There is no indication that the base of the given number is anything other than "normal". Since the default base is 10, the answer is 11111111.
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11111111 + 111111111 = 122222222
11111111 times 1
You can look it up (00010110) or convert each numeral to binary individually. 11111111 is 255 decimal and is the largest number expressible with 8 binary digits.
Assuming you mean in IPv4, then it's the broadcast address meaning all devices on the network segment should listen to and accept the packet.
It is an irrational number. Actually it is a rational number. Think 2/3=.6666666, 1/9=.11111111.