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12312320013 = 3272137203789
BaseRepresentation
bin10110111011101111…
…10001100000001101
31011210001210122212100
423131313301200031
5200203423220023
65353423425313
7614052664500
oct133567614015
934701718770
1012312320013
115248a90294
122477455239
131212a87176
1484b2bb137
154c0db4c43
hex2dddf180d

12312320013 has 36 divisors (see below), whose sum is σ = 20839157820. Its totient is φ = 6984222336.

The previous prime is 12312319997. The next prime is 12312320063. The reversal of 12312320013 is 31002321321.

It can be written as a sum of positive squares in 2 ways, for example, as 3551921604 + 8760398409 = 59598^2 + 93597^2 .

It is not a de Polignac number, because 12312320013 - 24 = 12312319997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312320063) 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 35 ways as a sum of consecutive naturals, for example, 41478 + ... + 162311.

It is an arithmetic number, because the mean of its divisors is an integer number (578865495).

Almost surely, 212312320013 is an apocalyptic number.

It is an amenable number.

12312320013 is a deficient number, since it is larger than the sum of its proper divisors (8526837807).

12312320013 is a wasteful number, since it uses less digits than its factorization.

12312320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203946 (or 203936 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12312320013 its reverse (31002321321), we get a palindrome (43314641334).

The spelling of 12312320013 in words is "twelve billion, three hundred twelve million, three hundred twenty thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 137 147 411 441 959 1233 2877 6713 8631 20139 60417 203789 611367 1426523 1834101 4279569 9985661 12838707 27919093 29956983 83757279 89870949 195433651 251271837 586300953 1368035557 1758902859 4104106671 12312320013