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112,289

112,289 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.).

112,289 (one hundred twelve thousand two hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B6A1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
288
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
982,211
Recamán's sequence
a(246,822) = 112,289
Square (n²)
12,608,819,521
Cube (n³)
1,415,831,735,193,569
Divisor count
2
σ(n) — sum of divisors
112,290
φ(n) — Euler's totient
112,288

Primality

112,289 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112289
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,289)
1 × 112289
First multiples
112,289 · 224,578 (double) · 336,867 · 449,156 · 561,445 · 673,734 · 786,023 · 898,312 · 1,010,601 · 1,122,890

Sums & aliquot sequence

As a sum of two squares: 8² + 335²
As consecutive integers: 56,144 + 56,145

Continued fraction of √n

√112,289 = [335; (10, 2, 7, 1, 9, 8, 3, 1, 1, 1, 1, 1, 2, 1, 26, 11, 1, 13, 2, 1, 11, 1, 1, 22, …)]

Representations

In words
one hundred twelve thousand two hundred eighty-nine
Ordinal
112289th
Binary
11011011010100001
Octal
333241
Hexadecimal
0x1B6A1
Base64
Abah
One's complement
4,294,855,006 (32-bit)
Scientific notation
1.12289 × 10⁵
As a duration
112,289 s = 1 day, 7 hours, 11 minutes, 29 seconds
In other bases
ternary (3) 12201000212
quaternary (4) 123122201
quinary (5) 12043124
senary (6) 2223505
septenary (7) 645242
nonary (9) 181025
undecimal (11) 77401
duodecimal (12) 54b95
tridecimal (13) 3c158
tetradecimal (14) 2ccc9
pentadecimal (15) 2340e

As an angle

112,289° = 311 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβσπθʹ
Mayan (base 20)
𝋮·𝋠·𝋮·𝋩
Chinese
一十一萬二千二百八十九
Chinese (financial)
壹拾壹萬貳仟貳佰捌拾玖
In other modern scripts
Eastern Arabic ١١٢٢٨٩ Devanagari ११२२८९ Bengali ১১২২৮৯ Tamil ௧௧௨௨௮௯ Thai ๑๑๒๒๘๙ Tibetan ༡༡༢༢༨༩ Khmer ១១២២៨៩ Lao ໑໑໒໒໘໙ Burmese ၁၁၂၂၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 112291.

Hex color
#01B6A1
RGB(1, 182, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.161.

Address
0.1.182.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.161

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 112,289 and was likely granted around 1871.

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

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.