899999827
74026*1350878543861=100000135087854386
100000*1000001000001=100000100000100000
110416*905666665761=100000090566666576
154054*649123456141=100000064912345614
211111*473684684211=100000047368468421
233567*428142857571=100000042814285757
425890*234802468901=100000023480246890
478469*208999999791=100000020899999979
583627*171342342171=100000017134234217
814285*122807140351=100000012280714035
899101*111222222111=100000011122222211
900901*111000000111=100000011100000011
1214575*82333333251=100000008233333325
1234568*81000000081=100000008100000008
1845523*54185185131=100000005418518513
1901902*52578947421=100000005257894742
2529050*39540540501=100000003954054050
2569236*38922077961=100000003892207796
3896104*25666666641=100000002566666664
3903904*25615384641=100000002561538464
4684789*21345678991=100000002134567899
5263158*18999999981=100000001899999998
6419896*15576576561=100000001557657656
8241575*12133603251=100000001213360325
9890110*10111111101=100000001011111110
9909910*10090909101=100000001009090910
12256165*8159159151=100000000815915915
13580247*7363636371=100000000736363637
18881119*5296296291=100000000529629629
18918919*5285714291=100000000528571429
20300752*4925925921=100000000492592592
20920921*4779904311=100000000477990431
25874126*3864864861=100000000386486486
25925926*3857142861=100000000385714286
27819549*3594594591=100000000359459459
38755981*2580246911=100000000258024691
39939940*2503759401=100000000250375940
42857143*2333333331=100000000233333333
42942943*2328671331=100000000232867133
53110048*1882882881=100000000188288288
81818182*1222222221=100000000122222222
81981982*1219780221=100000000121978022
90657324*1103054841=100000000110305484
99800200*1002002001=100000000100200200
100000000*1000000001=100000000100000000
112345679*890109891=100000000089010989
134817814*741741741=100000000074174174
173073073*577790631=100000000057779063
204853042*488154821=100000000048815482
207692308*481481481=100000000048148148
208108108*480519481=100000000048051948
211111111*473684211=100000000047368421
284615385*351351351=100000000035135135
285185185*350649351=100000000035064935
426315790*234567901=100000000023456790
432467533*231231231=100000000023123123
433333333*230769231=100000000023076923
439339339*227614491=100000000022761449
584210527*171171171=100000000017117117
667567567*149797571=100000000014979757
900000001*111111111=100000000011111111
901801801*110889111=100000000011088911
914814814*109311741=100000000010931174
1097802199*91091091=100000000009109109
1099999999*90909091=100000000009090909
1235802468*80919081=100000000008091908
1903803802*52526421=100000000005252642
2095804198*47714381=100000000004771438
2253383461*44377711=100000000004437771
2322222220*43062201=100000000004306220
4433333329*22556391=100000000002255639
4757142862*21021021=100000000002102102
4766666662*20979021=100000000002097902
5263163158*18999981=100000000001899998
7343243236*13617961=100000000001361796
9081818191*11011011=100000000001101101
9099999991*10989011=100000000001098901
10062962953*9937431=100000000000993743
19211111092*5205321=100000000000520532
22807040351*4384611=100000000000438461
23053846177*4337671=100000000000433767
48766666618*2050581=100000000000205058
57894794737*1727271=100000000000172727
99900000100*1001001=100000000000100100
100099999900*999001=100000000000099900
110526426316*904761=100000000000090476
211322222011*473211=100000000000047321
233333566667*428571=100000000000042857
250877443860*398601=100000000000039860
478947847369*208791=100000000000020879
584211110527*171171=100000000000017117
900000900001*111111=100000000000011111
1215790689475*82251=100000000000008225
1233334566668*81081=100000000000008108
1847370268423*54131=100000000000005413
2531581478950*39501=100000000000003950
2566669233336*38961=100000000000003896
3900003900004*25641=100000000000002564
5268426321058*18981=100000000000001898
6426322215796*15561=100000000000001556
9900009900010*10101=100000000000001010
12268433321065*8151=100000000000000815
13566680233347*7371=100000000000000737
18900018900019*5291=100000000000000529
20321072952652*4921=100000000000000492
25900025900026*3861=100000000000000386
27847396268449*3591=100000000000000359
42900042900043*2331=100000000000000233
53163211057948*1881=100000000000000188
81900081900082*1221=100000000000000122
99900099900100*1001=100000000000000100
112233445566779*891=100000000000000089
134952766531714*741=100000000000000074
207900207900208*481=100000000000000048
284900284900285*351=100000000000000035
432900432900433*231=100000000000000023
584795321637427*171=100000000000000017
900900900900901*111=100000000000000011
1098901098901099*91=100000000000000009
1234567901234568*81=100000000000000008
4761904761904762*21=100000000000000002
9090909090909091*11=100000000000000001
19
20
10*1010101010101010101=10101010101010101010
37*271002710027100271=10027100271002710027
91*110011001100110011=10011001100110011001
244*41000410004100041=10004100041000410004
406*24636610002463661=10002463661000246366
1000*10001000100010001=10001000100010001000
2683*3727310000372731=10000372731000037273
3187*3137845555241771=10000313784555524177
3727*2683195148783171=10000268319514878317
8182*1222210000122221=10000122221000012222
10000*1000010000100001=10000100001000010000
24634*405944653505941=10000040594465350594
25165*397378888849151=10000039737888884915
35056*285258686840161=10000028525868684016
40996*243926831707561=10000024392683170756
90001*111110000011111=10000011111000001111
109999*90910000009091=10000009091000000909
130663*76532818420531=10000007653281842053
270973*36904059409631=10000003690405940963
276814*36125353531741=10000003612535353174
321877*31067777774671=10000003106777777467
335458*29810000002981=10000002981000000298
826372*12101089110121=10000001210108911012
863650*11578765886501=10000001157876588650
1009990*9901089109901=10000000990108910990
1031761*9692168020711=10000000969216802071
1437292*6957528947321=10000000695752894732
2217295*4510000000451=10000000451000000045
2541655*3934444444051=10000000393444444405
3540646*2824343434061=10000000282434343406
3690037*2710000000271=10000000271000000027
6819688*1466342763281=10000000146634276328
9090091*1100099010011=10000000110009901001
9500149*1052615080591=10000000105261508059
11109889*900099009991=10000000090009900999
11349370*881106183701=10000000088110618370
13196953*757750677431=10000000075775067743
24390244*410000000041=10000000041000000004
27958204*357676767641=10000000035767676764
28972108*345159559481=10000000034515955948
33881248*295148514881=10000000029514851488
35409646*282408924061=10000000028240892406
75016567*133303887571=10000000013330388757
87228640*114641246401=10000000011464124640
89108911*112222222211=10000000011222222221
90909091*110000000011=10000000011000000001
104207851*95962059611=10000000009596205961
145166482*68886425221=10000000006888642522
223946785*44653465351=10000000004465346535
228774106*43711240661=10000000004371124066
279607204*35764457641=10000000003576445764
318693187*31378141771=10000000003137814177
372693727*26831683171=10000000002683168317
389506105*25673538551=10000000002567353855
688788478*14518245181=10000000001451824518
959515039*10421931491=10000000001042193149
980198020*10202020201=10000000001020202020
1000000000*10000000001=10000000001000000000
1146286360*8723823601=10000000000872382360
1187856424*8418525841=10000000000841852584
2463414634*4059405941=10000000000405940594
2516515165*3973749151=10000000000397374915
2926182898*3417421381=10000000000341742138
3075679243*3251314331=10000000000325131433
3576374236*2796127961=10000000000279612796
3653465347*2737127371=10000000000273712737
7576673257*1319840471=10000000000131984047
7851441241*1273651511=10000000000127365151
9000000001*1111111111=10000000000111111111
9181818181*1089108911=10000000000108910891
9379738342*1066127821=10000000000106612782
13066420663*765320531=10000000000076532053
23106184696*432784561=10000000000043278456
24148514854*414104141=10000000000041410414
28240327594*354103541=10000000000035410354
32188011877*310674671=10000000000031067467
39340116595*254193451=10000000000025419345
40188118816*248829761=10000000000024882976
61997782699*161296091=10000000000016129609
86365853650*115786501=10000000000011578650
99000000010*101010101=10000000000010101010
100999999990*99009901=10000000000009900990
103177121761*96920711=10000000000009692071
119973498814*83351741=10000000000008335174
254168031655*39344051=10000000000003934405
265633663393*37645831=10000000000003764583
310643603533*32191231=10000000000003219123
321909090877*31064671=10000000000003106467
369000000037*27100271=10000000000002710027
681975609688*14663281=10000000000001466328
792995565331*12610411=10000000000001261041
810089108992*12344321=10000000000001234432
947353572532*10555721=10000000000001055572
990089109010*10100101=10000000000001010010
1319708486953*7577431=10000000000000757743
2439000000244*4100041=10000000000000410004
2541909090655*3934051=10000000000000393405
3540999999646*2824061=10000000000000282406
4059000000406*2463661=10000000000000246366
6261776052589*1596991=10000000000000159699
8722951218640*1146401=10000000000000114640
8910980198911*1122211=10000000000000112221
10420889297851*959611=10000000000000095961
10890980199109*918191=10000000000000091819
26829000002683*372731=10000000000000037273
27960999997204*357641=10000000000000035764
32512818178567*307571=10000000000000030757
33213653468668*301081=10000000000000030108
68879536578478*145181=10000000000000014518
81819000008182*122221=10000000000000012222
99999000010000*100001=10000000000000010000
219534148536805*45551=10000000000000004555
256732818156145*38951=10000000000000003895
357640999964236*27961=10000000000000002796
365350188155347*27371=10000000000000002737
900009000090001*11111=10000000000000001111
1099989000109999*9091=10000000000000000909
2414875633904854*4141=10000000000000000414
2824060999717594*3541=10000000000000000354
3354579000335458*2981=10000000000000000298
9000900090009001*1111=10000000000000000111
22172949002217295*451=10000000000000000045
36900369003690037*271=10000000000000000027
99009900990099010*101=10000000000000000010
243902439024390244*41=10000000000000000004
909090909090909091*11=10000000000000000001
21
13*7751937984496124031=100775193798449612403
24*4184100418410041841=100418410041841004184
100*1001001001001001001=100100100100100100100
465*215100021510002151=100021510002151000215
580*172443524745645801=100017244352474564580
1432*69837279139604721=100006983727913960472
2653*37694598364054431=100003769459836405443
8312*12030943586905521=100001203094358690552
27748*3603876329379881=100000360387632937988
38025*2629855699817751=100000262985569981775
51604*1937838031621641=100000193783803162164
64369*1553545267978791=100000155354526797879
539749*185271336356591=100000018527133635659
739656*135198002206161=100000013519800220616
922621*108386879161311=100000010838687916131
1000000*100000010000001=100000010000001000000
1083869*92262080773791=100000009226208077379
1247365*80169002671151=100000008016900267115
1709352*58501704651921=100000005850170465192
14333332*6976744883721=100000000697674488372
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(13:00) gp >