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ASU 396 All Soviet Union MO 1985 sum of squares of digits 10^6

Source:

August 5, 2019
sum of digitsSum of SquaresSumnumber theorydecimal representationDigits

Problem Statement

Is there any numbber nn, such that the sum of its digits in the decimal notation is 10001000, and the sum of its square digits in the decimal notation is 10000001000000?
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