10220304321 has 12 divisors (see below), whose sum is σ = 14775177300. Its totient is φ = 6807759840.

The previous prime is 10220304319. The next prime is 10220304329. The reversal of 10220304321 is 12340302201.

10220304321 is a `hidden beast` number, since 10 + 220 + 3 + 0 + 432 + 1 = 666.

10220304321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8696495025 + 1523809296 = 93255^2 + 39036^2 .

It is not a de Polignac number, because 10220304321 - 2¹ = 10220304319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220304294 and 10220304303.

It is not an unprimeable number, because it can be changed into a prime (10220304329) 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 11 ways as a sum of consecutive naturals, for example, 470146 + ... + 491403.

It is an arithmetic number, because the mean of its divisors is an integer number (1231264775).

Almost surely, 2^10220304321 is an apocalyptic number.

It is an amenable number.

10220304321 is a deficient number, since it is larger than the sum of its proper divisors (4554872979).

10220304321 is a wasteful number, since it uses less digits than its factorization.

10220304321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962736 (or 962733 counting only the distinct ones).

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

Adding to 10220304321 its reverse (12340302201), we get a palindrome (22560606522).

The spelling of 10220304321 in words is "ten billion, two hundred twenty million, three hundred four thousand, three hundred twenty-one".