10032322000 has 80 divisors (see below), whose sum is σ = 24508712592. Its totient is φ = 3971481600.

The previous prime is 10032321931. The next prime is 10032322007. The reversal of 10032322000 is 22323001.

It is a happy number.

10032322000 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 8 ways, for example, as 2669995584 + 7362326416 = 51672^2 + 85804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032322007) 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 15 ways as a sum of consecutive naturals, for example, 168144 + ... + 219856.

Almost surely, 2^10032322000 is an apocalyptic number.

10032322000 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 10032322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254356296).

10032322000 is an abundant number, since it is smaller than the sum of its proper divisors (14476390592).

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

10032322000 is an equidigital number, since it uses as much as digits as its factorization.

10032322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51833 (or 51817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10032322000 its reverse (22323001), we get a palindrome (10054645001).

The spelling of 10032322000 in words is "ten billion, thirty-two million, three hundred twenty-two thousand".