11111 has 4 divisors (see below), whose sum is σ = 11424. Its totient is φ = 10800.

The previous prime is 11093. The next prime is 11113.

It can be divided in two parts, 111 and 11, that multiplied together give a palindrome (1221).

11111 is nontrivially palindromic in base 10.

11111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 11111 - 2^{6} = 11047 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

11111 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{11110}.

It is a Duffinian number.

11111 is a modest number, since divided by 111 gives 11 as remainder.

11111 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11095 and 11104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113) by changing a digit.

It is a nontrivial repunit in base 10.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

2^{11111} is an apocalyptic number.

11111 is a deficient number, since it is larger than the sum of its proper divisors (313).

11111 is an equidigital number, since it uses as much as digits as its factorization.

11111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 1, while the sum is 5.

The square root of 11111 is about 105.4087282914. The cubic root of 11111 is about 22.3143572877.

The spelling of 11111 in words is "eleven thousand, one hundred eleven", and thus it is an iban number.

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