Is the nickname "Alex" too common?

Anatoly
We don't know the gender yet, but we're thinking we might like "Alexander" if it's a boy. He'd probably end up getting called "Alex" because it's a really common nickname for that name (I know there are alternatives like Xander and such). 
I like Alex, but I worry that people are sick of it or that it's overused. What do you think?

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