Sum! Divided by 100

What is the remainder when 1!+2!+3!++29!+30!1! + 2! + 3! + \ldots + 29! + 30! is divided by 100100?

Details and assumptions

The notation n! n! (read as nn factorial) refers to multiplying all the positive integers from 11 to nn. For example, 8!=8×7×6×5×4×3×2×1 8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1.

×

Problem Loading...

Note Loading...

Set Loading...