How many positive 10-digit integers of the form ABCDEFGHIJ, with non leading zeroes and each letter representing a different base 10 digit from 0 to 9, are divisible by 11,111 ?

Note : Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

There are 3456 pandigital 10-digit numbers divisible by 11111.

The smallest is 1023489765, and the largest is 9876501234.

Edited on October 2, 2008, 12:47 pm

Posted by Dej Mar on 2008-10-02 11:30:48