MathProblemsBank

12.2.18 Number theory

Problem: The set \( A \) contains all and only those natural numbers, the sum of the digits of each of which does not change as a result of multiplication by 11 . Before each number from the set \( A \) all its natural divisors were written in ascending order. Find the largest value among all the numbers written in the third place in any line, and if the desired maximum does not exist, then indicate the word no as an answer.