Small companies(S corps and LLCs) don't pay corporate taxes. C corps pay a wide variety of taxes depending on where they earn their profits, how aggressively they working to minimize tax burden, and how hard their industry lobbyists work.

Certainly some companies pay far more and far less than their fair share. I'd wager the tech companies who generally have little in the way of physical presence where they earn revenue, and have towns and cities competing for the chance to host their offices and data centers, probably pay very little relatively.