201351300 has 72 divisors (see below), whose sum is σ = 584920896. Its totient is φ = 53477760.

The previous prime is 201351289. The next prime is 201351331. The reversal of 201351300 is 3153102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201351300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81889 + ... + 84311.

Almost surely, 2^201351300 is an apocalyptic number.

201351300 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 201351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292460448).

201351300 is an abundant number, since it is smaller than the sum of its proper divisors (383569596).

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

201351300 is a wasteful number, since it uses less digits than its factorization.

201351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 201351300 is about 14189.8308657996. The cubic root of 201351300 is about 586.1176675109.

The spelling of 201351300 in words is "two hundred one million, three hundred fifty-one thousand, three hundred".