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132100010023122 = 232293371295957947
BaseRepresentation
bin11110000010010011101110…
…001011000001100011010010
3122022201122012211100201010100
4132002103232023001203102
5114303311310031214442
61144541523512513230
736552624252322131
oct3602235613014322
9568648184321110
10132100010023122
11391003328aa689
1212995a4a0ab816
135892c9272821b
14248996315b918
1510413575e084c
hex7824ee2c18d2

132100010023122 has 96 divisors (see below), whose sum is σ = 296992864396800. Its totient is φ = 42384786200064.

The previous prime is 132100010023097. The next prime is 132100010023133. The reversal of 132100010023122 is 221320010001231.

132100010023122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 132100010023095 and 132100010023104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2279640553 + ... + 2279698499.

It is an arithmetic number, because the mean of its divisors is an integer number (3093675670800).

Almost surely, 2132100010023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100010023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148496432198400).

132100010023122 is an abundant number, since it is smaller than the sum of its proper divisors (164892854373678).

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

132100010023122 is a wasteful number, since it uses less digits than its factorization.

132100010023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71280 (or 71277 counting only the distinct ones).

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

Adding to 132100010023122 its reverse (221320010001231), we get a palindrome (353420020024353).

The spelling of 132100010023122 in words is "one hundred thirty-two trillion, one hundred billion, ten million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 337 522 674 1011 2022 3033 6066 9773 12959 19546 25918 29319 38877 57947 58638 77754 87957 115894 116631 173841 175914 233262 347682 375811 521523 751622 1043046 1127433 1680463 2254866 3360926 3382299 4367183 5041389 6764598 8734366 10082778 13101549 15124167 19528139 26203098 30248334 39056278 39304647 58584417 78609294 117168834 126648307 175753251 253296614 351506502 379944921 566316031 750935173 759889842 1132632062 1139834763 1501870346 1698948093 2252805519 2279669526 3397896186 4505611038 5096844279 6758416557 10193688558 13516833114 21777120017 43554240034 65331360051 130662720102 195994080153 253065153301 391988160306 506130306602 759195459903 1518390919806 2277586379709 4555172759418 7338889445729 14677778891458 22016668337187 44033336674374 66050005011561 132100010023122