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12131033031 = 3213317327079
BaseRepresentation
bin10110100110001000…
…01101111111000111
31011022102200022212200
423103010031333013
5144321021024111
65323430045543
7606422036145
oct132304157707
934272608780
1012131033031
115165719737
1224267a98b3
1311b4352570
148311aa595
154b0005256
hex2d310dfc7

12131033031 has 24 divisors (see below), whose sum is σ = 18930082080. Its totient is φ = 7441678656.

The previous prime is 12131032997. The next prime is 12131033039. The reversal of 12131033031 is 13033013121.

It is a happy number.

12131033031 is a `hidden beast` number, since 1 + 21 + 310 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 12131033031 - 214 = 12131016647 is a prime.

It is a super-2 number, since 2×121310330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12131032995 and 12131033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131033039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126451 + ... + 200628.

It is an arithmetic number, because the mean of its divisors is an integer number (788753420).

Almost surely, 212131033031 is an apocalyptic number.

12131033031 is a deficient number, since it is larger than the sum of its proper divisors (6799049049).

12131033031 is a wasteful number, since it uses less digits than its factorization.

12131033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327415 (or 327412 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12131033031 its reverse (13033013121), we get a palindrome (25164046152).

The spelling of 12131033031 in words is "twelve billion, one hundred thirty-one million, thirty-three thousand, thirty-one".

Divisors: 1 3 9 13 39 117 317 951 2853 4121 12363 37089 327079 981237 2943711 4252027 12756081 38268243 103684043 311052129 933156387 1347892559 4043677677 12131033031