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Last name Батай (Batai , Batay , Батай ) , in the world, is a common surname. The cognomen Батай is characteristic of France, where it is quite a common surname, Belgium, where it is quite a rare surname, and Hungary. Not in comparison with a country's population, this name is the most popular in France, India, and Belgium. Much less frequently, Батай is the forename as well as the last name.