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113204312320 = 2851152315373
BaseRepresentation
bin110100101101110000…
…0001011100100000000
3101211012101212220112011
41221123200023210000
53323320300443240
6124001053142304
711115210530611
oct1513340134400
9354171786464
10113204312320
1144011979410
1219b33a8a994
13a8a13184b8
14569c9b1c08
152e285986ea
hex1a5b80b900

113204312320 has 144 divisors (see below), whose sum is σ = 296395468992. Its totient is φ = 41083822080.

The previous prime is 113204312257. The next prime is 113204312393. The reversal of 113204312320 is 23213402311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113204312291 and 113204312300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7356154 + ... + 7371526.

It is an arithmetic number, because the mean of its divisors is an integer number (2058301868).

Almost surely, 2113204312320 is an apocalyptic number.

113204312320 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 113204312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148197734496).

113204312320 is an abundant number, since it is smaller than the sum of its proper divisors (183191156672).

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

113204312320 is a wasteful number, since it uses less digits than its factorization.

113204312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15914 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 113204312320 its reverse (23213402311), we get a palindrome (136417714631).

It can be divided in two parts, 113204 and 312320, that added together give a palindrome (425524).

The spelling of 113204312320 in words is "one hundred thirteen billion, two hundred four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 523 640 704 880 1046 1280 1408 1760 2092 2615 2816 3520 4184 5230 5753 7040 8368 10460 11506 14080 15373 16736 20920 23012 28765 30746 33472 41840 46024 57530 61492 66944 76865 83680 92048 115060 122984 133888 153730 167360 169103 184096 230120 245968 307460 334720 338206 368192 460240 491936 614920 669440 676412 736384 845515 920480 983872 1229840 1352824 1472768 1691030 1840960 1967744 2459680 2705648 3382060 3681920 3935488 4919360 5411296 6764120 7363840 8040079 9838720 10822592 13528240 16080158 19677440 21645184 27056480 32160316 40200395 43290368 54112960 64320632 80400790 88440869 108225920 128641264 160801580 176881738 216451840 257282528 321603160 353763476 442204345 514565056 643206320 707526952 884408690 1029130112 1286412640 1415053904 1768817380 2058260224 2572825280 2830107808 3537634760 5145650560 5660215616 7075269520 10291301120 11320431232 14150539040 22640862464 28301078080 56602156160 113204312320