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2312134414131 = 33127901891067
BaseRepresentation
bin100001101001010101111…
…100110100111100110011
322012001000121210222120210
4201221111330310330303
5300340222402223011
64530102504435203
7326021563151163
oct41512574647463
98161017728523
102312134414131
11811630666013
12314135178b03
1313a05832a489
147dc9d3dc5a3
1540225b0d6a6
hex21a55f34f33

2312134414131 has 16 divisors (see below), whose sum is σ = 3182410155008. Its totient is φ = 1491644484000.

The previous prime is 2312134414103. The next prime is 2312134414159. The reversal of 2312134414131 is 1314144312132.

It is an interprime number because it is at equal distance from previous prime (2312134414103) and next prime (2312134414159).

It is not a de Polignac number, because 2312134414131 - 210 = 2312134413107 is a prime.

It is a super-2 number, since 2×23121344141312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2312134414181) 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 15 ways as a sum of consecutive naturals, for example, 2149260 + ... + 3040326.

It is an arithmetic number, because the mean of its divisors is an integer number (198900634688).

Almost surely, 22312134414131 is an apocalyptic number.

2312134414131 is a deficient number, since it is larger than the sum of its proper divisors (870275740877).

2312134414131 is a wasteful number, since it uses less digits than its factorization.

2312134414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919002.

The product of its digits is 6912, while the sum is 30.

Adding to 2312134414131 its reverse (1314144312132), we get a palindrome (3626278726263).

The spelling of 2312134414131 in words is "two trillion, three hundred twelve billion, one hundred thirty-four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 31 93 27901 83703 864931 891067 2594793 2673201 27623077 82869231 24861660367 74584981101 770711471377 2312134414131