201302020000 has 60 divisors (see below), whose sum is σ = 495233213706. Its totient is φ = 80520800000.

The previous prime is 201302019991. The next prime is 201302020001. The reversal of 201302020000 is 20203102.

201302020000 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 5 ways, for example, as 16329772944 + 184972247056 = 127788^2 + 430084^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201302020001) 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 9 ways as a sum of consecutive naturals, for example, 5012551 + ... + 5052550.

Almost surely, 2^201302020000 is an apocalyptic number.

201302020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201302020000 is an abundant number, since it is smaller than the sum of its proper divisors (293931193706).

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

201302020000 is an equidigital number, since it uses as much as digits as its factorization.

201302020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065131 (or 10065108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 201302020000 its reverse (20203102), we get a palindrome (201322223102).

The spelling of 201302020000 in words is "two hundred one billion, three hundred two million, twenty thousand".