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113344032320 = 2652691316729
BaseRepresentation
bin110100110001111010…
…1001010111001000000
3101211120010210102022222
41221203311022321000
53324112033013240
6124023003550212
711121525243551
oct1514365127100
9354503712288
10113344032320
114408382a092
1219b7282b368
13a8c425825c
1456b3382328
152e35996eb5
hex1a63d4ae40

113344032320 has 56 divisors (see below), whose sum is σ = 270904030200. Its totient is φ = 45169037312.

The previous prime is 113344032301. The next prime is 113344032337. The reversal of 113344032320 is 23230443311.

It can be written as a sum of positive squares in 4 ways, for example, as 6906274816 + 106437757504 = 83104^2 + 326248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113344032320.

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 7 ways as a sum of consecutive naturals, for example, 572285 + ... + 744444.

Almost surely, 2113344032320 is an apocalyptic number.

113344032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113344032320 is an abundant number, since it is smaller than the sum of its proper divisors (157559997880).

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

113344032320 is a wasteful number, since it uses less digits than its factorization.

113344032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317015 (or 1317005 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 113344032320 its reverse (23230443311), we get a palindrome (136574475631).

The spelling of 113344032320 in words is "one hundred thirteen billion, three hundred forty-four million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 1076 1345 2152 2690 4304 5380 8608 10760 17216 21520 43040 86080 1316729 2633458 5266916 6583645 10533832 13167290 21067664 26334580 42135328 52669160 84270656 105338320 210676640 354200101 421353280 708400202 1416800404 1771000505 2833600808 3542001010 5667201616 7084002020 11334403232 14168004040 22668806464 28336008080 56672016160 113344032320