10022400003 has 64 divisors (see below), whose sum is σ = 17601638400. Its totient is φ = 4914380160.

The previous prime is 10022400001. The next prime is 10022400007. The reversal of 10022400003 is 30000422001.

10022400003 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022400003 - 2¹ = 10022400001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238053 + ... + 1246121.

It is an arithmetic number, because the mean of its divisors is an integer number (275025600).

Almost surely, 2^10022400003 is an apocalyptic number.

10022400003 is a deficient number, since it is larger than the sum of its proper divisors (7579238397).

10022400003 is a wasteful number, since it uses less digits than its factorization.

10022400003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10022400003 its reverse (30000422001), we get a palindrome (40022822004).

The spelling of 10022400003 in words is "ten billion, twenty-two million, four hundred thousand, three".