1000303200 has 216 divisors, whose sum is σ = 3799006848. Its totient is φ = 246205440.

The previous prime is 1000303153. The next prime is 1000303207. The reversal of 1000303200 is 23030001.

It is a happy number.

1000303200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000303207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88257 + ... + 98943.

Almost surely, 2^1000303200 is an apocalyptic number.

1000303200 is a gapful number since it is divisible by the number (10) 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 1000303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899503424).

1000303200 is an abundant number, since it is smaller than the sum of its proper divisors (2798703648).

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

1000303200 is a wasteful number, since it uses less digits than its factorization.

1000303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726 (or 10710 counting only the distinct ones).

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

The square root of 1000303200 is about 31627.5702512855. The cubic root of 1000303200 is about 1000.1010564539.

Adding to 1000303200 its reverse (23030001), we get a palindrome (1023333201).

The spelling of 1000303200 in words is "one billion, three hundred three thousand, two hundred".