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131031310200 = 233527127245653
BaseRepresentation
bin111101000001000010…
…0110001111101111000
3110112012210112020020220
41322002010301331320
54121323003411300
6140110035420040
712316035521430
oct1720204617570
9415183466226
10131031310200
115062a83880a
122148a154620
13c48275515b
1464b04472c0
15361d67bda0
hex1e82131f78

131031310200 has 192 divisors, whose sum is σ = 467882434560. Its totient is φ = 29714065920.

The previous prime is 131031310169. The next prime is 131031310213. The reversal of 131031310200 is 2013130131.

131031310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131031310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410574 + ... + 656226.

It is an arithmetic number, because the mean of its divisors is an integer number (2436887680).

Almost surely, 2131031310200 is an apocalyptic number.

131031310200 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 131031310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233941217280).

131031310200 is an abundant number, since it is smaller than the sum of its proper divisors (336851124360).

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

131031310200 is a wasteful number, since it uses less digits than its factorization.

131031310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245806 (or 245797 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131031310200 its reverse (2013130131), we get a palindrome (133044440331).

The spelling of 131031310200 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, two hundred".