| ||||
---|---|---|---|---|

Cardinal | two hundred seventy-one | |||

Ordinal | 271st (two hundred seventy-first) | |||

Factorization | prime | |||

Prime | yes | |||

Greek numeral | ΣΟΑ´ | |||

Roman numeral | CCLXXI | |||

Binary | 100001111_{2} | |||

Ternary | 101001_{3} | |||

Quaternary | 10033_{4} | |||

Quinary | 2041_{5} | |||

Senary | 1131_{6} | |||

Octal | 417_{8} | |||

Duodecimal | 1A7_{12} | |||

Hexadecimal | 10F_{16} | |||

Vigesimal | DB_{20} | |||

Base 36 | 7J_{36} |

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

## Properties

271 is a twin prime with 269,^{[1]} a cuban prime (a prime number that is the difference of two consecutive cubes),^{[2]} and a centered hexagonal number.^{[3]} It is the smallest prime number bracketed on both sides by numbers divisible by cubes,^{[4]} and the smallest prime number bracketed by numbers with five primes (counting repetitions) in their factorizations:^{[5]}

- and .

After 7, 271 is the second-smallest Eisenstein–Mersenne prime, one of the analogues of the Mersenne primes in the Eisenstein integers.^{[6]}

271 is the largest prime factor of the five-digit repunit 11111,^{[7]} and the largest prime number for which the decimal period of its multiplicative inverse is 5:^{[8]}

## References

**^**Sloane, N. J. A. (ed.). "Sequence A006512 (Greater of twin primes)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N. J. A. (ed.). "Sequence A003215 (Hex (or centered hexagonal) numbers)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Friedman, Erich. "What's Special About This Number?". Retrieved 2018-10-01.**^**Sloane, N. J. A. (ed.). "Sequence A154598 (a(n) is the smallest prime p such that p-1 and p+1 both have n prime factors (with multiplicity))".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N. J. A. (ed.). "Sequence A066413 (Eisenstein-Mersenne primes)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N. J. A. (ed.). "Sequence A003020 (Largest prime factor of the "repunit" number 11...1)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.**^**Sloane, N. J. A. (ed.). "Sequence A061075 (Greatest prime number p(n) with decimal fraction period of length n)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.