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12313041300 = 223252737101523
BaseRepresentation
bin10110111011110101…
…00001100110010100
31011210010011022021200
423131322201212110
5200204114310200
65353451112500
7614062060410
oct133572414624
934703138250
1012313041300
11524943319a
122477742730
131212c7a571
1484b427d40
154c0ea8800
hex2ddea1994

12313041300 has 432 divisors, whose sum is σ = 45836149632. Its totient is φ = 2706048000.

The previous prime is 12313041281. The next prime is 12313041319. The reversal of 12313041300 is 314031321.

12313041300 is a `hidden beast` number, since 1 + 231 + 304 + 130 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12313041281) and next prime (12313041319).

It is a super-2 number, since 2×123130413002 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23542839 + ... + 23543361.

Almost surely, 212313041300 is an apocalyptic number.

12313041300 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 12313041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22918074816).

12313041300 is an abundant number, since it is smaller than the sum of its proper divisors (33523108332).

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

12313041300 is a wasteful number, since it uses less digits than its factorization.

12313041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313041300 its reverse (314031321), we get a palindrome (12627072621).

The spelling of 12313041300 in words is "twelve billion, three hundred thirteen million, forty-one thousand, three hundred".