10032002000 has 80 divisors (see below), whose sum is σ = 25312165632. Its totient is φ = 3838313600.

The previous prime is 10032001999. The next prime is 10032002011. The reversal of 10032002000 is 20023001.

10032002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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, 63044 + ... + 155043.

Almost surely, 2^10032002000 is an apocalyptic number.

10032002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032002000 is an abundant number, since it is smaller than the sum of its proper divisors (15280163632).

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

10032002000 is a wasteful number, since it uses less digits than its factorization.

10032002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218133 (or 218117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10032002000 its reverse (20023001), we get a palindrome (10052025001).

The spelling of 10032002000 in words is "ten billion, thirty-two million, two thousand".