300003201000 has 192 divisors, whose sum is σ = 1016107822080. Its totient is φ = 79835414400.

The previous prime is 300003200969. The next prime is 300003201007. The reversal of 300003201000 is 102300003.

It is a happy number.

It is a super-2 number, since 2×300003201000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (300003201007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348777 + ... + 4417223.

It is an arithmetic number, because the mean of its divisors is an integer number (5292228240).

Almost surely, 2^300003201000 is an apocalyptic number.

300003201000 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 300003201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508053911040).

300003201000 is an abundant number, since it is smaller than the sum of its proper divisors (716104621080).

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

300003201000 is a wasteful number, since it uses less digits than its factorization.

300003201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68961 (or 68944 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 300003201000 its reverse (102300003), we get a palindrome (300105501003).

The spelling of 300003201000 in words is "three hundred billion, three million, two hundred one thousand".