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112330313320 = 23529101958777
BaseRepresentation
bin110100010011101101…
…0001000111001101000
3101201221111022011021211
41220213122020321220
53320023030011240
6123334232242504
711054435623561
oct1504732107150
9351844264254
10112330313320
1143703595a95
121992b240434
13a792226824
1456188a3168
152dc69a5bea
hex1a27688e68

112330313320 has 64 divisors (see below), whose sum is σ = 264047461200. Its totient is φ = 42953164800.

The previous prime is 112330313311. The next prime is 112330313321. The reversal of 112330313320 is 23313033211.

It can be written as a sum of positive squares in 8 ways, for example, as 82705707396 + 29624605924 = 287586^2 + 172118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112330313291 and 112330313300.

It is not an unprimeable number, because it can be changed into a prime (112330313321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362229 + ... + 596548.

Almost surely, 2112330313320 is an apocalyptic number.

112330313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112330313320 is an abundant number, since it is smaller than the sum of its proper divisors (151717147880).

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

112330313320 is a wasteful number, since it uses less digits than its factorization.

112330313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958918 (or 958914 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 112330313320 its reverse (23313033211), we get a palindrome (135643346531).

The spelling of 112330313320 in words is "one hundred twelve billion, three hundred thirty million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 202 232 290 404 505 580 808 1010 1160 2020 2929 4040 5858 11716 14645 23432 29290 58580 117160 958777 1917554 3835108 4793885 7670216 9587770 19175540 27804533 38351080 55609066 96836477 111218132 139022665 193672954 222436264 278045330 387345908 484182385 556090660 774691816 968364770 1112181320 1936729540 2808257833 3873459080 5616515666 11233031332 14041289165 22466062664 28082578330 56165156660 112330313320