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131012200021032 = 233211919917982329
BaseRepresentation
bin11101110010011110100111…
…101001001011110000101000
3122011212122101110220222212200
4131302132213221023300220
5114133000441201133112
61142350101313140200
736411214310010111
oct3562364751136050
9564778343828780
10131012200021032
1138820a64481530
121283b06085a660
135814522279285
14244d04aa0d208
151022ddbde0cdc
hex7727a7a4bc28

131012200021032 has 96 divisors (see below), whose sum is σ = 387123600240000. Its totient is φ = 39696348706560.

The previous prime is 131012200020997. The next prime is 131012200021037. The reversal of 131012200021032 is 230120002210131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131012200020996 and 131012200021014.

It is not an unprimeable number, because it can be changed into a prime (131012200021037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705557 + ... + 16276772.

It is an arithmetic number, because the mean of its divisors is an integer number (4032537502500).

Almost surely, 2131012200021032 is an apocalyptic number.

131012200021032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012200021032 is an abundant number, since it is smaller than the sum of its proper divisors (256111400218968).

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

131012200021032 is a wasteful number, since it uses less digits than its factorization.

131012200021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991551 (or 17991544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131012200021032 its reverse (230120002210131), we get a palindrome (361132202231163).

The spelling of 131012200021032 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 9199 18398 27597 36796 55194 73592 82791 101189 110388 165582 202378 220776 303567 331164 404756 607134 662328 809512 910701 1214268 1821402 2428536 3642804 7285608 17982329 35964658 53946987 71929316 107893974 143858632 161840961 197805619 215787948 323681922 395611238 431575896 593416857 647363844 791222476 1186833714 1294727688 1582444952 1780250571 2373667428 3560501142 4747334856 7121002284 14242004568 165419444471 330838888942 496258333413 661677777884 992516666826 1323355555768 1488775000239 1819613889181 1985033333652 2977550000478 3639227778362 3970066667304 5458841667543 5955100000956 7278455556724 10917683335086 11910200001912 14556911113448 16376525002629 21835366670172 32753050005258 43670733340344 65506100010516 131012200021032