200001304033000 has 256 divisors, whose sum is σ = 491780364042240. Its totient is φ = 75985820064000.

The previous prime is 200001304032973. The next prime is 200001304033039. The reversal of 200001304033000 is 330403100002.

It is a super-2 number, since 2×200001304033000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3806404729 + ... + 3806457271.

It is an arithmetic number, because the mean of its divisors is an integer number (1921017047040).

Almost surely, 2^{200001304033000} is an apocalyptic number.

200001304033000 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 200001304033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245890182021120).

200001304033000 is an abundant number, since it is smaller than the sum of its proper divisors (291779060009240).

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

200001304033000 is a wasteful number, since it uses less digits than its factorization.

200001304033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53745 (or 53731 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 200001304033000 its reverse (330403100002), we get a palindrome (200331707133002).

The spelling of 200001304033000 in words is "two hundred trillion, one billion, three hundred four million, thirty-three thousand".