201305200 has 60 divisors (see below), whose sum is σ = 504686448. Its totient is φ = 77017600.

The previous prime is 201305191. The next prime is 201305201. The reversal of 201305200 is 2503102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201305201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1741 + ... + 20140.

Almost surely, 2^201305200 is an apocalyptic number.

201305200 is a gapful number since it is divisible by the number (20) 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 201305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252343224).

201305200 is an abundant number, since it is smaller than the sum of its proper divisors (303381248).

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

201305200 is a wasteful number, since it uses less digits than its factorization.

201305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21922 (or 21911 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 201305200 is about 14188.2063700808. The cubic root of 201305200 is about 586.0729329486.

Adding to 201305200 its reverse (2503102), we get a palindrome (203808302).

The spelling of 201305200 in words is "two hundred one million, three hundred five thousand, two hundred".