It is known that a = 110100 + 210101 + 310102 + +1110110, then the integral part of a is______ .

It is known that a = 110100 + 210101 + 310102 + +1110110, then the integral part of a is______ .

A=110100+210101+310102+… +1110110,=(1+2+3+… +11)+(10100+10101+10102+… +10110),=66+(10100+10101+10102+… +10110), because: 66 + 10110 × 11 < a < 66 + 10100 × 11, that is: 67 < a < 67110; therefore, the integral part of a is 67; so the answer is: 67