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112321616640 = 2835171720613
BaseRepresentation
bin110100010011011100…
…0111101101100000000
3101201220212221022200120
41220212320331230000
53320013313213030
6123333322020240
711054301663042
oct1504670755400
9351825838616
10112321616640
11436a9696052
1219928347680
13a7904a026c
14561767ba92
152dc5d39010
hex1a26e3db00

112321616640 has 144 divisors (see below), whose sum is σ = 379828981728. Its totient is φ = 28190507008.

The previous prime is 112321616621. The next prime is 112321616663. The reversal of 112321616640 is 46616123211.

It is a super-2 number, since 2×1123216166402 (a number of 23 digits) contains 22 as substring.

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, 795027 + ... + 925586.

It is an arithmetic number, because the mean of its divisors is an integer number (2637701262).

Almost surely, 2112321616640 is an apocalyptic number.

112321616640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112321616640 is an abundant number, since it is smaller than the sum of its proper divisors (267507365088).

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

112321616640 is a wasteful number, since it uses less digits than its factorization.

112321616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720654 (or 1720640 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 112321616640 its reverse (46616123211), we get a palindrome (158937739851).

The spelling of 112321616640 in words is "one hundred twelve billion, three hundred twenty-one million, six hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32640 65280 1720613 3441226 5161839 6882452 8603065 10323678 13764904 17206130 20647356 25809195 27529808 29250421 34412260 41294712 51618390 55059616 58500842 68824520 82589424 87751263 103236780 110119232 117001684 137649040 146252105 165178848 175502526 206473560 220238464 234003368 275298080 292504210 330357696 351005052 412947120 438756315 440476928 468006736 550596160 585008420 660715392 702010104 825894240 877512630 936013472 1101192320 1170016840 1321430784 1404020208 1651788480 1755025260 1872026944 2202384640 2340033680 2808040416 3303576960 3510050520 3744053888 4680067360 5616080832 6607153920 7020101040 7488107776 9360134720 11232161664 14040202080 18720269440 22464323328 28080404160 37440538880 56160808320 112321616640