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132122322103332 = 2231117615471764559
BaseRepresentation
bin11110000010101000100000…
…000100110110110000100100
3122022210202210210110211011110
4132002220200010312300210
5114304143003424301312
61145000053514105020
736554344211012511
oct3602504004666044
9568722723424143
10132122322103332
11391098424507a0
121299a23641b170
13589510a117652
14248aa7c538308
151041c1131743c
hex782a20136c24

132122322103332 has 192 divisors, whose sum is σ = 362593872506880. Its totient is φ = 36996428851200.

The previous prime is 132122322103307. The next prime is 132122322103391. The reversal of 132122322103332 is 233301223221231.

It is a super-2 number, since 2×1321223221033322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132122322103332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73993269 + ... + 75757827.

It is an arithmetic number, because the mean of its divisors is an integer number (1888509752640).

Almost surely, 2132122322103332 is an apocalyptic number.

132122322103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122322103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181296936253440).

132122322103332 is an abundant number, since it is smaller than the sum of its proper divisors (230471550403548).

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

132122322103332 is a wasteful number, since it uses less digits than its factorization.

132122322103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765202 (or 1765200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132122322103332 its reverse (233301223221231), we get a palindrome (365423545324563).

The spelling of 132122322103332 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred three thousand, three hundred thirty-two".