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Leyland numbers
A number that can be written as ab + ba for a, b > 1. more

The Leyland numbers up to 1015 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 116412 values, from 8 to 101000).

n\r 0  1
25830358109 2
3323754139842639 3
44394758109143560 4
52584823881281231877019790 5
6126621890123144197132249719495 6
715164182052245517846126361691513191 7
83599058109717507957071810 8
9193773928097666498106197666500105723107 9
10141271138516482116748102117211249611641709611688 10
1195191020213882969912051112451100986479484908811586

A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.