11002330000 has 200 divisors, whose sum is σ = 28433398400. Its totient is φ = 4110912000.

The previous prime is 11002329997. The next prime is 11002330007. The reversal of 11002330000 is 3320011.

11002330000 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 (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11002330007) 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 39 ways as a sum of consecutive naturals, for example, 15009634 + ... + 15010366.

It is an arithmetic number, because the mean of its divisors is an integer number (142166992).

Almost surely, 2^11002330000 is an apocalyptic number.

11002330000 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 11002330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14216699200).

11002330000 is an abundant number, since it is smaller than the sum of its proper divisors (17431068400).

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

11002330000 is an equidigital number, since it uses as much as digits as its factorization.

11002330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 11002330000 its reverse (3320011), we get a palindrome (11005650011).

The spelling of 11002330000 in words is "eleven billion, two million, three hundred thirty thousand".