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132232111030032 = 2431359107239140449
BaseRepresentation
bin11110000100001110110000…
…000000010111111100010000
3122100012021012011201011101220
4132010032300000113330100
5114312442330410430112
61145122332043525040
736565311660336066
oct3604166000277420
9570167164634356
10132232111030032
1139151361435362
12129b7576529780
1358a2585980cc0
1424920d5696036
1510449d9b1998c
hex7843b0017f10

132232111030032 has 320 divisors, whose sum is σ = 379190730240000. Its totient is φ = 39457321795584.

The previous prime is 132232111029989. The next prime is 132232111030223. The reversal of 132232111030032 is 230030111232231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132232111029984 and 132232111030011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941425344 + ... + 941565792.

It is an arithmetic number, because the mean of its divisors is an integer number (1184971032000).

Almost surely, 2132232111030032 is an apocalyptic number.

132232111030032 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 132232111030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189595365120000).

132232111030032 is an abundant number, since it is smaller than the sum of its proper divisors (246958619209968).

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

132232111030032 is a wasteful number, since it uses less digits than its factorization.

132232111030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140878 (or 140872 counting only the distinct ones).

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

Adding to 132232111030032 its reverse (230030111232231), we get a palindrome (362262222262263).

The spelling of 132232111030032 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, one hundred eleven million, thirty thousand, thirty-two".