These yelling bases aren't so scary in subscript
Number Theory
Level
4
\[\large 33_{3!} + 44_{4!} + 55_{5!} + \ldots + 99_{9!} + \mathrm{\overline { XX } }_{\mathrm{X}!}\]
Find the remainder (in decimal representation) when the number above is divided by 13 in base 10.
Note: \(\mathrm{X} = 10\).
by
Jake Lai