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132133032022320 = 243257271136770769
BaseRepresentation
bin11110000010110010011110…
…011011111101000100110000
3122022211210110012002002001200
4132002302132123331010300
5114304331422144203240
61145005024340531200
736555203465560230
oct3602623633750460
9568753405062050
10132133032022320
113911333896a40a
12129a03250b0b00
135896125c07c14
14248b3b6a97cc0
15104213b6a6930
hex782c9e6fd130

132133032022320 has 480 divisors, whose sum is σ = 509390076948480. Its totient is φ = 30067953131520.

The previous prime is 132133032022309. The next prime is 132133032022391. The reversal of 132133032022320 is 23220230331231.

132133032022320 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 330 + 3 + 2 + 0 + 2 + 2 + 320 = 666.

It is a super-2 number, since 2×1321330320223202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867067896 + ... + 1867138664.

It is an arithmetic number, because the mean of its divisors is an integer number (1061229326976).

Almost surely, 2132133032022320 is an apocalyptic number.

132133032022320 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 132133032022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254695038474240).

132133032022320 is an abundant number, since it is smaller than the sum of its proper divisors (377257044926160).

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

132133032022320 is a wasteful number, since it uses less digits than its factorization.

132133032022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72433 (or 72424 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132133032022320 its reverse (23220230331231), we get a palindrome (155353262353551).

The spelling of 132133032022320 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, thirty-two million, twenty-two thousand, three hundred twenty".