10330002000 has 240 divisors, whose sum is σ = 36175756032. Its totient is φ = 2747308800.

The previous prime is 10330001999. The next prime is 10330002031. The reversal of 10330002000 is 20003301.

It is a happy number.

10330002000 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 11645557 + ... + 11646443.

Almost surely, 2^10330002000 is an apocalyptic number.

10330002000 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 10330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087878016).

10330002000 is an abundant number, since it is smaller than the sum of its proper divisors (25845754032).

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

10330002000 is a wasteful number, since it uses less digits than its factorization.

10330002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10330002000 its reverse (20003301), we get a palindrome (10350005301).

The spelling of 10330002000 in words is "ten billion, three hundred thirty million, two thousand".