# 85 Follower problem

**Number Theory**Level 4

Determine the sum of all three digit number \(N\) such that \(N\) is divisible by 11 and \(\dfrac{N}{11}\) is equal to sum of the square of the digit of \(N\).

**Bonus**:- Find for such 4 digit numbers

Determine the sum of all three digit number \(N\) such that \(N\) is divisible by 11 and \(\dfrac{N}{11}\) is equal to sum of the square of the digit of \(N\).

**Bonus**:- Find for such 4 digit numbers

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