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112300040431332 = 223313173462345571
BaseRepresentation
bin11001100010001011100100…
…000001001010011011100100
3112201121210000220101210012000
4121202023210001022123210
5104204410440322300312
61034501532032325300
732440260455563005
oct3142134401123344
9481553026353160
10112300040431332
11328671a81929a6
12107186003a3830
134a87b04b4c3a0
141da34cb0591ac
15ceb2ad6d8adc
hex6622e404a6e4

112300040431332 has 96 divisors (see below), whose sum is σ = 315356667749760. Its totient is φ = 34354125233280.

The previous prime is 112300040431291. The next prime is 112300040431333. The reversal of 112300040431332 is 233134040003211.

It is a happy number.

112300040431332 is a `hidden beast` number, since 1 + 1 + 2 + 300 + 0 + 40 + 4 + 313 + 3 + 2 = 666.

It is a super-2 number, since 2×1123000404313322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112300040431296 and 112300040431305.

It is not an unprimeable number, because it can be changed into a prime (112300040431333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230929894 + ... + 231415677.

It is an arithmetic number, because the mean of its divisors is an integer number (3284965289060).

Almost surely, 2112300040431332 is an apocalyptic number.

112300040431332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112300040431332 is an abundant number, since it is smaller than the sum of its proper divisors (203056627318428).

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

112300040431332 is a wasteful number, since it uses less digits than its factorization.

112300040431332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462345770 (or 462345762 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 112300040431332 its reverse (233134040003211), we get a palindrome (345434080434543).

The spelling of 112300040431332 in words is "one hundred twelve trillion, three hundred billion, forty million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 173 234 346 351 468 519 692 702 1038 1404 1557 2076 2249 3114 4498 4671 6228 6747 8996 9342 13494 18684 20241 26988 40482 60723 80964 121446 242892 462345571 924691142 1387036713 1849382284 2774073426 4161110139 5548146852 6010492423 8322220278 12020984846 12483330417 16644440556 18031477269 24041969692 24966660834 36062954538 49933321668 54094431807 72125909076 79985783783 108188863614 159971567566 162283295421 216377727228 239957351349 319943135132 324566590842 479914702698 649133181684 719872054047 959829405396 1039815189179 1439744108094 2079630378358 2159616162141 2879488216188 3119445567537 4159260756716 4319232324282 6238891135074 8638464648564 9358336702611 12477782270148 18716673405222 28075010107833 37433346810444 56150020215666 112300040431332