205314301030000 has 50 divisors (see below), whose sum is σ = 497086454247944. Its totient is φ = 82125720408000.

The previous prime is 205314301029991. The next prime is 205314301030009. The reversal of 205314301030000 is 30103413502.

It is an interprime number because it is at equal distance from previous prime (205314301029991) and next prime (205314301030009).

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205314301030009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10265705052 + ... + 10265725051.

Almost surely, 2^{205314301030000} is an apocalyptic number.

205314301030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205314301030000 is an abundant number, since it is smaller than the sum of its proper divisors (291772153217944).

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

205314301030000 is an equidigital number, since it uses as much as digits as its factorization.

205314301030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20531430131 (or 20531430110 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 205314301030000 its reverse (30103413502), we get a palindrome (205344404443502).

The spelling of 205314301030000 in words is "two hundred five trillion, three hundred fourteen billion, three hundred one million, thirty thousand".