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109,097

109,097 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.).
Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
790,901
Square (n²)
11,902,155,409
Cube (n³)
1,298,489,448,655,673
Divisor count
2
σ(n) — sum of divisors
109,098
φ(n) — Euler's totient
109,096

Primality

109,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 109097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 109,097)
1 × 109097
First multiples
109,097 · 218,194 (double) · 327,291 · 436,388 · 545,485 · 654,582 · 763,679 · 872,776 · 981,873 · 1,090,970

Sums & aliquot sequence

As a sum of two squares: 136² + 301²
As consecutive integers: 54,548 + 54,549

Continued fraction of √n

√109,097 = [330; (3, 2, 1, 5, 2, 1, 3, 2, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 2, 3, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand ninety-seven
Ordinal
109097th
Binary
11010101000101001
Octal
325051
Hexadecimal
0x1AA29
Base64
Aaop
One's complement
4,294,858,198 (32-bit)
Scientific notation
1.09097 × 10⁵
In other bases
ternary (3) 12112122122
quaternary (4) 122220221
quinary (5) 11442342
senary (6) 2201025
septenary (7) 633032
nonary (9) 175578
undecimal (11) 74a6a
duodecimal (12) 53175
tridecimal (13) 3a871
tetradecimal (14) 2ba89
pentadecimal (15) 224d2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρθϟζʹ
Mayan (base 20)
𝋭·𝋬·𝋮·𝋱
Chinese
一十萬九千零九十七
Chinese (financial)
壹拾萬玖仟零玖拾柒
In other modern scripts
Eastern Arabic ١٠٩٠٩٧ Devanagari १०९०९७ Bengali ১০৯০৯৭ Tamil ௧௦௯௦௯௭ Thai ๑๐๙๐๙๗ Tibetan ༡༠༩༠༩༧ Khmer ១០៩០៩៧ Lao ໑໐໙໐໙໗ Burmese ၁၀၉၀၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 109103.

Hex color
#01AA29
RGB(1, 170, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.170.41.

Address
0.1.170.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.170.41

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 109,097 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 109097 first appears in π at position 154,395 of the decimal expansion (the 154,395ordinal-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.