301300222300 has 144 divisors (see below), whose sum is σ = 817257692160. Its totient is φ = 93669408000.

The previous prime is 301300222243. The next prime is 301300222319. The reversal of 301300222300 is 3222003103.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2945005 + ... + 3045595.

It is an arithmetic number, because the mean of its divisors is an integer number (5675400640).

Almost surely, 2^301300222300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301300222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408628846080).

301300222300 is an abundant number, since it is smaller than the sum of its proper divisors (515957469860).

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

301300222300 is a wasteful number, since it uses less digits than its factorization.

301300222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101012 (or 101005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 301300222300 its reverse (3222003103), we get a palindrome (304522225403).

The spelling of 301300222300 in words is "three hundred one billion, three hundred million, two hundred twenty-two thousand, three hundred".