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112332414042 = 23219217287229
BaseRepresentation
bin110100010011110001…
…0001001110001011010
3101201221122020212221100
41220213202021301122
53320024044222132
6123334345252230
711054462523252
oct1504742116132
9351848225840
10112332414042
11437047a0322
121992ba94076
13a7927b0a64
145618c8c962
152dc6c6d37c
hex1a27889c5a

112332414042 has 36 divisors (see below), whose sum is σ = 256870950570. Its totient is φ = 35473391856.

The previous prime is 112332413971. The next prime is 112332414043. The reversal of 112332414042 is 240414233211.

112332414042 is a `hidden beast` number, since 1 + 1 + 233 + 24 + 1 + 404 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101416134681 + 10916279361 = 318459^2 + 104481^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112332413997 and 112332414015.

It is not an unprimeable number, because it can be changed into a prime (112332414043) 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 17 ways as a sum of consecutive naturals, for example, 8637117 + ... + 8650112.

Almost surely, 2112332414042 is an apocalyptic number.

112332414042 is an abundant number, since it is smaller than the sum of its proper divisors (144538536528).

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

112332414042 is a wasteful number, since it uses less digits than its factorization.

112332414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287275 (or 17287253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112332414042 its reverse (240414233211), we get a palindrome (352746647253).

The spelling of 112332414042 in words is "one hundred twelve billion, three hundred thirty-two million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 17287229 34574458 51861687 103723374 155585061 311170122 328457351 656914702 985372053 1970744106 2956116159 5912232318 6240689669 12481379338 18722069007 37444138014 56166207021 112332414042