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12313013110200 = 233352111667124349
BaseRepresentation
bin1011001100101101100011…
…0001011100010110111000
31121121010001001110121211000
42303023120301130112320
53103214022324011300
642104304203205000
72410404641364555
oct263133061342670
947533031417730
1012313013110200
113a17a129a0430
12146a417216760
136b415c5305aa
14307d4b0dda2c
15165452c70c00
hexb32d8c5c5b8

12313013110200 has 384 divisors, whose sum is σ = 46295206560000. Its totient is φ = 2983158259200.

The previous prime is 12313013110147. The next prime is 12313013110219. The reversal of 12313013110200 is 201131031321.

12313013110200 is a `hidden beast` number, since 1 + 2 + 31 + 301 + 311 + 0 + 20 + 0 = 666.

12313013110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123130131102002 (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 98957626 + ... + 99081974.

It is an arithmetic number, because the mean of its divisors is an integer number (120560433750).

Almost surely, 212313013110200 is an apocalyptic number.

12313013110200 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 12313013110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23147603280000).

12313013110200 is an abundant number, since it is smaller than the sum of its proper divisors (33982193449800).

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

12313013110200 is a wasteful number, since it uses less digits than its factorization.

12313013110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126052 (or 126037 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12313013110200 its reverse (201131031321), we get a palindrome (12514144141521).

The spelling of 12313013110200 in words is "twelve trillion, three hundred thirteen billion, thirteen million, one hundred ten thousand, two hundred".