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12131123013 = 3223151388109
BaseRepresentation
bin10110100110001001…
…00011111101000101
31011022102211220022100
423103010203331011
5144321031414023
65323432022313
7606422562402
oct132304437505
934272756270
1012131123013
1151657802a9
122426831999
1311b43844c9
148311d12a9
154b0021c43
hex2d3123f45

12131123013 has 24 divisors (see below), whose sum is σ = 18405728640. Its totient is φ = 7684538400.

The previous prime is 12131122987. The next prime is 12131123033. The reversal of 12131123013 is 31032113121.

12131123013 is a `hidden beast` number, since 121 + 311 + 230 + 1 + 3 = 666.

12131123013 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 12131123013 - 25 = 12131122981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131123033) 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, 162798 + ... + 225311.

It is an arithmetic number, because the mean of its divisors is an integer number (766905360).

Almost surely, 212131123013 is an apocalyptic number.

It is an amenable number.

12131123013 is a deficient number, since it is larger than the sum of its proper divisors (6274605627).

12131123013 is a wasteful number, since it uses less digits than its factorization.

12131123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388289 (or 388286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131123013 its reverse (31032113121), we get a palindrome (43163236134).

The spelling of 12131123013 in words is "twelve billion, one hundred thirty-one million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 23 69 151 207 453 1359 3473 10419 31257 388109 1164327 3492981 8926507 26779521 58604459 80338563 175813377 527440131 1347902557 4043707671 12131123013