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132313422132 = 223323376721487
BaseRepresentation
bin111101100111001111…
…1101001100100110100
3110122112011001021012000
41323032133221210310
54131434214002012
6140441155455300
712362564350203
oct1731637514464
9418464037160
10132313422132
1151128528451
12217875b7530
13c628269078
14659282d23a
153695ed6ddc
hex1ece7e9934

132313422132 has 192 divisors, whose sum is σ = 373127946240. Its totient is φ = 40432182912.

The previous prime is 132313422119. The next prime is 132313422161. The reversal of 132313422132 is 231224313231.

132313422132 is a `hidden beast` number, since 1 + 3 + 231 + 3 + 422 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 132313422096 and 132313422105.

It is a congruent number.

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, 6147093 + ... + 6168579.

It is an arithmetic number, because the mean of its divisors is an integer number (1943374720).

Almost surely, 2132313422132 is an apocalyptic number.

132313422132 is a gapful number since it is divisible by the number (12) 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 132313422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186563973120).

132313422132 is an abundant number, since it is smaller than the sum of its proper divisors (240814524108).

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

132313422132 is a wasteful number, since it uses less digits than its factorization.

132313422132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21627 (or 21619 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 132313422132 its reverse (231224313231), we get a palindrome (363537735363).

The spelling of 132313422132 in words is "one hundred thirty-two billion, three hundred thirteen million, four hundred twenty-two thousand, one hundred thirty-two".