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12031112131 = 149198740637
BaseRepresentation
bin10110011010001110…
…00011001111000011
31011001110122211011121
423031013003033003
5144114431042011
65305500253111
7604066523443
oct131507031703
934043584147
1012031112131
115114281685
1223b9241197
131199738a7c
14821bda123
154a6368e71
hex2cd1c33c3

12031112131 has 8 divisors (see below), whose sum is σ = 12118251600. Its totient is φ = 11944058208.

The previous prime is 12031112087. The next prime is 12031112153. The reversal of 12031112131 is 13121113021.

It is a happy number.

12031112131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12031112131 - 211 = 12031110083 is a prime.

It is a super-2 number, since 2×120311121312 (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 (12031113131) 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, 275745 + ... + 316381.

It is an arithmetic number, because the mean of its divisors is an integer number (1514781450).

Almost surely, 212031112131 is an apocalyptic number.

12031112131 is a deficient number, since it is larger than the sum of its proper divisors (87139469).

12031112131 is a wasteful number, since it uses less digits than its factorization.

12031112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12031112131 its reverse (13121113021), we get a palindrome (25152225152).

The spelling of 12031112131 in words is "twelve billion, thirty-one million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 149 1987 40637 296063 6054913 80745719 12031112131