I recently came across this problem and I was wondering what methods you guys would use to solve it. I can show what I did later, but I'm hoping one of you finds a method I like better so I'm going to leave the answer open right now. It's a pretty simple problem but it was on a site that said "olympiad level problems so... who knows..."
How many digits are there in [unparseable or potentially dangerous latex formula]?
Maybe we could generalize this and everyone could share their methods for finding the number of digits in [unparseable or potentially dangerous latex formula].