10031004000 has 144 divisors (see below), whose sum is σ = 35600160960. Its totient is φ = 2674924800.

The previous prime is 10031003987. The next prime is 10031004017. The reversal of 10031004000 is 40013001.

10031004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103320 + ... + 175319.

It is an arithmetic number, because the mean of its divisors is an integer number (247223340).

Almost surely, 2^10031004000 is an apocalyptic number.

10031004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031004000 is an abundant number, since it is smaller than the sum of its proper divisors (25569156960).

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

10031004000 is a wasteful number, since it uses less digits than its factorization.

10031004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278670 (or 278649 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10031004000 its reverse (40013001), we get a palindrome (10071017001).

Subtracting from 10031004000 its reverse (40013001), we obtain a palindrome (9990990999).

The spelling of 10031004000 in words is "ten billion, thirty-one million, four thousand".