All divisible?

True or False?

All integers which are in the form 12008, 120308, 1203308, 12033308, , 12033333333n number of 3’s08, 12008,\ 120308,\ 1203308,\ 12033308,\ \ldots,\ 120\underbrace{3333333\ldots3}_{n \text{ number of 3's}}08,\ \ldots are divisible by 19.

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