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13332000000 = 2835611101
BaseRepresentation
bin11000110101010011…
…00010110100000000
31021102010111202211210
430122221202310000
5204300443000000
610042531010120
7651244062444
oct143251426400
937363452753
1013332000000
115721625a20
122700a39940
1313460c4bc7
149068ac824
15530682350
hex31aa62d00

13332000000 has 504 divisors, whose sum is σ = 48863749536. Its totient is φ = 3200000000.

The previous prime is 13331999987. The next prime is 13332000029. The reversal of 13332000000 is 23331.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13332000000.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 131999950 + ... + 132000050.

It is an arithmetic number, because the mean of its divisors is an integer number (96951884).

Almost surely, 213332000000 is an apocalyptic number.

13332000000 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 13332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431874768).

13332000000 is an abundant number, since it is smaller than the sum of its proper divisors (35531749536).

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

13332000000 is an frugal number, since it uses more digits than its factorization.

13332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13332000000 its reverse (23331), we get a palindrome (13332023331).

The spelling of 13332000000 in words is "thirteen billion, three hundred thirty-two million", and thus it is an aban number.