200434431300 has 144 divisors (see below), whose sum is σ = 588162355200. Its totient is φ = 52691932800.

The previous prime is 200434431283. The next prime is 200434431311. The reversal of 200434431300 is 3134434002.

200434431300 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-2 number, since 2×200434431300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16370581 + ... + 16382819.

It is an arithmetic number, because the mean of its divisors is an integer number (4084460800).

Almost surely, 2^200434431300 is an apocalyptic number.

200434431300 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 200434431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294081177600).

200434431300 is an abundant number, since it is smaller than the sum of its proper divisors (387727923900).

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

200434431300 is a wasteful number, since it uses less digits than its factorization.

200434431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200434431300 its reverse (3134434002), we get a palindrome (203568865302).

The spelling of 200434431300 in words is "two hundred billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred".