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132320563200 = 212345274353
BaseRepresentation
bin111101100111011101…
…0111001000000000000
3110122112122111001220000
41323032322321000000
54131443031010300
6140442012520000
712363012141510
oct1731672710000
9418478431800
10132320563200
1151131565661
1221789a80000
13c629899557
14659376b840
153696947c00
hex1eceeb9000

132320563200 has 1560 divisors, whose sum is σ = 584010174528. Its totient is φ = 28983951360.

The previous prime is 132320563183. The next prime is 132320563223. The reversal of 132320563200 is 2365023231.

132320563200 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 20 + 5 + 632 + 0 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 2496614374 + ... + 2496614426.

Almost surely, 2132320563200 is an apocalyptic number.

132320563200 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 132320563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292005087264).

132320563200 is an abundant number, since it is smaller than the sum of its proper divisors (451689611328).

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

132320563200 is an equidigital number, since it uses as much as digits as its factorization.

132320563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 132320563200 its reverse (2365023231), we get a palindrome (134685586431).

The spelling of 132320563200 in words is "one hundred thirty-two billion, three hundred twenty million, five hundred sixty-three thousand, two hundred".