# 271 (number)

 ← 270 271 272 →
Cardinaltwo hundred seventy-one
Ordinal271st
(two hundred seventy-first)
Factorizationprime
Primeyes
Greek numeralΣΟΑ´
Roman numeralCCLXXI
Binary1000011112
Ternary1010013
Quaternary100334
Quinary20415
Senary11316
Octal4178
Duodecimal1A712
VigesimalDB20
Base 367J36

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:

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