10311940000 has 60 divisors (see below), whose sum is σ = 25368968394. Its totient is φ = 4124768000.

The previous prime is 10311939959. The next prime is 10311940007. The reversal of 10311940000 is 4911301.

It is a happy number.

10311940000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1008951696 + 9302988304 = 31764^2 + 96452^2 .

It is a super-2 number, since 2×10311940000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10311940000.

It is not an unprimeable number, because it can be changed into a prime (10311940007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 237799 + ... + 277798.

Almost surely, 2^10311940000 is an apocalyptic number.

10311940000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311940000 is an abundant number, since it is smaller than the sum of its proper divisors (15057028394).

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

10311940000 is an frugal number, since it uses more digits than its factorization.

10311940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515627 (or 515604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 10311940000 in words is "ten billion, three hundred eleven million, nine hundred forty thousand".