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132323130000 = 24325410114557
BaseRepresentation
bin111101100111100010…
…0101011101010010000
3110122112211022110212200
41323033010223222100
54131444210130000
6140442143523200
712363043022055
oct1731704535220
9418484273780
10132323130000
1151132a59086
122178a8b9500
13c62a287979
146593c3902c
153696ca3500
hex1ecf12ba90

132323130000 has 300 divisors, whose sum is σ = 467366916588. Its totient is φ = 34934400000.

The previous prime is 132323129989. The next prime is 132323130161. The reversal of 132323130000 is 31323231.

132323130000 is a `hidden beast` number, since 132 + 3 + 231 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 89080759296 + 43242370704 = 298464^2 + 207948^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9082722 + ... + 9097278.

Almost surely, 2132323130000 is an apocalyptic number.

132323130000 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 132323130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233683458294).

132323130000 is an abundant number, since it is smaller than the sum of its proper divisors (335043786588).

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

132323130000 is a wasteful number, since it uses less digits than its factorization.

132323130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692 (or 14668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132323130000 its reverse (31323231), we get a palindrome (132354453231).

The spelling of 132323130000 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred thirty thousand".