201311400 has 48 divisors (see below), whose sum is σ = 624067200. Its totient is φ = 53682880.

The previous prime is 201311393. The next prime is 201311419. The reversal of 201311400 is 4113102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167160 + ... + 168359.

It is an arithmetic number, because the mean of its divisors is an integer number (13001400).

Almost surely, 2^201311400 is an apocalyptic number.

201311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201311400 is an abundant number, since it is smaller than the sum of its proper divisors (422755800).

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

201311400 is a wasteful number, since it uses less digits than its factorization.

201311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335538 (or 335529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201311400 is about 14188.4248597228. The cubic root of 201311400 is about 586.0789497080.

Adding to 201311400 its reverse (4113102), we get a palindrome (205424502).

The spelling of 201311400 in words is "two hundred one million, three hundred eleven thousand, four hundred".