301105072242 has 54 divisors (see below), whose sum is σ = 706509836487. Its totient is φ = 92638402272.

The previous prime is 301105072237. The next prime is 301105072249. The reversal of 301105072242 is 242270501103.

301105072242 is a `hidden beast` number, since 3 + 0 + 110 + 507 + 2 + 2 + 42 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 24417500121 + 276687572121 = 156261^2 + 526011^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=388011.

It is not an unprimeable number, because it can be changed into a prime (301105072249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30259884 + ... + 30269832.

Almost surely, 2^301105072242 is an apocalyptic number.

301105072242 is an abundant number, since it is smaller than the sum of its proper divisors (405404764245).

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

301105072242 is an frugal number, since it uses more digits than its factorization.

301105072242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19932 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 301105072242 its reverse (242270501103), we get a palindrome (543375573345).

The spelling of 301105072242 in words is "three hundred one billion, one hundred five million, seventy-two thousand, two hundred forty-two".