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13200132000 = 253531129091
BaseRepresentation
bin11000100101100101…
…00000011110100000
31021001221101011221210
430102302200132200
5204013213211000
610021500350120
7645053161566
oct142262403640
937057334853
1013200132000
115664148600
122684845340
1313249a40c3
148d3183a36
15523cd5350
hex312ca07a0

13200132000 has 288 divisors, whose sum is σ = 47537485632. Its totient is φ = 3199680000.

The previous prime is 13200131983. The next prime is 13200132019. The reversal of 13200132000 is 23100231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447455 + ... + 1456545.

It is an arithmetic number, because the mean of its divisors is an integer number (165060714).

Almost surely, 213200132000 is an apocalyptic number.

13200132000 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 13200132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768742816).

13200132000 is an abundant number, since it is smaller than the sum of its proper divisors (34337353632).

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

13200132000 is a wasteful number, since it uses less digits than its factorization.

13200132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13200132000 its reverse (23100231), we get a palindrome (13223232231).

The spelling of 13200132000 in words is "thirteen billion, two hundred million, one hundred thirty-two thousand".