19291 and 124060421
constitute a remarkable palindromic duo.

Form the numerator as follows : n*(n+1)*(n+2).
Form the denominator as follows : n+(n+1)+(n+2).
Now replace 'n' with our remarkable palindrome 19291 and finish the division.
19291 * 19292 * 19293
19291 + 19292 + 19293
| 7180120925796
57876
| = 124060421
|
|---|
Moreover we see that 124060421 divided by 19291 = 6431 exactly !
19291 has two palindromic prime factors : 101 x 191 !
n+(n+1) = 19291 + 19292 = 38583 again another palindrome.
See also Sloane's entry A032789
The same can be done when we replace 'n' with 9, 99, 999, 9999, ...
The resulting palindromes will be the series 33, 333, 3333, 33333, ...