3002014102003 has 16 divisors (see below), whose sum is σ = 3580159712256. Its totient is φ = 2461197483360.

The previous prime is 3002014101997. The next prime is 3002014102019.

It is a happy number.

3002014102003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3002014102003 - 2¹³ = 3002014093811 is a prime.

It is a super-2 number, since 2×3002014102003² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3002014102063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859125 + ... + 5441977.

It is an arithmetic number, because the mean of its divisors is an integer number (223759982016).

Almost surely, 2^{3002014102003} is an apocalyptic number.

3002014102003 is a deficient number, since it is larger than the sum of its proper divisors (578145610253).

3002014102003 is a wasteful number, since it uses less digits than its factorization.

3002014102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614874.

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 3002014102003 in words is "three trillion, two billion, fourteen million, one hundred two thousand, three".