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Number

191

191 is a prime, odd, a calendar year.

191 (one hundred ninety-one) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CXCI and in binary, 10111111.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Lazy Caterer Number Odious Number Palindrome Palindromic Prime Pernicious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime Undulating Number Year

Interestingness

14 notable facts · grade A
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Historical context — 191 AD

Calendar year

Year 191 (CXCI) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 191 BC

Calendar year

Year 191 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 191
Ended on
Saturday
December 31, 191
Friday the 13ths
1
One Friday the 13th this year.
Decade
190s
190–199
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,835
1835 years before 2026.

In other calendars

Hebrew
3951 / 3952 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
734 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
183 / 184 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
113 / 112 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
11
Digit product
9
Digital root
2
Palindrome
Yes
Bit width
8 bits
Flips to (rotate 180°)
161
Recamán's sequence
a(1,389) = 191
Square (n²)
36,481
Cube (n³)
6,967,871
Divisor count
2
σ(n) — sum of divisors
192
φ(n) — Euler's totient
190

Primality

191 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 191
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 191)
1 × 191
First multiples
191 · 382 (double) · 573 · 764 · 955 · 1,146 · 1,337 · 1,528 · 1,719 · 1,910

Sums & aliquot sequence

As consecutive integers: 95 + 96

Continued fraction of √n

√191 = [13; (1, 4, 1, 1, 3, 2, 2, 13, 2, 2, 3, 1, 1, 4, 1, 26)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred ninety-one
Ordinal
191st
Roman numeral
CXCI
Binary
10111111
Octal
277
Hexadecimal
0xBF
Base64
vw==
One's complement
64 (8-bit)
Scientific notation
1.91 × 10²
As a duration
191 s = 3 minutes, 11 seconds
In other bases
ternary (3) 21002
quaternary (4) 2333
quinary (5) 1231
senary (6) 515
septenary (7) 362
nonary (9) 232
undecimal (11) 164
duodecimal (12) 13b
tridecimal (13) 119
tetradecimal (14) d9
pentadecimal (15) cb
Palindromic in base 6, base 9

As an angle

191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
ρϟαʹ
Mayan (base 20)
𝋩·𝋫
Chinese
一百九十一
Chinese (financial)
壹佰玖拾壹
In other modern scripts
Eastern Arabic ١٩١ Devanagari १९१ Bengali ১৯১ Tamil ௧௯௧ Thai ๑๙๑ Tibetan ༡༩༡ Khmer ១៩១ Lao ໑໙໑ Burmese ၁၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 191 = 9
e — Euler's number (e)
Digit 191 = 1
φ — Golden ratio (φ)
Digit 191 = 9
√2 — Pythagoras's (√2)
Digit 191 = 7
ln 2 — Natural log of 2
Digit 191 = 6
γ — Euler-Mascheroni (γ)
Digit 191 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 181 (gap of 10)
  • Next prime: 193 (gap of 2)

Pair status: twin with 193.

Unicode codepoint
¿
Inverted Question Mark
U+00BF
Other punctuation (Po)

UTF-8 encoding: C2 BF (2 bytes).

Hex color
#0000BF
RGB(0, 0, 191)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.191.

Address
0.0.0.191
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.191

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 191 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G3 (196 Hz, -45¢ — about midway to F♯3)
  • Scientific pitch (C4 = 256 Hz): G3 (191.8 Hz, -7¢)
  • Baroque pitch (A4 = 415 Hz): G♯3 (195.9 Hz, -43¢)

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.