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11701 is a prime number
BaseRepresentation
bin10110110110101
3121001101
42312311
5333301
6130101
746054
oct26665
917041
1011701
118878
126931
135431
14439b
153701
hex2db5

11701 has 2 divisors, whose sum is σ = 11702. Its totient is φ = 11700.

The previous prime is 11699. The next prime is 11717. The reversal of 11701 is 10711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 676 = 105^2 + 26^2 .

It is an emirp because it is prime and its reverse (10711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11701 - 21 = 11699 is a prime.

Together with 11699, it forms a pair of twin primes.

It is equal to p1405 and since 11701 and 1405 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5850 + 5851.

It is an arithmetic number, because the mean of its divisors is an integer number (5851).

211701 is an apocalyptic number.

It is an amenable number.

11701 is a deficient number, since it is larger than the sum of its proper divisors (1).

11701 is an equidigital number, since it uses as much as digits as its factorization.

11701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 11701 is about 108.1711606668. The cubic root of 11701 is about 22.7025335655.

Adding to 11701 its sum of digits (10), we get a palindrome (11711).

Subtracting from 11701 its reverse (10711), we obtain a triangular number (990 = T44).

The spelling of 11701 in words is "eleven thousand, seven hundred one", and thus it is an iban number.