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2017 AMC 10B Question 23

AMC10 · 2017 AMC 10B

Question 23

Let $$
N=123456789101112\dots4344
$$ be the $79$-digit number that is formed by writing the integers from $1$ to $44$ in order, one after the other. What is the remainder when $N$ is divided by $45?$
  1. $1 $
  2. $4 $
  3. $9 $
  4. $18 $
  5. $44 $