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113132131320 = 233513179405143
BaseRepresentation
bin110100101011100110…
…0110101001111111000
3101211000101001201210210
41221113030311033320
53323143311200240
6123545554111120
711113343151435
oct1512714651770
9354011051723
10113132131320
1143a8515879a
1219b1387b4a0
13a88c395050
145693182b8c
152e2208b780
hex1a573353f8

113132131320 has 128 divisors (see below), whose sum is σ = 367546636800. Its totient is φ = 27692265984.

The previous prime is 113132131247. The next prime is 113132131331. The reversal of 113132131320 is 23131231311.

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, 76669 + ... + 481811.

It is an arithmetic number, because the mean of its divisors is an integer number (2871458100).

Almost surely, 2113132131320 is an apocalyptic number.

113132131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183773318400).

113132131320 is an abundant number, since it is smaller than the sum of its proper divisors (254414505480).

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

113132131320 is a wasteful number, since it uses less digits than its factorization.

113132131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405349 (or 405345 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113132131320 its reverse (23131231311), we get a palindrome (136263362631).

Subtracting from 113132131320 its reverse (23131231311), we obtain a palindrome (90000900009).

The spelling of 113132131320 in words is "one hundred thirteen billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 179 195 260 312 358 390 520 537 716 780 895 1074 1432 1560 1790 2148 2327 2685 3580 4296 4654 5370 6981 7160 9308 10740 11635 13962 18616 21480 23270 27924 34905 46540 55848 69810 93080 139620 279240 405143 810286 1215429 1620572 2025715 2430858 3241144 4051430 4861716 5266859 6077145 8102860 9723432 10533718 12154290 15800577 16205720 21067436 24308580 26334295 31601154 42134872 48617160 52668590 63202308 72520597 79002885 105337180 126404616 145041194 158005770 210674360 217561791 290082388 316011540 362602985 435123582 580164776 632023080 725205970 870247164 942767761 1087808955 1450411940 1740494328 1885535522 2175617910 2828303283 2900823880 3771071044 4351235820 4713838805 5656606566 7542142088 8702471640 9427677610 11313213132 14141516415 18855355220 22626426264 28283032830 37710710440 56566065660 113132131320