203112310200 has 96 divisors (see below), whose sum is σ = 630344060160. Its totient is φ = 54103420800.

The previous prime is 203112310199. The next prime is 203112310213. The reversal of 203112310200 is 2013211302.

203112310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203112310200² (a number of 23 digits) contains 22 as substring.

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 203112310200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357585 + ... + 730815.

It is an arithmetic number, because the mean of its divisors is an integer number (6566083960).

Almost surely, 2^203112310200 is an apocalyptic number.

203112310200 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 203112310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315172030080).

203112310200 is an abundant number, since it is smaller than the sum of its proper divisors (427231749960).

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

203112310200 is a wasteful number, since it uses less digits than its factorization.

203112310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374157 (or 374148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203112310200 its reverse (2013211302), we get a palindrome (205125521502).

The spelling of 203112310200 in words is "two hundred three billion, one hundred twelve million, three hundred ten thousand, two hundred".