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11027 is a prime number
BaseRepresentation
bin10101100010011
3120010102
42230103
5323102
6123015
744102
oct25423
916112
1011027
118315
12646b
135033
144039
153402
hex2b13

11027 has 2 divisors, whose sum is σ = 11028. Its totient is φ = 11026.

The previous prime is 11003. The next prime is 11047. The reversal of 11027 is 72011.

Adding to 11027 its reverse (72011), we get a palindrome (83038).

11027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11027 - 28 = 10771 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 11027 parts by 148 straight cuts.

11027 is a modest number, since divided by 27 gives 11 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10999 and 11017.

It is not a weakly prime, because it can be changed into another prime (11047) 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 as a sum of consecutive naturals, namely, 5513 + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (5514).

211027 is an apocalyptic number.

11027 is a deficient number, since it is larger than the sum of its proper divisors (1).

11027 is an equidigital number, since it uses as much as digits as its factorization.

11027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 11027 is about 105.0095233776. The cubic root of 11027 is about 22.2579822389.

The spelling of 11027 in words is "eleven thousand, twenty-seven", and thus it is an iban number.