MathDB

9

Part of 1962 All-Soviet Union Olympiad

Problems(1)

Number with 1998 digits.

Source: 1962 All-Soviet Union Olympiad

1/15/2018
Given is a number with 19981998 digits which is divisible by 99. Let xx be the sum of its digits, let yy be the sum of the digits of xx, and zz the sum of the digits of yy. Find zz.
number theoryRussia