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112,331

112,331 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.).

112,331 (one hundred twelve thousand three hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B6CB.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
133,211
Square (n²)
12,618,253,561
Cube (n³)
1,417,421,040,760,691
Divisor count
2
σ(n) — sum of divisors
112,332
φ(n) — Euler's totient
112,330

Primality

112,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,331)
1 × 112331
First multiples
112,331 · 224,662 (double) · 336,993 · 449,324 · 561,655 · 673,986 · 786,317 · 898,648 · 1,010,979 · 1,123,310

Sums & aliquot sequence

As consecutive integers: 56,165 + 56,166

Continued fraction of √n

√112,331 = [335; (6, 3, 9, 1, 2, 4, 1, 1, 1, 12, 335, 12, 1, 1, 1, 4, 2, 1, 9, 3, 6, 670)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand three hundred thirty-one
Ordinal
112331st
Binary
11011011011001011
Octal
333313
Hexadecimal
0x1B6CB
Base64
AbbL
One's complement
4,294,854,964 (32-bit)
Scientific notation
1.12331 × 10⁵
As a duration
112,331 s = 1 day, 7 hours, 12 minutes, 11 seconds
In other bases
ternary (3) 12201002102
quaternary (4) 123123023
quinary (5) 12043311
senary (6) 2224015
septenary (7) 645332
nonary (9) 181072
undecimal (11) 7743a
duodecimal (12) 5500b
tridecimal (13) 3c18b
tetradecimal (14) 2cd19
pentadecimal (15) 2343b

As an angle

112,331° = 312 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριβτλαʹ
Mayan (base 20)
𝋮·𝋠·𝋰·𝋫
Chinese
一十一萬二千三百三十一
Chinese (financial)
壹拾壹萬貳仟參佰參拾壹
In other modern scripts
Eastern Arabic ١١٢٣٣١ Devanagari ११२३३१ Bengali ১১২৩৩১ Tamil ௧௧௨௩௩௧ Thai ๑๑๒๓๓๑ Tibetan ༡༡༢༣༣༡ Khmer ១១២៣៣១ Lao ໑໑໒໓໓໑ Burmese ၁၁၂၃၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 112327, sexy with 112337.

Hex color
#01B6CB
RGB(1, 182, 203)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.203.

Address
0.1.182.203
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.203

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 112,331 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.