20330103200 has 144 divisors (see below), whose sum is σ = 54404330400. Its totient is φ = 7357056000.

The previous prime is 20330103193. The next prime is 20330103217. The reversal of 20330103200 is 230103302.

It is a super-2 number, since 2×20330103200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851326 + ... + 1862274.

It is an arithmetic number, because the mean of its divisors is an integer number (377807850).

Almost surely, 2^20330103200 is an apocalyptic number.

20330103200 is a gapful number since it is divisible by the number (20) 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 20330103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202165200).

20330103200 is an abundant number, since it is smaller than the sum of its proper divisors (34074227200).

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

20330103200 is a wasteful number, since it uses less digits than its factorization.

20330103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 20330103200 its reverse (230103302), we get a palindrome (20560206502).

The spelling of 20330103200 in words is "twenty billion, three hundred thirty million, one hundred three thousand, two hundred".