201442300200 has 72 divisors (see below), whose sum is σ = 676510397550. Its totient is φ = 53717946240.

The previous prime is 201442300183. The next prime is 201442300231. The reversal of 201442300200 is 2003244102.

201442300200 is a `hidden beast` number, since 20 + 1 + 442 + 3 + 0 + 0 + 200 = 666.

201442300200 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 3 ways, for example, as 194782760964 + 6659539236 = 441342^2 + 81606^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 55954395 + ... + 55957994.

Almost surely, 2^201442300200 is an apocalyptic number.

201442300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201442300200 is an abundant number, since it is smaller than the sum of its proper divisors (475068097350).

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

201442300200 is a wasteful number, since it uses less digits than its factorization.

201442300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111912411 (or 111912399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201442300200 its reverse (2003244102), we get a palindrome (203445544302).

The spelling of 201442300200 in words is "two hundred one billion, four hundred forty-two million, three hundred thousand, two hundred".