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132132310200 = 2332521119134939
BaseRepresentation
bin111101100001110110…
…0110000110010111000
3110122001112020211022200
41323003230300302320
54131101332411300
6140411205550200
712355235051112
oct1730354606270
9418045224280
10132132310200
1151045276370
1221736a15360
13c5c9896047
1465767663b2
15368515e200
hex1ec3b30cb8

132132310200 has 288 divisors, whose sum is σ = 486633139200. Its totient is φ = 31863456000.

The previous prime is 132132310199. The next prime is 132132310237. The reversal of 132132310200 is 2013231231.

132132310200 is a `hidden beast` number, since 1 + 321 + 32 + 310 + 2 + 0 + 0 = 666.

132132310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3764331 + ... + 3799269.

It is an arithmetic number, because the mean of its divisors is an integer number (1689698400).

Almost surely, 2132132310200 is an apocalyptic number.

132132310200 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 132132310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243316569600).

132132310200 is an abundant number, since it is smaller than the sum of its proper divisors (354500829000).

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

132132310200 is a wasteful number, since it uses less digits than its factorization.

132132310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35163 (or 35151 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132132310200 its reverse (2013231231), we get a palindrome (134145541431).

The spelling of 132132310200 in words is "one hundred thirty-two billion, one hundred thirty-two million, three hundred ten thousand, two hundred".