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112,361

112,361 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.).

112,361 (one hundred twelve thousand three hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B6E9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
163,211
Recamán's sequence
a(52,045) = 112,361
Square (n²)
12,624,994,321
Cube (n³)
1,418,556,986,901,881
Divisor count
2
σ(n) — sum of divisors
112,362
φ(n) — Euler's totient
112,360

Primality

112,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,361)
1 × 112361
First multiples
112,361 · 224,722 (double) · 337,083 · 449,444 · 561,805 · 674,166 · 786,527 · 898,888 · 1,011,249 · 1,123,610

Sums & aliquot sequence

As a sum of two squares: 200² + 269²
As consecutive integers: 56,180 + 56,181

Continued fraction of √n

√112,361 = [335; (4, 1, 12, 1, 7, 2, 4, 1, 3, 3, 2, 1, 1, 1, 1, 1, 3, 3, 1, 10, 1, 1, 2, 11, …)]

Representations

In words
one hundred twelve thousand three hundred sixty-one
Ordinal
112361st
Binary
11011011011101001
Octal
333351
Hexadecimal
0x1B6E9
Base64
Abbp
One's complement
4,294,854,934 (32-bit)
Scientific notation
1.12361 × 10⁵
As a duration
112,361 s = 1 day, 7 hours, 12 minutes, 41 seconds
In other bases
ternary (3) 12201010112
quaternary (4) 123123221
quinary (5) 12043421
senary (6) 2224105
septenary (7) 645404
nonary (9) 181115
undecimal (11) 77467
duodecimal (12) 55035
tridecimal (13) 3c1b2
tetradecimal (14) 2cd3b
pentadecimal (15) 2345b

As an angle

112,361° = 312 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριβτξαʹ
Mayan (base 20)
𝋮·𝋠·𝋲·𝋡
Chinese
一十一萬二千三百六十一
Chinese (financial)
壹拾壹萬貳仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١١٢٣٦١ Devanagari ११२३६१ Bengali ১১২৩৬১ Tamil ௧௧௨௩௬௧ Thai ๑๑๒๓๖๑ Tibetan ༡༡༢༣༦༡ Khmer ១១២៣៦១ Lao ໑໑໒໓໖໑ Burmese ၁၁၂၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 112363.

Hex color
#01B6E9
RGB(1, 182, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.233.

Address
0.1.182.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.233

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 112,361 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 112361 first appears in π at position 859,145 of the decimal expansion (the 859,145ordinal-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.