3111 has 8 divisors (see below), whose sum is σ = 4464. Its totient is φ = 1920.

The previous prime is 3109. The next prime is 3119. The reversal of 3111 is 1113.

Adding to 3111 its reverse (1113), we get a palindrome (4224).

It can be divided in two parts, 3 and 111, that multiplied together give a palindrome (333).

3111 = T_{10} + T_{11} + ... +
T_{26}.

3111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3111 - 2^{1} = 3109 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.

3111 is a modest number, since divided by 111 gives 3 as remainder.

3111 is a lucky number.

It is a plaindrome in base 6 and base 11.

It is a nialpdrome in base 5, base 10 and base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3111.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3111.

It is not an unprimeable number, because it can be changed into a prime (3119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

3111 is a deficient number, since it is larger than the sum of its proper divisors (1353).

3111 is a wasteful number, since it uses less digits than its factorization.

3111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its digits is 3, while the sum is 6.

The square root of 3111 is about 55.7763390695. The cubic root of 3111 is about 14.5982233404.

The spelling of 3111 in words is "three thousand, one hundred eleven", and thus it is an iban number.

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