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12013141131 = 33444931153
BaseRepresentation
bin10110011000000100…
…11111110010001011
31011000012211210121000
423030002133302023
5144100331004011
65304015150043
7603461005035
oct131402376213
934005753530
1012013141131
115105117812
1223b3215323
131195ab6044
1481d67cc55
154a49b9356
hex2cc09fc8b

12013141131 has 8 divisors (see below), whose sum is σ = 17797246160. Its totient is φ = 8008760736.

The previous prime is 12013141097. The next prime is 12013141181. The reversal of 12013141131 is 13114131021.

It is a happy number.

12013141131 is a `hidden beast` number, since 120 + 131 + 411 + 3 + 1 = 666.

12013141131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12013141131 - 210 = 12013140107 is a prime.

It is a super-2 number, since 2×120131411312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12013141181) 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 7 ways as a sum of consecutive naturals, for example, 222465550 + ... + 222465603.

It is an arithmetic number, because the mean of its divisors is an integer number (2224655770).

Almost surely, 212013141131 is an apocalyptic number.

12013141131 is a deficient number, since it is larger than the sum of its proper divisors (5784105029).

12013141131 is an equidigital number, since it uses as much as digits as its factorization.

12013141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444931162 (or 444931156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12013141131 its reverse (13114131021), we get a palindrome (25127272152).

The spelling of 12013141131 in words is "twelve billion, thirteen million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 444931153 1334793459 4004380377 12013141131