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111,109

111,109 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.).

111,109 (one hundred eleven thousand one hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B205.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
901,111
Flips to (rotate 180°)
601,111
Recamán's sequence
a(248,190) = 111,109
Square (n²)
12,345,209,881
Cube (n³)
1,371,663,924,668,029
Divisor count
2
σ(n) — sum of divisors
111,110
φ(n) — Euler's totient
111,108

Primality

111,109 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111109
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,109)
1 × 111109
First multiples
111,109 · 222,218 (double) · 333,327 · 444,436 · 555,545 · 666,654 · 777,763 · 888,872 · 999,981 · 1,111,090

Sums & aliquot sequence

As a sum of two squares: 47² + 330²
As consecutive integers: 55,554 + 55,555

Continued fraction of √n

√111,109 = [333; (3, 34, 1, 3, 14, 1, 1, 3, 2, 9, 1, 1, 19, 1, 2, 10, 1, 3, 2, 1, 1, 3, 8, 1, …)]

Representations

In words
one hundred eleven thousand one hundred nine
Ordinal
111109th
Binary
11011001000000101
Octal
331005
Hexadecimal
0x1B205
Base64
AbIF
One's complement
4,294,856,186 (32-bit)
Scientific notation
1.11109 × 10⁵
As a duration
111,109 s = 1 day, 6 hours, 51 minutes, 49 seconds
In other bases
ternary (3) 12122102011
quaternary (4) 123020011
quinary (5) 12023414
senary (6) 2214221
septenary (7) 641635
nonary (9) 178364
undecimal (11) 76529
duodecimal (12) 54371
tridecimal (13) 3b75b
tetradecimal (14) 2c6c5
pentadecimal (15) 22dc4

As an angle

111,109° = 308 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριαρθʹ
Mayan (base 20)
𝋭·𝋱·𝋯·𝋩
Chinese
一十一萬一千一百零九
Chinese (financial)
壹拾壹萬壹仟壹佰零玖
In other modern scripts
Eastern Arabic ١١١١٠٩ Devanagari ११११०९ Bengali ১১১১০৯ Tamil ௧௧௧௧௦௯ Thai ๑๑๑๑๐๙ Tibetan ༡༡༡༡༠༩ Khmer ១១១១០៩ Lao ໑໑໑໑໐໙ Burmese ၁၁၁၁၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 111103.

Unicode codepoint
𛈅
Nushu Character-1B205
U+1B205
Other letter (Lo)

UTF-8 encoding: F0 9B 88 85 (4 bytes).

Hex color
#01B205
RGB(1, 178, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.5.

Address
0.1.178.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.5

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 111,109 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 111109 first appears in π at position 92,410 of the decimal expansion (the 92,410ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.