10220413032 has 128 divisors (see below), whose sum is σ = 30313958400. Its totient is φ = 3182832576.

The previous prime is 10220413019. The next prime is 10220413037. The reversal of 10220413032 is 23031402201.

10220413032 is a `hidden beast` number, since 1 + 0 + 220 + 413 + 0 + 32 = 666.

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 = 10220412996 and 10220413014.

It is not an unprimeable number, because it can be changed into a prime (10220413037) 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 31 ways as a sum of consecutive naturals, for example, 189703 + ... + 237545.

It is an arithmetic number, because the mean of its divisors is an integer number (236827800).

Almost surely, 2^10220413032 is an apocalyptic number.

10220413032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156979200).

10220413032 is an abundant number, since it is smaller than the sum of its proper divisors (20093545368).

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

10220413032 is a wasteful number, since it uses less digits than its factorization.

10220413032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47924 (or 47914 counting only the distinct ones).

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

Adding to 10220413032 its reverse (23031402201), we get a palindrome (33251815233).

The spelling of 10220413032 in words is "ten billion, two hundred twenty million, four hundred thirteen thousand, thirty-two".