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231124992000 = 21535372687
BaseRepresentation
bin1101011101000000011…
…1111000000000000000
3211002120111110002202220
43113100013320000000
512241320444221000
6254102150411040
722461331005630
oct3272007700000
9732514402686
10231124992000
118a02403a391
1238963360a80
1318a447a55c6
14b287ad26c0
15602ac1e1a0
hex35d01f8000

231124992000 has 512 divisors, whose sum is σ = 879381135360. Its totient is φ = 52808908800.

The previous prime is 231124991963. The next prime is 231124992001. The reversal of 231124992000 is 299421132.

231124992000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231124992001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 86014657 + ... + 86017343.

It is an arithmetic number, because the mean of its divisors is an integer number (1717541280).

Almost surely, 2231124992000 is an apocalyptic number.

231124992000 is a gapful number since it is divisible by the number (20) 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 231124992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439690567680).

231124992000 is an abundant number, since it is smaller than the sum of its proper divisors (648256143360).

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

231124992000 is an frugal number, since it uses more digits than its factorization.

231124992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 231124992000 in words is "two hundred thirty-one billion, one hundred twenty-four million, nine hundred ninety-two thousand".