What is the smallest number so that if you move its last digit to the beginning (for example, turning 1234 into 4123) you get a new number that is an integer multiple of the original number?

With leading zeroes:

01 becomes 10 (10 times larger)

With repeated digits:

11 becomes 11 (1 is an integer)

Probably what you were intending:

If such a number exists it has more than 4 digits, because I haven't found it yet.

-Jer

Posted by Jer on 2004-09-23 13:16:29