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113431342131 = 32113238946687
BaseRepresentation
bin110100110100100001…
…0001110110000110011
3101211210020002012212200
41221221002032300303
53324301410422011
6124035403154243
711123635333242
oct1515102166063
9354706065780
10113431342131
1144119043258
1219b97b15983
13a909377873
1456c0bcc959
152e3d491856
hex1a6908ec33

113431342131 has 24 divisors (see below), whose sum is σ = 165367962240. Its totient is φ = 74918704896.

The previous prime is 113431342097. The next prime is 113431342133. The reversal of 113431342131 is 131243134311.

113431342131 is a `hidden beast` number, since 1 + 13 + 431 + 3 + 4 + 213 + 1 = 666.

It is not a de Polignac number, because 113431342131 - 29 = 113431341619 is a prime.

It is a super-2 number, since 2×1134313421312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113431342095 and 113431342104.

It is not an unprimeable number, because it can be changed into a prime (113431342133) 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 23 ways as a sum of consecutive naturals, for example, 2406270 + ... + 2452956.

It is an arithmetic number, because the mean of its divisors is an integer number (6890331760).

Almost surely, 2113431342131 is an apocalyptic number.

113431342131 is a deficient number, since it is larger than the sum of its proper divisors (51936620109).

113431342131 is a wasteful number, since it uses less digits than its factorization.

113431342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49195 (or 49192 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 113431342131 its reverse (131243134311), we get a palindrome (244674476442).

The spelling of 113431342131 in words is "one hundred thirteen billion, four hundred thirty-one million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 113 339 1017 2389 7167 21501 46687 140061 269957 420183 809871 2429613 5275631 15826893 47480679 111535243 334605729 1003817187 12603482459 37810447377 113431342131