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132331332000 = 2535371792669
BaseRepresentation
bin111101100111110001…
…1111110000110100000
3110122120101202011220110
41323033203332012200
54132003310111000
6140443035411320
712363202522440
oct1731743760640
9418511664813
10132331332000
115113765039a
12217915b3b40
13c62bb9a01a
146594d72120
153697873850
hex1ecf8fe1a0

132331332000 has 384 divisors, whose sum is σ = 524598197760. Its totient is φ = 28467609600.

The previous prime is 132331331989. The next prime is 132331332013. The reversal of 132331332000 is 233133231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1381666 + ... + 1474334.

It is an arithmetic number, because the mean of its divisors is an integer number (1366141140).

Almost surely, 2132331332000 is an apocalyptic number.

132331332000 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 132331332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262299098880).

132331332000 is an abundant number, since it is smaller than the sum of its proper divisors (392266865760).

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

132331332000 is a wasteful number, since it uses less digits than its factorization.

132331332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92721 (or 92703 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132331332000 its reverse (233133231), we get a palindrome (132564465231).

The spelling of 132331332000 in words is "one hundred thirty-two billion, three hundred thirty-one million, three hundred thirty-two thousand".