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112461130431 = 33133110335551
BaseRepresentation
bin110100010111100110…
…1001010101010111111
3101202021121110100122000
41220233031022222333
53320310022133211
6123355224153343
711060614556556
oct1505715125277
9352247410560
10112461130431
1143770415901
1219967008853
13a7b336a1c0
14562bdd6d9d
152dd31e6656
hex1a2f34aabf

112461130431 has 32 divisors (see below), whose sum is σ = 185213091840. Its totient is φ = 66974364000.

The previous prime is 112461130417. The next prime is 112461130447. The reversal of 112461130431 is 134031164211.

112461130431 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 611 + 3 + 0 + 43 + 1 = 666.

It is not a de Polignac number, because 112461130431 - 25 = 112461130399 is a prime.

It is a super-2 number, since 2×1124611304312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112461130395 and 112461130404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112461130451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5156895 + ... + 5178656.

It is an arithmetic number, because the mean of its divisors is an integer number (5787909120).

Almost surely, 2112461130431 is an apocalyptic number.

112461130431 is a deficient number, since it is larger than the sum of its proper divisors (72751961409).

112461130431 is a wasteful number, since it uses less digits than its factorization.

112461130431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335604 (or 10335598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 112461130431 its reverse (134031164211), we get a palindrome (246492294642).

The spelling of 112461130431 in words is "one hundred twelve billion, four hundred sixty-one million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 10335551 31006653 93019959 134362163 279059877 320402081 403086489 961206243 1209259467 2883618729 3627778401 4165227053 8650856187 12495681159 37487043477 112461130431