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113521142320 = 24523379162787
BaseRepresentation
bin110100110111001100…
…0110010101000110000
3101212000111001112120121
41221232120302220300
53324442403023240
6124052332020024
711126105534335
oct1515630625060
9355014045517
10113521142320
11441647a8493
121a002001614
13a921b59881
1456ccac698c
152e462ce04a
hex1a6e632a30

113521142320 has 80 divisors (see below), whose sum is σ = 276140540160. Its totient is φ = 43319308032.

The previous prime is 113521142249. The next prime is 113521142347. The reversal of 113521142320 is 23241125311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615967 + ... + 778753.

It is an arithmetic number, because the mean of its divisors is an integer number (3451756752).

Almost surely, 2113521142320 is an apocalyptic number.

113521142320 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 113521142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138070270080).

113521142320 is an abundant number, since it is smaller than the sum of its proper divisors (162619397840).

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

113521142320 is a wasteful number, since it uses less digits than its factorization.

113521142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163202 (or 163196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 113521142320 its reverse (23241125311), we get a palindrome (136762267631).

The spelling of 113521142320 in words is "one hundred thirteen billion, five hundred twenty-one million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 379 460 758 920 1516 1840 1895 3032 3790 6064 7580 8717 15160 17434 30320 34868 43585 69736 87170 139472 162787 174340 325574 348680 651148 697360 813935 1302296 1627870 2604592 3255740 3744101 6511480 7488202 13022960 14976404 18720505 29952808 37441010 59905616 61696273 74882020 123392546 149764040 246785092 299528080 308481365 493570184 616962730 987140368 1233925460 1419014279 2467850920 2838028558 4935701840 5676057116 7095071395 11352114232 14190142790 22704228464 28380285580 56760571160 113521142320