10024213220 has 72 divisors (see below), whose sum is σ = 24506851320. Its totient is φ = 3434188800.

The previous prime is 10024213219. The next prime is 10024213223. The reversal of 10024213220 is 2231242001.

It can be written as a sum of positive squares in 4 ways, for example, as 1011748864 + 9012464356 = 31808^2 + 94934^2 .

It is not an unprimeable number, because it can be changed into a prime (10024213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565786 + ... + 1572174.

It is an arithmetic number, because the mean of its divisors is an integer number (340372935).

Almost surely, 2^10024213220 is an apocalyptic number.

10024213220 is a gapful number since it is divisible by the number (10) 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 10024213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253425660).

10024213220 is an abundant number, since it is smaller than the sum of its proper divisors (14482638100).

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

10024213220 is a wasteful number, since it uses less digits than its factorization.

10024213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10024213220 its reverse (2231242001), we get a palindrome (12255455221).

The spelling of 10024213220 in words is "ten billion, twenty-four million, two hundred thirteen thousand, two hundred twenty".