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26111 is a prime number
BaseRepresentation
bin110010111111111
31022211002
412113333
51313421
6320515
7136061
oct62777
938732
1026111
1118688
121313b
13bb67
149731
157b0b
hex65ff

26111 has 2 divisors, whose sum is σ = 26112. Its totient is φ = 26110.

The previous prime is 26107. The next prime is 26113. The reversal of 26111 is 11162.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 26111 - 22 = 26107 is a prime.

It is a Sophie Germain prime.

Together with 26113, it forms a pair of twin primes.

It is a Chen prime.

26111 is a modest number, since divided by 111 gives 26 as remainder.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 26092 and 26101.

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 26111.

It is not a weakly prime, because it can be changed into another prime (26113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13055 + 13056.

It is an arithmetic number, because the mean of its divisors is an integer number (13056).

226111 is an apocalyptic number.

26111 is a deficient number, since it is larger than the sum of its proper divisors (1).

26111 is an equidigital number, since it uses as much as digits as its factorization.

26111 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 11.

The square root of 26111 is about 161.5889847731. The cubic root of 26111 is about 29.6670594289.

Adding to 26111 its reverse (11162), we get a palindrome (37273).

It can be divided in two parts, 261 and 11, that added together give a palindrome (272).

The spelling of 26111 in words is "twenty-six thousand, one hundred eleven".