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112,181

112,181 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

112,181 (one hundred twelve thousand one hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B635.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
16
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
181,211
Recamán's sequence
a(246,938) = 112,181
Square (n²)
12,584,576,761
Cube (n³)
1,411,750,405,625,741
Divisor count
2
σ(n) — sum of divisors
112,182
φ(n) — Euler's totient
112,180

Primality

112,181 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112181
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,181)
1 × 112181
First multiples
112,181 · 224,362 (double) · 336,543 · 448,724 · 560,905 · 673,086 · 785,267 · 897,448 · 1,009,629 · 1,121,810

Sums & aliquot sequence

As a sum of two squares: 25² + 334²
As consecutive integers: 56,090 + 56,091

Continued fraction of √n

√112,181 = [334; (1, 14, 4, 2, 3, 39, 8, 1, 3, 1, 2, 1, 2, 2, 7, 2, 5, 2, 5, 1, 2, 5, 133, 1, …)]

Representations

In words
one hundred twelve thousand one hundred eighty-one
Ordinal
112181st
Binary
11011011000110101
Octal
333065
Hexadecimal
0x1B635
Base64
AbY1
One's complement
4,294,855,114 (32-bit)
Scientific notation
1.12181 × 10⁵
As a duration
112,181 s = 1 day, 7 hours, 9 minutes, 41 seconds
In other bases
ternary (3) 12200212212
quaternary (4) 123120311
quinary (5) 12042211
senary (6) 2223205
septenary (7) 645026
nonary (9) 180785
undecimal (11) 77313
duodecimal (12) 54b05
tridecimal (13) 3c0a4
tetradecimal (14) 2cc4d
pentadecimal (15) 2338b

As an angle

112,181° = 311 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριβρπαʹ
Mayan (base 20)
𝋮·𝋠·𝋩·𝋡
Chinese
一十一萬二千一百八十一
Chinese (financial)
壹拾壹萬貳仟壹佰捌拾壹
In other modern scripts
Eastern Arabic ١١٢١٨١ Devanagari ११२१८१ Bengali ১১২১৮১ Tamil ௧௧௨௧௮௧ Thai ๑๑๒๑๘๑ Tibetan ༡༡༢༡༨༡ Khmer ១១២១៨១ Lao ໑໑໒໑໘໑ Burmese ၁၁၂၁၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B635
RGB(1, 182, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.53.

Address
0.1.182.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.53

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 112,181 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 112181 first appears in π at position 49,204 of the decimal expansion (the 49,204ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.