200330010000 has 500 divisors, whose sum is σ = 731503890700. Its totient is φ = 52907904000.

The previous prime is 200330009989. The next prime is 200330010017. The reversal of 200330010000 is 10033002.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 181189840896 + 19140169104 = 425664^2 + 138348^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×200330010000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 88288866 + ... + 88291134.

Almost surely, 2^200330010000 is an apocalyptic number.

200330010000 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 200330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365751945350).

200330010000 is an abundant number, since it is smaller than the sum of its proper divisors (531173880700).

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

200330010000 is a wasteful number, since it uses less digits than its factorization.

200330010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2388 counting only the distinct ones).

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

Adding to 200330010000 its reverse (10033002), we get a palindrome (200340043002).

The spelling of 200330010000 in words is "two hundred billion, three hundred thirty million, ten thousand".