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HMMT 2022 A2

  • Algebra and Number Theory
  • Answer

Compute the number of positive integers that divide at least two of the integers in the set {11,22,33,44,55,66,77,88,99,1010}\left\{1^{1}, 2^{2}, 3^{3}, 4^{4}, 5^{5}, 6^{6}, 7^{7}, 8^{8}, 9^{9}, 10^{10}\right\}.

Dataset text NuminaMath olympiads. Quoted with source.

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