Determine all possible value(s) of a 15-digit base ten positive integer N which is constituted entirely by the digits 2 and 3, such that N is divisible by the base ten repunit R₇.

233333323333332
= 1111111 * [2² * 3 * 37 * 79 * 5987]
= 1111111 * 210000012

Posted by Dej Mar on 2010-01-07 13:28:49