What is the smallest 9 digit number of the form $aaa, \! aaa, \! aaa$ such that it is divisible by 9? (Notice that all the digits of this number must be the same!)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the smallest 9 digit number of the form $aaa, \! aaa, \! aaa$ such that it is divisible by 9? (Notice that all the digits of this number must be the same!)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
111, \! 111, \! 111
What is the smallest 9 digit number of the form $aaa, \! aaa, \! aaa$ such that it is divisible by 9? (Notice that all the digits of this number must be the same!)
train