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12031010131 = 722331344363
BaseRepresentation
bin10110011010001101…
…01010010101010011
31011001110110122020211
423031012222111103
5144114414311011
65305454144551
7604065620200
oct131506522523
934043418224
1012031010131
115114211a88
1223b91b2157
13119970150a
14821bb0ca7
154a6348b21
hex2cd1aa553

12031010131 has 24 divisors (see below), whose sum is σ = 15074878464. Its totient is φ = 9545714640.

The previous prime is 12031010077. The next prime is 12031010149. The reversal of 12031010131 is 13101013021.

12031010131 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 12031010131 - 27 = 12031010003 is a prime.

It is a super-2 number, since 2×120310101312 (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 (12031010231) 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, 137245 + ... + 207118.

It is an arithmetic number, because the mean of its divisors is an integer number (628119936).

Almost surely, 212031010131 is an apocalyptic number.

12031010131 is a deficient number, since it is larger than the sum of its proper divisors (3043868333).

12031010131 is a wasteful number, since it uses less digits than its factorization.

12031010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344431 (or 344424 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12031010131 its reverse (13101013021), we get a palindrome (25132023152).

The spelling of 12031010131 in words is "twelve billion, thirty-one million, ten thousand, one hundred thirty-one".

Divisors: 1 7 23 31 49 161 217 713 1127 1519 4991 34937 344363 2410541 7920349 10675253 16873787 55442443 74726771 245530819 388097101 523087397 1718715733 12031010131