MathDB

An integer

n

such that

\Bigl\lfloor \frac{n}{9} \Bigr\rfloor

is a three digit number with equal digits, and

\Bigl\lfloor \frac{n-172}{4} \Bigr\rfloor

is a

4

digit number with the digits

2,0,2,4

in some order. What is the remainder when

n

is divided by

100

21