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112305037060 = 225101257216329
BaseRepresentation
bin110100010010111100…
…1101101111100000100
3101201212201201222210001
41220211321231330010
53320000042141220
6123331530411044
711054011031056
oct1504571557404
9351781658701
10112305037060
11436a02a1617
1219922890a84
13a789c16968
1456153a38d6
152dc466180a
hex1a25e6df04

112305037060 has 48 divisors (see below), whose sum is σ = 239103491760. Its totient is φ = 44303974400.

The previous prime is 112305037057. The next prime is 112305037063. The reversal of 112305037060 is 60730503211.

It is an interprime number because it is at equal distance from previous prime (112305037057) and next prime (112305037063).

It can be written as a sum of positive squares in 8 ways, for example, as 43631689924 + 68673347136 = 208882^2 + 262056^2 .

It is a super-2 number, since 2×1123050370602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112305037063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410976 + ... + 627304.

It is an arithmetic number, because the mean of its divisors is an integer number (4981322745).

Almost surely, 2112305037060 is an apocalyptic number.

112305037060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112305037060 is an abundant number, since it is smaller than the sum of its proper divisors (126798454700).

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

112305037060 is a wasteful number, since it uses less digits than its factorization.

112305037060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216696 (or 216694 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 112305037060 in words is "one hundred twelve billion, three hundred five million, thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 101 202 257 404 505 514 1010 1028 1285 2020 2570 5140 25957 51914 103828 129785 216329 259570 432658 519140 865316 1081645 2163290 4326580 21849229 43698458 55596553 87396916 109246145 111193106 218492290 222386212 277982765 436984580 555965530 1111931060 5615251853 11230503706 22461007412 28076259265 56152518530 112305037060