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12313200000 = 2735531331
BaseRepresentation
bin10110111011110110…
…01000010110000000
31011210010110100222110
423131323020112000
5200204134400000
65353454335320
7614063321163
oct133573102600
934703410873
1012313200000
115249531452
1224777ba540
13121300487a
1484b469ada
154c0eda850
hex2ddec8580

12313200000 has 384 divisors, whose sum is σ = 42327290880. Its totient is φ = 3168000000.

The previous prime is 12313199999. The next prime is 12313200001. The reversal of 12313200000 is 231321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12313199999) and next prime (12313200001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×123132000002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37199835 + ... + 37200165.

It is an arithmetic number, because the mean of its divisors is an integer number (110227320).

Almost surely, 212313200000 is an apocalyptic number.

12313200000 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 12313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163645440).

12313200000 is an abundant number, since it is smaller than the sum of its proper divisors (30014090880).

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

12313200000 is an frugal number, since it uses more digits than its factorization.

12313200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 372 counting only the distinct ones).

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

Adding to 12313200000 its reverse (231321), we get a palindrome (12313431321).

The spelling of 12313200000 in words is "twelve billion, three hundred thirteen million, two hundred thousand".