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Number

181

181 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Flippable Odious Number Palindrome Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Strobogrammatic Twin Prime Year

Historical context — 181 AD

Calendar year

Year 181 (CLXXXI) was a common year starting on Sunday of the Julian calendar.

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Historical context — 181 BC

Calendar year

Year 181 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Monday
January 1, 181
Ended on
Monday
December 31, 181
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
180s
180–189
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,845
1845 years before 2026.

In other calendars

Hebrew
3941 / 3942 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Rooster
Sexagenary cycle position 58 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
724 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
173 / 174 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
103 / 102 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
10
Digit product
8
Digital root
1
Palindrome
Yes
Bit width
8 bits
Recamán's sequence
a(1,409) = 181
Square (n²)
32,761
Cube (n³)
5,929,741
Divisor count
2
σ(n) — sum of divisors
182
φ(n) — Euler's totient
180

Primality

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

Divisors & multiples

All divisors (2)
1 · 181
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 181)
1 × 181
First multiples
181 · 362 (double) · 543 · 724 · 905 · 1,086 · 1,267 · 1,448 · 1,629 · 1,810

Sums & aliquot sequence

As a sum of two squares: 9² + 10²
As consecutive integers: 90 + 91

Representations

In words
one hundred eighty-one
Ordinal
181st
Roman numeral
CLXXXI
Binary
10110101
Octal
265
Hexadecimal
0xB5
Base64
tQ==
One's complement
74 (8-bit)
In other bases
ternary (3) 20201
quaternary (4) 2311
quinary (5) 1211
senary (6) 501
septenary (7) 346
nonary (9) 221
undecimal (11) 155
duodecimal (12) 131
tridecimal (13) 10c
tetradecimal (14) cd
pentadecimal (15) c1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
ρπαʹ
Mayan (base 20)
𝋩·𝋡
Chinese
一百八十一
Chinese (financial)
壹佰捌拾壹
In other modern scripts
Eastern Arabic ١٨١ Devanagari १८१ Bengali ১৮১ Tamil ௧௮௧ Thai ๑๘๑ Tibetan ༡༨༡ Khmer ១៨១ Lao ໑໘໑ Burmese ၁၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 181 = 9
e — Euler's number (e)
Digit 181 = 3
φ — Golden ratio (φ)
Digit 181 = 8
√2 — Pythagoras's (√2)
Digit 181 = 9
ln 2 — Natural log of 2
Digit 181 = 7
γ — Euler-Mascheroni (γ)
Digit 181 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 179 (gap of 2)
  • Next prime: 191 (gap of 10)

Pair status: twin with 179.

Unicode codepoint
µ
Micro Sign
U+00B5
Lowercase letter (Ll)

UTF-8 encoding: C2 B5 (2 bytes).

Hex color
#0000B5
RGB(0, 0, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.181.

Address
0.0.0.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.181

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000181
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.