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132113412420 = 223511435978901
BaseRepresentation
bin111101100001010010…
…0101011000101000100
3110122000012200201102220
41323002210223011010
54131032013144140
6140405252532340
712354615322413
oct1730244530504
9418005621386
10132113412420
1151035639170
12217306210b0
13c5c59aa522
14657404747a
153683679bd0
hex1ec292b144

132113412420 has 192 divisors, whose sum is σ = 419935380480. Its totient is φ = 30752064000.

The previous prime is 132113412413. The next prime is 132113412433. The reversal of 132113412420 is 24214311231.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634970 + ... + 1713870.

It is an arithmetic number, because the mean of its divisors is an integer number (2187163440).

Almost surely, 2132113412420 is an apocalyptic number.

132113412420 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 132113412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209967690240).

132113412420 is an abundant number, since it is smaller than the sum of its proper divisors (287821968060).

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

132113412420 is a wasteful number, since it uses less digits than its factorization.

132113412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79026 (or 79024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132113412420 its reverse (24214311231), we get a palindrome (156327723651).

The spelling of 132113412420 in words is "one hundred thirty-two billion, one hundred thirteen million, four hundred twelve thousand, four hundred twenty".