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132131031322200 = 23352234319939823
BaseRepresentation
bin11110000010110000100111…
…001011111000111001011000
3122022211121021202101222110020
4132002300213023320321120
5114304313323004302300
61145004054030550440
736555103063111251
oct3602604713707130
9568747252358406
10132131031322200
1139112501594839
121299ba67068420
135895b97576cb1
14248b267099b28
151042070c068a0
hex782c272f8e58

132131031322200 has 96 divisors (see below), whose sum is σ = 409608381004800. Its totient is φ = 35234753823360.

The previous prime is 132131031322141. The next prime is 132131031322229. The reversal of 132131031322200 is 2223130131231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140121489 + ... + 141061311.

It is an arithmetic number, because the mean of its divisors is an integer number (4266753968800).

Almost surely, 2132131031322200 is an apocalyptic number.

132131031322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131031322200 is an abundant number, since it is smaller than the sum of its proper divisors (277477349682600).

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

132131031322200 is a wasteful number, since it uses less digits than its factorization.

132131031322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174161 (or 1174152 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132131031322200 its reverse (2223130131231), we get a palindrome (134354161453431).

The spelling of 132131031322200 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, thirty-one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 234319 468638 702957 937276 939823 1171595 1405914 1874552 1879646 2343190 2811828 2819469 3514785 3759292 4686380 4699115 5623656 5638938 5857975 7029570 7518584 9372760 9398230 11277876 11715950 14059140 14097345 17573925 18796460 22555752 23431900 23495575 28118280 28194690 35147850 37592920 46863800 46991150 56389380 70295700 70486725 93982300 112778760 140591400 140973450 187964600 281946900 563893800 220218385537 440436771074 660655156611 880873542148 1101091927685 1321310313222 1761747084296 2202183855370 2642620626444 3303275783055 4404367710740 5285241252888 5505459638425 6606551566110 8808735421480 11010919276850 13213103132220 16516378915275 22021838553700 26426206264440 33032757830550 44043677107400 66065515661100 132131031322200