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13111 = 71873
BaseRepresentation
bin11001100110111
3122222121
43030313
5404421
6140411
753140
oct31467
918877
1013111
11993a
127707
135c77
144ac7
153d41
hex3337

13111 has 4 divisors (see below), whose sum is σ = 14992. Its totient is φ = 11232.

The previous prime is 13109. The next prime is 13121. The reversal of 13111 is 11131.

Adding to 13111 its reverse (11131), we get a palindrome (24242).

It can be divided in two parts, 131 and 11, that multiplied together give a palindrome (1441).

It is a happy number.

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 13111 - 21 = 13109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 1873 = 13111 / (1 + 3 + 1 + 1 + 1).

It is the 115-th Hogben number.

It is a Duffinian number.

13111 is a modest number, since divided by 111 gives 13 as remainder.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13094 and 13103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a nontrivial repunit in base 114.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 930 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (3748).

213111 is an apocalyptic number.

13111 is a deficient number, since it is larger than the sum of its proper divisors (1881).

13111 is an equidigital number, since it uses as much as digits as its factorization.

13111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880.

The product of its digits is 3, while the sum is 7.

The square root of 13111 is about 114.5032750623. The cubic root of 13111 is about 23.5800799062.

The spelling of 13111 in words is "thirteen thousand, one hundred eleven".

Divisors: 1 7 1873 13111