11201 has 4 divisors (see below), whose sum is σ = 11712. Its totient is φ = 10692.

The previous prime is 11197. The next prime is 11213. The reversal of 11201 is 10211.

11201 = T_{19} + T_{20} + ... +
T_{41}.

It is a happy number.

11201 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 11201 - 2^{2} = 11197 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2928).

2^{11201} is an apocalyptic number.

It is an amenable number.

11201 is a deficient number, since it is larger than the sum of its proper divisors (511).

11201 is an equidigital number, since it uses as much as digits as its factorization.

11201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11201 is about 105.8347768930. The cubic root of 11201 is about 22.3744447081.

Adding to 11201 its reverse (10211), we get a palindrome (21412).

Subtracting from 11201 its reverse (10211), we obtain a triangular number (990 = T_{44}).

Multiplying 11201 by its reverse (10211), we get a palindrome (114373411).

It can be divided in two parts, 11 and 201, that multiplied together give a triangular number (2211 = T_{66}).

The spelling of 11201 in words is "eleven thousand, two hundred one", and thus it is an iban number.

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