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132300011200 = 26527172330211
BaseRepresentation
bin111101100110110110…
…0011111011011000000
3110122111012210220211211
41323031230133123000
54131422300324300
6140440000215504
712362342353240
oct1731554373300
9418435726754
10132300011200
11511209a8635
122178300a594
13c625551ac6
146590b3bb20
153694c384ba
hex1ecdb1f6c0

132300011200 has 336 divisors, whose sum is σ = 411072689664. Its totient is φ = 40834252800.

The previous prime is 132300011191. The next prime is 132300011203. The reversal of 132300011200 is 2110003231.

It is not an unprimeable number, because it can be changed into a prime (132300011203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4364095 + ... + 4394305.

It is an arithmetic number, because the mean of its divisors is an integer number (1223430624).

Almost surely, 2132300011200 is an apocalyptic number.

132300011200 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 132300011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205536344832).

132300011200 is an abundant number, since it is smaller than the sum of its proper divisors (278772678464).

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

132300011200 is a wasteful number, since it uses less digits than its factorization.

132300011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30280 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132300011200 its reverse (2110003231), we get a palindrome (134410014431).

The spelling of 132300011200 in words is "one hundred thirty-two billion, three hundred million, eleven thousand, two hundred".