10220413320 has 96 divisors (see below), whose sum is σ = 35771463000. Its totient is φ = 2515792896.

The previous prime is 10220413303. The next prime is 10220413327. The reversal of 10220413320 is 2331402201.

10220413320 is a `hidden beast` number, since 1 + 0 + 220 + 413 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7733795364 + 2486617956 = 87942^2 + 49866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220413293 and 10220413302.

It is not an unprimeable number, because it can be changed into a prime (10220413327) 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 23 ways as a sum of consecutive naturals, for example, 1087245 + ... + 1096604.

Almost surely, 2^10220413320 is an apocalyptic number.

10220413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220413320 is an abundant number, since it is smaller than the sum of its proper divisors (25551049680).

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

10220413320 is a wasteful number, since it uses less digits than its factorization.

10220413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183879 (or 2183872 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10220413320 its reverse (2331402201), we get a palindrome (12551815521).

The spelling of 10220413320 in words is "ten billion, two hundred twenty million, four hundred thirteen thousand, three hundred twenty".