300010300920 has 384 divisors, whose sum is σ = 1129403658240. Its totient is φ = 68259409920.

The previous prime is 300010300879. The next prime is 300010300943. The reversal of 300010300920 is 29003010003.

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

It is a junction number, because it is equal to n+sod(n) for n = 300010300893 and 300010300902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24700369 + ... + 24712511.

It is an arithmetic number, because the mean of its divisors is an integer number (2941155360).

Almost surely, 2^300010300920 is an apocalyptic number.

300010300920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300010300920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564701829120).

300010300920 is an abundant number, since it is smaller than the sum of its proper divisors (829393357320).

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

300010300920 is a wasteful number, since it uses less digits than its factorization.

300010300920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 300010300920 its reverse (29003010003), we get a palindrome (329013310923).

The spelling of 300010300920 in words is "three hundred billion, ten million, three hundred thousand, nine hundred twenty".