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13120442759 = 233141479937
BaseRepresentation
bin11000011100000101…
…00001000110000111
31020212101102112212102
430032002201012013
5203332313132014
610005532342315
7643064631464
oct141602410607
936771375772
1013120442759
115623169926
12266201499b
1313113222c8
148c675c66b
1551bce38de
hex30e0a1187

13120442759 has 32 divisors (see below), whose sum is σ = 14522941440. Its totient is φ = 11811571200.

The previous prime is 13120442737. The next prime is 13120442773. The reversal of 13120442759 is 95724402131.

It is a cyclic number.

It is not a de Polignac number, because 13120442759 - 212 = 13120438663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120442659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14002139 + ... + 14003075.

It is an arithmetic number, because the mean of its divisors is an integer number (453841920).

Almost surely, 213120442759 is an apocalyptic number.

13120442759 is a deficient number, since it is larger than the sum of its proper divisors (1402498681).

13120442759 is a wasteful number, since it uses less digits than its factorization.

13120442759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 13120442759 in words is "thirteen billion, one hundred twenty million, four hundred forty-two thousand, seven hundred fifty-nine".

Divisors: 1 23 31 41 479 713 937 943 1271 11017 14849 19639 21551 29047 29233 38417 341527 448823 451697 608809 668081 883591 1190927 10322929 13913513 14002607 18401743 27391321 320010799 423240089 570454033 13120442759