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111164116 = 22743127727
BaseRepresentation
bin1101010000000…
…11101011010100
321202011201111111
412220003223110
5211424222431
615010344404
72516610430
oct650035324
9252151444
10111164116
1157827278
123128b104
131a0521ab
1410a999c0
159b5c7b1
hex6a03ad4

111164116 has 48 divisors (see below), whose sum is σ = 229605376. Its totient is φ = 46103904.

The previous prime is 111164107. The next prime is 111164147. The reversal of 111164116 is 611461111.

It is a happy number.

It is a super-2 number, since 2×1111641162 = 24714921372122912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152545 + ... + 153271.

Almost surely, 2111164116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111164116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114802688).

111164116 is an abundant number, since it is smaller than the sum of its proper divisors (118441260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111164116 is a wasteful number, since it uses less digits than its factorization.

111164116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

The square root of 111164116 is about 10543.4394767552. The cubic root of 111164116 is about 480.8262908945.

The spelling of 111164116 in words is "one hundred eleven million, one hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 43 86 127 172 254 301 508 602 727 889 1204 1454 1778 2908 3556 5089 5461 10178 10922 20356 21844 31261 38227 62522 76454 92329 125044 152908 184658 218827 369316 437654 646303 875308 1292606 2585212 3970147 7940294 15880588 27791029 55582058 111164116