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132323130000000 = 27325710114557
BaseRepresentation
bin11110000101100011100001…
…001010001100001010000000
3122100111222010102221220112200
4132011203201022030022000
5114320440232240000000
61145232223504153200
736605013341662422
oct3605434112141200
9570458112856480
10132323130000000
1139186a19256695
1212a11138608800
1358ab02c922a94
14249668ba3c812
151047065673500
hex7858e128c280

132323130000000 has 768 divisors, whose sum is σ = 480711322110240. Its totient is φ = 34934400000000.

The previous prime is 132323129999999. The next prime is 132323130000011. The reversal of 132323130000000 is 31323231.

132323130000000 is a `hidden beast` number, since 132 + 3 + 231 + 300 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 132321953784384 + 1176215616 = 11503128^2 + 34296^2 .

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9089992722 + ... + 9090007278.

Almost surely, 2132323130000000 is an apocalyptic number.

132323130000000 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 132323130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240355661055120).

132323130000000 is an abundant number, since it is smaller than the sum of its proper divisors (348388192110240).

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

132323130000000 is an frugal number, since it uses more digits than its factorization.

132323130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713 (or 14668 counting only the distinct ones).

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

Adding to 132323130000000 its reverse (31323231), we get a palindrome (132323161323231).

The spelling of 132323130000000 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred thirty million", and thus it is an aban number.