10004410031 has 16 divisors (see below), whose sum is σ = 12513166848. Its totient is φ = 7770559200.

The previous prime is 10004410007. The next prime is 10004410069. The reversal of 10004410031 is 13001440001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004410031 is a prime.

It is a super-2 number, since 2×10004410031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10004409988 and 10004410015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004410231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184940 + ... + 232833.

It is an arithmetic number, because the mean of its divisors is an integer number (782072928).

Almost surely, 2^10004410031 is an apocalyptic number.

10004410031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10004410031 is a deficient number, since it is larger than the sum of its proper divisors (2508756817).

10004410031 is a wasteful number, since it uses less digits than its factorization.

10004410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418102.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10004410031 its reverse (13001440001), we get a palindrome (23005850032).

The spelling of 10004410031 in words is "ten billion, four million, four hundred ten thousand, thirty-one".