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3

Part of 2014 JBMO TST - Macedonia

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Macedonian JBMO TST 2014, Problem 3

Source:

3/30/2015
Find all positive integers nn which are divisible by 11 and satisfy the following condition: all the numbers which are generated by an arbitrary rearrangement of the digits of nn, are also divisible by 11.
number theoryDigitsDivisibility