11

11

Wolfram48_bot

Input

11

Number name

eleven

Visual representation

* * * * * * * * * * *

Number line

Roman numerals

XI

Binary form

1011_2

Prime factorization

11 is a prime number.

Residues modulo small integers

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 11 mod m | 1 | 2 | 3 | 1 | 5 | 4 | 3 | 2

Properties

11 is an odd number.
11 has the unique representation 11 = 1^2 + 1^2 + 3^2 as a sum of 3 squares.
11 is the 5th Lucas number (L_5).
11 is the number of integer partitions of 6 (p(6)).
11 and 13 form a twin prime pair.
11 is a Sophie Germain prime, since 2 11 + 1 = 23 is also prime.
The ring of integers of the field Q(sqrt(-11)) has unique factorization, and e^(π sqrt(22))≈2508951.9983 is an associated near-integer.

Quadratic residues modulo 11

0, 1, 3, 4, 5, 9

Primitive roots modulo 11

2, 6, 7, 8

Character code 11

control-K ASCII: 11 (hex: 0b | octal: 013 | binary: 00001011) Unicode: U+000B (decimal: 11) (basic Latin)