301000000020 has 192 divisors, whose sum is σ = 891014971392. Its totient is φ = 75821760000.

The previous prime is 301000000013. The next prime is 301000000027. The reversal of 301000000020 is 20000000103.

It is an interprime number because it is at equal distance from previous prime (301000000013) and next prime (301000000027).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 300999999945 and 301000000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301000000027) 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 63 ways as a sum of consecutive naturals, for example, 13326777 + ... + 13349343.

It is an arithmetic number, because the mean of its divisors is an integer number (4640702976).

Almost surely, 2^301000000020 is an apocalyptic number.

301000000020 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 301000000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445507485696).

301000000020 is an abundant number, since it is smaller than the sum of its proper divisors (590014971372).

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

301000000020 is a wasteful number, since it uses less digits than its factorization.

301000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22782 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 301000000020 its reverse (20000000103), we get a palindrome (321000000123).

The spelling of 301000000020 in words is "three hundred one billion, twenty", and thus it is an aban number.