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112,199

112,199 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.).

112,199 (one hundred twelve thousand one hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B647.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
162
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
991,211
Recamán's sequence
a(246,902) = 112,199
Square (n²)
12,588,615,601
Cube (n³)
1,412,430,081,816,599
Divisor count
2
σ(n) — sum of divisors
112,200
φ(n) — Euler's totient
112,198

Primality

112,199 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112199
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,199)
1 × 112199
First multiples
112,199 · 224,398 (double) · 336,597 · 448,796 · 560,995 · 673,194 · 785,393 · 897,592 · 1,009,791 · 1,121,990

Sums & aliquot sequence

As consecutive integers: 56,099 + 56,100

Continued fraction of √n

√112,199 = [334; (1, 24, 1, 3, 3, 3, 1, 1, 1, 10, 2, 1, 10, 7, 1, 3, 1, 2, 2, 8, 1, 3, 21, 2, …)]

Representations

In words
one hundred twelve thousand one hundred ninety-nine
Ordinal
112199th
Binary
11011011001000111
Octal
333107
Hexadecimal
0x1B647
Base64
AbZH
One's complement
4,294,855,096 (32-bit)
Scientific notation
1.12199 × 10⁵
As a duration
112,199 s = 1 day, 7 hours, 9 minutes, 59 seconds
In other bases
ternary (3) 12200220112
quaternary (4) 123121013
quinary (5) 12042244
senary (6) 2223235
septenary (7) 645053
nonary (9) 180815
undecimal (11) 7732a
duodecimal (12) 54b1b
tridecimal (13) 3c0b9
tetradecimal (14) 2cc63
pentadecimal (15) 2339e

As an angle

112,199° = 311 × 360° + 239°
239° ≈ 4.171 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβρϟθʹ
Mayan (base 20)
𝋮·𝋠·𝋩·𝋳
Chinese
一十一萬二千一百九十九
Chinese (financial)
壹拾壹萬貳仟壹佰玖拾玖
In other modern scripts
Eastern Arabic ١١٢١٩٩ Devanagari ११२१९९ Bengali ১১২১৯৯ Tamil ௧௧௨௧௯௯ Thai ๑๑๒๑๙๙ Tibetan ༡༡༢༡༩༩ Khmer ១១២១៩៩ Lao ໑໑໒໑໙໙ Burmese ၁၁၂၁၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B647
RGB(1, 182, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.71.

Address
0.1.182.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.71

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 112,199 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 112199 first appears in π at position 174,424 of the decimal expansion (the 174,424ordinal-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.