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Let a, b, c be three (not necessarily distinct) nonzero digits. Given that the positive integer N always divides the sum of six three-digit number abc, acb, bac, bca, cab, cba, what is the maximum possible value of N?

 Feb 2, 2022
 #1
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The maximum possible value of N is 111.

 Feb 2, 2022
 #2
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thanks, that's right!

Guest Feb 2, 2022

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