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13040345013 = 321152139541
BaseRepresentation
bin11000010010100001…
…11101111110110101
31020122210201011102020
430021100331332311
5203201312020023
65553551503353
7641103050403
oct141120757665
936583634366
1013040345013
115591a31243
12263b227b59
1312ca8595a7
148b9c6c473
15514c70de3
hex30943dfb5

13040345013 has 16 divisors (see below), whose sum is σ = 17503503552. Its totient is φ = 8635536000.

The previous prime is 13040344987. The next prime is 13040345033. The reversal of 13040345013 is 31054304031.

It is a happy number.

It is not a de Polignac number, because 13040345013 - 29 = 13040344501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040345033) 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 15 ways as a sum of consecutive naturals, for example, 310023 + ... + 349563.

It is an arithmetic number, because the mean of its divisors is an integer number (1093968972).

Almost surely, 213040345013 is an apocalyptic number.

It is an amenable number.

13040345013 is a deficient number, since it is larger than the sum of its proper divisors (4463158539).

13040345013 is a wasteful number, since it uses less digits than its factorization.

13040345013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40276.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13040345013 its reverse (31054304031), we get a palindrome (44094649044).

The spelling of 13040345013 in words is "thirteen billion, forty million, three hundred forty-five thousand, thirteen".

Divisors: 1 3 211 521 633 1563 39541 109931 118623 329793 8343151 20600861 25029453 61802583 4346781671 13040345013