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132220320320000 = 295411216932017
BaseRepresentation
bin11110000100000011110001…
…001110011000101000000000
3122100011010202110102000220202
4132010003301032120220000
5114312244204000220000
61145113102052024332
736564413540061143
oct3604036116305000
9570133673360822
10132220320320000
1139147360931400
12129b52259020a8
1358a1426ca70c3
1424916d779805a
15104454993add5
hex7840f1398a00

132220320320000 has 600 divisors, whose sum is σ = 363256066964868. Its totient is φ = 48027893760000.

The previous prime is 132220320319993. The next prime is 132220320320021. The reversal of 132220320320000 is 23023022231.

It can be written as a sum of positive squares in 10 ways, for example, as 3068550985984 + 129151769334016 = 1751728^2 + 11364496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 59 ways as a sum of consecutive naturals, for example, 65552958992 + ... + 65552961008.

Almost surely, 2132220320320000 is an apocalyptic number.

132220320320000 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 132220320320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181628033482434).

132220320320000 is an abundant number, since it is smaller than the sum of its proper divisors (231035746644868).

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

132220320320000 is an equidigital number, since it uses as much as digits as its factorization.

132220320320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132220320320000 its reverse (23023022231), we get a palindrome (132243343342231).

The spelling of 132220320320000 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred twenty million, three hundred twenty thousand".