1023003200 has 84 divisors (see below), whose sum is σ = 2626766400. Its totient is φ = 391395840.

The previous prime is 1023003181. The next prime is 1023003209. The reversal of 1023003200 is 23003201.

1023003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1023003209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22901 + ... + 50699.

Almost surely, 2^1023003200 is an apocalyptic number.

1023003200 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 1023003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313383200).

1023003200 is an abundant number, since it is smaller than the sum of its proper divisors (1603763200).

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

1023003200 is a wasteful number, since it uses less digits than its factorization.

1023003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1023003200 is about 31984.4212078318. The cubic root of 1023003200 is about 1007.6096792302.

Adding to 1023003200 its reverse (23003201), we get a palindrome (1046006401).

Subtracting from 1023003200 its reverse (23003201), we obtain a palindrome (999999999).

The spelling of 1023003200 in words is "one billion, twenty-three million, three thousand, two hundred".