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110,909

110,909 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.).

110,909 (one hundred ten thousand nine hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B13D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
909,011
Flips to (rotate 180°)
606,011
Recamán's sequence
a(49,421) = 110,909
Square (n²)
12,300,806,281
Cube (n³)
1,364,270,123,819,429
Divisor count
2
σ(n) — sum of divisors
110,910
φ(n) — Euler's totient
110,908

Primality

110,909 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 110909
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 110,909)
1 × 110909
First multiples
110,909 · 221,818 (double) · 332,727 · 443,636 · 554,545 · 665,454 · 776,363 · 887,272 · 998,181 · 1,109,090

Sums & aliquot sequence

As a sum of two squares: 85² + 322²
As consecutive integers: 55,454 + 55,455

Continued fraction of √n

√110,909 = [333; (33, 3, 3, 6, 2, 1, 3, 2, 4, 1, 7, 1, 18, 6, 1, 22, 1, 13, 4, 1, 2, 5, 2, 3, …)]

Representations

In words
one hundred ten thousand nine hundred nine
Ordinal
110909th
Binary
11011000100111101
Octal
330475
Hexadecimal
0x1B13D
Base64
AbE9
One's complement
4,294,856,386 (32-bit)
Scientific notation
1.10909 × 10⁵
As a duration
110,909 s = 1 day, 6 hours, 48 minutes, 29 seconds
In other bases
ternary (3) 12122010202
quaternary (4) 123010331
quinary (5) 12022114
senary (6) 2213245
septenary (7) 641231
nonary (9) 178122
undecimal (11) 76367
duodecimal (12) 54225
tridecimal (13) 3b636
tetradecimal (14) 2c5c1
pentadecimal (15) 22cde
Palindromic in base 11

As an angle

110,909° = 308 × 360° + 29°
29° ≈ 0.506 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϡθʹ
Mayan (base 20)
𝋭·𝋱·𝋥·𝋩
Chinese
一十一萬零九百零九
Chinese (financial)
壹拾壹萬零玖佰零玖
In other modern scripts
Eastern Arabic ١١٠٩٠٩ Devanagari ११०९०९ Bengali ১১০৯০৯ Tamil ௧௧௦௯௦௯ Thai ๑๑๐๙๐๙ Tibetan ༡༡༠༩༠༩ Khmer ១១០៩០៩ Lao ໑໑໐໙໐໙ Burmese ၁၁၀၉၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B13D
RGB(1, 177, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.61.

Address
0.1.177.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.61

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 110,909 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 110909 first appears in π at position 545,041 of the decimal expansion (the 545,041ordinal-suffix:st 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.