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132030388800 = 2634523159557
BaseRepresentation
bin111101011110110011…
…1111101101001000000
3110121210102110200110000
41322331213331221000
54130344234420200
6140353125240000
712352556534142
oct1727547755100
9417712420400
10132030388800
1150aa2792302
1221708863000
13c5b172bb1b
146566dd4c92
15367b22a300
hex1ebd9fda40

132030388800 has 840 divisors, whose sum is σ = 510371262720. Its totient is φ = 33434726400.

The previous prime is 132030388771. The next prime is 132030388807. The reversal of 132030388800 is 8883030231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132030388807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 237038122 + ... + 237038678.

Almost surely, 2132030388800 is an apocalyptic number.

132030388800 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 132030388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255185631360).

132030388800 is an abundant number, since it is smaller than the sum of its proper divisors (378340873920).

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

132030388800 is a wasteful number, since it uses less digits than its factorization.

132030388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 132030388800 in words is "one hundred thirty-two billion, thirty million, three hundred eighty-eight thousand, eight hundred".