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13120132034004 = 22343127709282383
BaseRepresentation
bin1011111011101100010011…
…0011110010110111010100
31201110021100120010011101020
42332323010303302313110
53204430012300042004
643523145551001140
72522620050135522
oct276730463626724
951407316104336
1013120132034004
1141a9242545a26
12157a9298091b0
137422b9320cc8
14335036adb312
1517b44101d8d9
hexbeec4cf2dd4

13120132034004 has 96 divisors (see below), whose sum is σ = 31616887357440. Its totient is φ = 4232043220608.

The previous prime is 13120132033973. The next prime is 13120132034017. The reversal of 13120132034004 is 40043023102131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46320997 + ... + 46603379.

It is an arithmetic number, because the mean of its divisors is an integer number (329342576640).

Almost surely, 213120132034004 is an apocalyptic number.

It is an amenable number.

13120132034004 is an abundant number, since it is smaller than the sum of its proper divisors (18496755323436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13120132034004 is a wasteful number, since it uses less digits than its factorization.

13120132034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283269 (or 283267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13120132034004 its reverse (40043023102131), we get a palindrome (53163155136135).

The spelling of 13120132034004 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty-two million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 43 86 127 129 172 254 258 381 508 516 709 762 1418 1524 2127 2836 4254 5461 8508 10922 16383 21844 30487 32766 60974 65532 90043 91461 121948 180086 182922 270129 282383 360172 365844 540258 564766 847149 1080516 1129532 1694298 3388596 3871849 7743698 11615547 12142469 15487396 23231094 24284938 35862641 36427407 46462188 48569876 71725282 72854814 107587923 143450564 145709628 200209547 215175846 400419094 430351692 600628641 800838188 1201257282 1542093563 2402514564 3084187126 4626280689 6168374252 8609010521 9252561378 17218021042 18505122756 25426612469 25827031563 34436042084 50853224938 51654063126 76279837407 101706449876 103308126252 152559674814 305119349628 1093344336167 2186688672334 3280033008501 4373377344668 6560066017002 13120132034004