Let $A$ be the product of the divisors of $300$. What is the sum of the distinct prime divisors of $A$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $A$ be the product of the divisors of $300$. What is the sum of the distinct prime divisors of $A$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
10
Let $A$ be the product of the divisors of $300$. What is the sum of the distinct prime divisors of $A$?
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