10224213304005 has 80 divisors (see below), whose sum is σ = 18528337301760. Its totient is φ = 5393393413632.

The previous prime is 10224213304001. The next prime is 10224213304027. The reversal of 10224213304005 is 50040331242201.

10224213304005 is a `hidden beast` number, since 1 + 0 + 2 + 242 + 13 + 3 + 0 + 400 + 5 = 666.

It is not a de Polignac number, because 10224213304005 - 2² = 10224213304001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10224213304005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224213304001) 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 79 ways as a sum of consecutive naturals, for example, 34182541 + ... + 34480349.

It is an arithmetic number, because the mean of its divisors is an integer number (231604216272).

Almost surely, 2^{10224213304005} is an apocalyptic number.

10224213304005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10224213304005 is a deficient number, since it is larger than the sum of its proper divisors (8304123997755).

10224213304005 is a wasteful number, since it uses less digits than its factorization.

10224213304005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298752 (or 298743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10224213304005 its reverse (50040331242201), we get a palindrome (60264544546206).

The spelling of 10224213304005 in words is "ten trillion, two hundred twenty-four billion, two hundred thirteen million, three hundred four thousand, five".