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13320331200 = 2633521128031
BaseRepresentation
bin11000110011111010…
…00001111111000000
31021101022112221021000
430121331001333000
5204240001044300
610041432532000
7651042642561
oct143175017700
937338487230
1013320331200
115715a85a90
1226b8b51000
13134386a8a7
14905112168
1552e629c00
hex319f41fc0

13320331200 has 336 divisors, whose sum is σ = 52973752320. Its totient is φ = 3229056000.

The previous prime is 13320331169. The next prime is 13320331237. The reversal of 13320331200 is 213302331.

13320331200 is a `hidden beast` number, since 1 + 332 + 0 + 331 + 2 + 0 + 0 = 666.

13320331200 is digitally balanced in base 2, 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461185 + ... + 489215.

Almost surely, 213320331200 is an apocalyptic number.

13320331200 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 13320331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486876160).

13320331200 is an abundant number, since it is smaller than the sum of its proper divisors (39653421120).

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

13320331200 is a wasteful number, since it uses less digits than its factorization.

13320331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28073 (or 28052 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320331200 its reverse (213302331), we get a palindrome (13533633531).

The spelling of 13320331200 in words is "thirteen billion, three hundred twenty million, three hundred thirty-one thousand, two hundred".