I live in China, whenever I write numbers (01234566789) on a piece of paper by hand, Chinese people are generally confused and can’t understand what I wrote.
I doubt you actually live in China since a single trip to the market would show you a bunch of vendors with calculators if they don’t have computers that show the price. But … maybe you just arrived and have never looked at a phrase book.
For most things related to money the Arabic numbers are used.
For things like episode number or a list often Chinese numbers will be used.
There is already an answer with the numbers are it takes 30 seconds to do a google search or use any translation software. I don’t see the point in providing them again.
That being said my guess is that the problem with writing down random numbers is context. People don’t know what you mean with the numbers.