271 (number)

← 270 271 272 →
← 200 210 220 230 240 250 260 270 280 290 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred seventy-one
Ordinal	271st (two hundred seventy-first)
Factorization	prime
Prime	yes
Greek numeral	ΣΟΑ´
Roman numeral	CCLXXI
Binary	1000011112
Ternary	1010013
Senary	11316
Octal	4178
Duodecimal	1A712
Hexadecimal	10F16

271 (two hundred [and] seventy-one) is the natural number after 270 and before 272.

Properties

271 is a twin prime with 269, a cuban prime (a prime number that is the difference of two consecutive cubes), and a centered hexagonal number. It is the smallest prime number bracketed on both sides by numbers divisible by cubes, and the smallest prime number bracketed by numbers with five primes (counting repetitions) in their factorizations:

$270=2\cdot 3^{3}\cdot 5$ and $272=2^{4}\cdot 17$.

After 7, 271 is the second-smallest Eisenstein–Mersenne prime, one of the analogues of the Mersenne primes in the Eisenstein integers.

271 is the largest prime factor of the five-digit repunit 11111, and the largest prime number for which the decimal period of its multiplicative inverse is 5:

${\frac {1}{271}}=0.00369003690036900369\ldots$

It is a sexy prime with 277.