301140313000 has 32 divisors (see below), whose sum is σ = 704668334760. Its totient is φ = 120456124800.

The previous prime is 301140312997. The next prime is 301140313007. The reversal of 301140313000 is 313041103.

It can be written as a sum of positive squares in 4 ways, for example, as 126063342916 + 175076970084 = 355054^2 + 418422^2 .

It is a super-2 number, since 2×301140313000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (301140313007) 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 7 ways as a sum of consecutive naturals, for example, 150569157 + ... + 150571156.

Almost surely, 2^301140313000 is an apocalyptic number.

It is an amenable number.

301140313000 is an abundant number, since it is smaller than the sum of its proper divisors (403528021760).

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

301140313000 is a wasteful number, since it uses less digits than its factorization.

301140313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301140334 (or 301140320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 301140313000 its reverse (313041103), we get a palindrome (301453354103).

The spelling of 301140313000 in words is "three hundred one billion, one hundred forty million, three hundred thirteen thousand".