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132304301324220 = 22352310924126313877
BaseRepresentation
bin11110000101010001111110…
…111000011111011110111100
3122100110011112020111002001110
4132011101332320133132330
5114320133202114333340
61145215431300242020
736603445631612064
oct3605217670373674
9570404466432043
10132304301324220
1139179a36a27913
1212a095629a0310
1358a931bb0c2cc
1424957c31403a4
15104681267b680
hex78547ee1f7bc

132304301324220 has 384 divisors, whose sum is σ = 393241536737280. Its totient is φ = 33169829806080.

The previous prime is 132304301324177. The next prime is 132304301324227. The reversal of 132304301324220 is 22423103403231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132304301324227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9534063922 + ... + 9534077798.

It is an arithmetic number, because the mean of its divisors is an integer number (1024066501920).

Almost surely, 2132304301324220 is an apocalyptic number.

132304301324220 is a gapful number since it is divisible by the number (10) 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 132304301324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196620768368640).

132304301324220 is an abundant number, since it is smaller than the sum of its proper divisors (260937235413060).

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

132304301324220 is a wasteful number, since it uses less digits than its factorization.

132304301324220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132304301324220 its reverse (22423103403231), we get a palindrome (154727404727451).

The spelling of 132304301324220 in words is "one hundred thirty-two trillion, three hundred four billion, three hundred one million, three hundred twenty-four thousand, two hundred twenty".