1003305420200 has 48 divisors (see below), whose sum is σ = 2339732643360. Its totient is φ = 400109688000.

The previous prime is 1003305420197. The next prime is 1003305420209. The reversal of 1003305420200 is 20245033001.

It is a happy number.

1003305420200 is digitally balanced in base 2, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (1003305420209) 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, 7511636 + ... + 7644035.

It is an arithmetic number, because the mean of its divisors is an integer number (48744430070).

Almost surely, 2^{1003305420200} is an apocalyptic number.

1003305420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003305420200 is an abundant number, since it is smaller than the sum of its proper divisors (1336427223160).

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

1003305420200 is a wasteful number, since it uses less digits than its factorization.

1003305420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15156018 (or 15156009 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 1003305420200 in words is "one trillion, three billion, three hundred five million, four hundred twenty thousand, two hundred".