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13231200000 = 2835537149
BaseRepresentation
bin11000101001010010…
…00001011100000000
31021011002211121020110
430110221001130000
5204044141400000
610024530311320
7645611226054
oct142451013400
937132747213
1013231200000
11567a738437
122693128540
13132b261235
148d734dc64
155268c0850
hex314a41700

13231200000 has 432 divisors, whose sum is σ = 45508024800. Its totient is φ = 3409920000.

The previous prime is 13231199987. The next prime is 13231200019. The reversal of 13231200000 is 213231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88799926 + ... + 88800074.

It is an arithmetic number, because the mean of its divisors is an integer number (105342650).

Almost surely, 213231200000 is an apocalyptic number.

13231200000 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 13231200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22754012400).

13231200000 is an abundant number, since it is smaller than the sum of its proper divisors (32276824800).

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

13231200000 is an frugal number, since it uses more digits than its factorization.

13231200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

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

Adding to 13231200000 its reverse (213231), we get a palindrome (13231413231).

The spelling of 13231200000 in words is "thirteen billion, two hundred thirty-one million, two hundred thousand".