Why min base number of the sample is 11? In statement I can't find that k should be >= max digit in an initial number.

BTW if I convert any number to binary it will always be divisible by 1 and as far as I see  will satisfy every condition from the statement (the given number, written in k-based system is divisible by k−1, 2 ≤ k ≤ 36).

Thanks.

Edited by author 13.04.2017 17:00

What "A" digit means if base is less then 11?
Could you transform "A1A" to base 10 from base... 7 for example?

Thanks a lot, now I read the statement in a different way.