301431004002 has 48 divisors (see below), whose sum is σ = 665500338360. Its totient is φ = 98569775616.

The previous prime is 301431004001. The next prime is 301431004033. The reversal of 301431004002 is 200400134103.

It can be written as a sum of positive squares in 4 ways, for example, as 127048760721 + 174382243281 = 356439^2 + 417591^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (301431004001) 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 23 ways as a sum of consecutive naturals, for example, 13227274 + ... + 13250042.

Almost surely, 2^301431004002 is an apocalyptic number.

301431004002 is an abundant number, since it is smaller than the sum of its proper divisors (364069334358).

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

301431004002 is a wasteful number, since it uses less digits than its factorization.

301431004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36707 (or 36704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 301431004002 its reverse (200400134103), we get a palindrome (501831138105).

The spelling of 301431004002 in words is "three hundred one billion, four hundred thirty-one million, four thousand, two".