I have a personal server located in the US, I use it to execute code which requires a lot of resources. I sometimes have apache running on my server, to test php code. I recently left my apache server running overnight, and the next morning I decided to check which ip addresses where connected to my server. To my surprise, I saw a bunch of ip addresses connected via http. Now I have my apache running so only certain ip addresses are allowed to see my directories. Everyone else would get 'forbidden' error, so that's not a problem. So I looked up these ip addresses that were connected to my server, some where from china, malaysia, and other asian countries, one of the ip addresses was google. So I googled my ip address and it was listed in many databases online.
Should I be concerened about this, and talk to my server provider to switch Ip address? Also, are there some bots online that just connect to random servers and sniff open ports or something? is this normal?