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sum of digits of number N is 209 and 209 | N

Source: China Northern MO 2009 p8 CNMO

December 12, 2020
number theorysum of digitsdivides

Problem Statement

Find the smallest positive integer NN satisfies : 1 . 209209ā”‚NN 2 . S(N)=209 S (N) = 209 ( # Here S(m)S(m) means the sum of digits of number mm )
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