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111160116 = 22328213761
BaseRepresentation
bin1101010000000…
…10101100110100
321202011112000100
412220002230310
5211424110431
615010314100
72516562654
oct650025464
9252145010
10111160116
1157824271
1231288930
131a050422
1410a98364
159b5b4e6
hex6a02b34

111160116 has 36 divisors (see below), whose sum is σ = 281405124. Its totient is φ = 36998400.

The previous prime is 111160111. The next prime is 111160121. The reversal of 111160116 is 611061111.

It is an interprime number because it is at equal distance from previous prime (111160111) and next prime (111160121).

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 71470116 = 6300^2 + 8454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111160111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27676 + ... + 31436.

It is an arithmetic number, because the mean of its divisors is an integer number (7816809).

Almost surely, 2111160116 is an apocalyptic number.

It is an amenable number.

111160116 is an abundant number, since it is smaller than the sum of its proper divisors (170245008).

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

111160116 is a wasteful number, since it uses less digits than its factorization.

111160116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 111160116 is about 10543.2497836293. The cubic root of 111160116 is about 480.8205236610.

The spelling of 111160116 in words is "one hundred eleven million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 821 1642 2463 3284 3761 4926 7389 7522 9852 11283 14778 15044 22566 29556 33849 45132 67698 135396 3087781 6175562 9263343 12351124 18526686 27790029 37053372 55580058 111160116