230220312001 has 8 divisors (see below), whose sum is σ = 236192255208. Its totient is φ = 224265360000.

The previous prime is 230220311933. The next prime is 230220312029. The reversal of 230220312001 is 100213022032.

230220312001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59290000 + 230161022001 = 7700^2 + 479751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 230220312001 - 2⁷ = 230220311873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230220312041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4220350 + ... + 4274551.

It is an arithmetic number, because the mean of its divisors is an integer number (29524031901).

Almost surely, 2^230220312001 is an apocalyptic number.

It is an amenable number.

230220312001 is a deficient number, since it is larger than the sum of its proper divisors (5971943207).

230220312001 is an equidigital number, since it uses as much as digits as its factorization.

230220312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495603.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230220312001 its reverse (100213022032), we get a palindrome (330433334033).

The spelling of 230220312001 in words is "two hundred thirty billion, two hundred twenty million, three hundred twelve thousand, one".