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132122223213132 = 22322961479516801
BaseRepresentation
bin11110000010101000011010…
…001011100111101001001100
3122022210202112220101200022110
4132002220122023213221030
5114304142303120310012
61145000040022344020
736554341600322055
oct3602503213475114
9568722486350273
10132122223213132
11391097a1648059
121299a20928b010
1358950c27a2039
14248aa6d35572c
151041c077d173c
hex782a1a2e7a4c

132122223213132 has 24 divisors (see below), whose sum is σ = 308298614610672. Its totient is φ = 44038822912000.

The previous prime is 132122223213119. The next prime is 132122223213139. The reversal of 132122223213132 is 231312322221231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132122223213132.

It is not an unprimeable number, because it can be changed into a prime (132122223213139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239482869 + ... + 240033932.

It is an arithmetic number, because the mean of its divisors is an integer number (12845775608778).

Almost surely, 2132122223213132 is an apocalyptic number.

132122223213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122223213132 is an abundant number, since it is smaller than the sum of its proper divisors (176176391397540).

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

132122223213132 is a wasteful number, since it uses less digits than its factorization.

132122223213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479539769 (or 479539767 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 132122223213132 its reverse (231312322221231), we get a palindrome (363434545434363).

The spelling of 132122223213132 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 22961 45922 68883 91844 137766 275532 479516801 959033602 1438550403 1918067204 2877100806 5754201612 11010185267761 22020370535522 33030555803283 44040741071044 66061111606566 132122223213132