200342442300 has 288 divisors, whose sum is σ = 778282520064. Its totient is φ = 38427264000.

The previous prime is 200342442277. The next prime is 200342442301. The reversal of 200342442300 is 3244243002.

200342442300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200342442300³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200342442301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33271 + ... + 633870.

Almost surely, 2^200342442300 is an apocalyptic number.

200342442300 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 200342442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389141260032).

200342442300 is an abundant number, since it is smaller than the sum of its proper divisors (577940077764).

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

200342442300 is a wasteful number, since it uses less digits than its factorization.

200342442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667189 (or 667182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 200342442300 its reverse (3244243002), we get a palindrome (203586685302).

The spelling of 200342442300 in words is "two hundred billion, three hundred forty-two million, four hundred forty-two thousand, three hundred".