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109,133

109,133 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 Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
331,901
Square (n²)
11,910,011,689
Cube (n³)
1,299,775,305,655,637
Divisor count
2
σ(n) — sum of divisors
109,134
φ(n) — Euler's totient
109,132

Primality

109,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 109133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 109,133)
1 × 109133
First multiples
109,133 · 218,266 (double) · 327,399 · 436,532 · 545,665 · 654,798 · 763,931 · 873,064 · 982,197 · 1,091,330

Sums & aliquot sequence

As a sum of two squares: 122² + 307²
As consecutive integers: 54,566 + 54,567

Continued fraction of √n

√109,133 = [330; (2, 1, 5, 34, 1, 1, 2, 15, 1, 2, 1, 1, 11, 1, 8, 2, 1, 1, 2, 8, 1, 11, 1, 1, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand one hundred thirty-three
Ordinal
109133rd
Binary
11010101001001101
Octal
325115
Hexadecimal
0x1AA4D
Base64
AapN
One's complement
4,294,858,162 (32-bit)
Scientific notation
1.09133 × 10⁵
In other bases
ternary (3) 12112200222
quaternary (4) 122221031
quinary (5) 11443013
senary (6) 2201125
septenary (7) 633113
nonary (9) 175628
undecimal (11) 74aa2
duodecimal (12) 531a5
tridecimal (13) 3a89b
tetradecimal (14) 2bab3
pentadecimal (15) 22508

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρθρλγʹ
Mayan (base 20)
𝋭·𝋬·𝋰·𝋭
Chinese
一十萬九千一百三十三
Chinese (financial)
壹拾萬玖仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٠٩١٣٣ Devanagari १०९१३३ Bengali ১০৯১৩৩ Tamil ௧௦௯௧௩௩ Thai ๑๐๙๑๓๓ Tibetan ༡༠༩༡༣༣ Khmer ១០៩១៣៣ Lao ໑໐໙໑໓໓ Burmese ၁၀၉၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 109139.

Hex color
#01AA4D
RGB(1, 170, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.170.77.

Address
0.1.170.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.170.77

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 109,133 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 109133 first appears in π at position 737,492 of the decimal expansion (the 737,492ordinal-suffix:nd 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.