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112123030023072 = 25321133445275013
BaseRepresentation
bin11001011111100110101101…
…011000000010101110100000
3112200222212010202002100211100
4121133212231120002232200
5104144010431141214242
61034244335305114400
732421423131125545
oct3137465530025640
9480885122070740
10112123030023072
11327a91234522a2
12106aa23ba88a00
134a742056b6a43
141d98ad8316bcc
15ce689d6ba54c
hex65f9ad602ba0

112123030023072 has 72 divisors (see below), whose sum is σ = 321671546957124. Its totient is φ = 37043596929024.

The previous prime is 112123030023071. The next prime is 112123030023077. The reversal of 112123030023072 is 270320030321211.

112123030023072 is a `hidden beast` number, since 1 + 1 + 2 + 123 + 0 + 300 + 230 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94998628732176 + 17124401290896 = 9746724^2 + 4138164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (112123030023071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722604963 + ... + 1722670050.

Almost surely, 2112123030023072 is an apocalyptic number.

112123030023072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112123030023072 is an abundant number, since it is smaller than the sum of its proper divisors (209548516934052).

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

112123030023072 is a wasteful number, since it uses less digits than its factorization.

112123030023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445275142 (or 3445275131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 112123030023072 its reverse (270320030321211), we get a palindrome (382443060344283).

The spelling of 112123030023072 in words is "one hundred twelve trillion, one hundred twenty-three billion, thirty million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 3445275013 6890550026 10335825039 13781100052 20671650078 27562200104 31007475117 41343300156 55124400208 62014950234 82686600312 110248800416 124029900468 165373200624 248059800936 330746401248 389316076469 496119601872 778632152938 992239203744 1167948229407 1557264305876 2335896458814 3114528611752 3503844688221 4671792917628 6229057223504 7007689376442 9343585835256 12458114447008 14015378752884 18687171670512 28030757505768 37374343341024 56061515011536 112123030023072