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132114223101024 = 2533269568438589
BaseRepresentation
bin11110000010100000111101…
…010101100111010001100000
3122022202222220100202212122000
4132002200331111213101200
5114304024412103213044
61144552234120244000
736553636415434053
oct3602407525472140
9568688810685560
10132114223101024
113910636680345a
1212998756010600
13589441921cba8
14248a510a5ca9a
1510418da2b2d69
hex78283d567460

132114223101024 has 96 divisors (see below), whose sum is σ = 386765616636000. Its totient is φ = 43874363976192.

The previous prime is 132114223101017. The next prime is 132114223101071. The reversal of 132114223101024 is 420101322411231.

132114223101024 is a `hidden beast` number, since 1 + 3 + 211 + 422 + 3 + 1 + 0 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 283986879 + ... + 284451710.

It is an arithmetic number, because the mean of its divisors is an integer number (4028808506625).

Almost surely, 2132114223101024 is an apocalyptic number.

It is an amenable number.

132114223101024 is an abundant number, since it is smaller than the sum of its proper divisors (254651393534976).

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

132114223101024 is a wasteful number, since it uses less digits than its factorization.

132114223101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568438877 (or 568438863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132114223101024 its reverse (420101322411231), we get a palindrome (552215545512255).

The spelling of 132114223101024 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred twenty-three million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 269 288 432 538 807 864 1076 1614 2152 2421 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 25824 29052 38736 58104 77472 116208 232416 568438589 1136877178 1705315767 2273754356 3410631534 4547508712 5115947301 6821263068 9095017424 10231894602 13642526136 15347841903 18190034848 20463789204 27285052272 30695683806 40927578408 54570104544 61391367612 81855156816 122782735224 152909980441 163710313632 245565470448 305819960882 458729941323 491130940896 611639921764 917459882646 1223279843528 1376189823969 1834919765292 2446559687056 2752379647938 3669839530584 4128569471907 4893119374112 5504759295876 7339679061168 8257138943814 11009518591752 14679358122336 16514277887628 22019037183504 33028555775256 44038074367008 66057111550512 132114223101024