3003001010000 has 100 divisors (see below), whose sum is σ = 7338517572672. Its totient is φ = 1189973808000.

The previous prime is 3003001009991. The next prime is 3003001010011. The reversal of 3003001010000 is 101003003.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3003001010000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3003001010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333272 + ... + 2473271.

Almost surely, 2^{3003001010000} is an apocalyptic number.

It is an amenable number.

3003001010000 is an abundant number, since it is smaller than the sum of its proper divisors (4335516562672).

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

3003001010000 is a wasteful number, since it uses less digits than its factorization.

3003001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806678 (or 2806657 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 3003001010000 its reverse (101003003), we get a palindrome (3003102013003).

The spelling of 3003001010000 in words is "three trillion, three billion, one million, ten thousand".