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109,013

109,013 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 Emirp Evil Number Prime Pythagorean Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
310,901
Square (n²)
11,883,834,169
Cube (n³)
1,295,492,414,265,197
Divisor count
2
σ(n) — sum of divisors
109,014
φ(n) — Euler's totient
109,012

Primality

109,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 109013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 109,013)
1 × 109013
First multiples
109,013 · 218,026 (double) · 327,039 · 436,052 · 545,065 · 654,078 · 763,091 · 872,104 · 981,117 · 1,090,130

Sums & aliquot sequence

As a sum of two squares: 73² + 322²
As consecutive integers: 54,506 + 54,507

Continued fraction of √n

√109,013 = [330; (5, 1, 5, 2, 1, 22, 1, 8, 1, 8, 1, 4, 3, 3, 17, 1, 1, 5, 28, 1, 1, 8, 14, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand thirteen
Ordinal
109013th
Binary
11010100111010101
Octal
324725
Hexadecimal
0x1A9D5
Base64
AanV
One's complement
4,294,858,282 (32-bit)
Scientific notation
1.09013 × 10⁵
In other bases
ternary (3) 12112112112
quaternary (4) 122213111
quinary (5) 11442023
senary (6) 2200405
septenary (7) 632552
nonary (9) 175475
undecimal (11) 749a3
duodecimal (12) 53105
tridecimal (13) 3a808
tetradecimal (14) 2ba29
pentadecimal (15) 22478

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρθιγʹ
Mayan (base 20)
𝋭·𝋬·𝋪·𝋭
Chinese
一十萬九千零一十三
Chinese (financial)
壹拾萬玖仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٩٠١٣ Devanagari १०९०१३ Bengali ১০৯০১৩ Tamil ௧௦௯௦௧௩ Thai ๑๐๙๐๑๓ Tibetan ༡༠༩༠༡༣ Khmer ១០៩០១៣ Lao ໑໐໙໐໑໓ Burmese ၁၀၉၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A9D5
RGB(1, 169, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.213.

Address
0.1.169.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.213

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 109,013 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 109013 first appears in π at position 484,753 of the decimal expansion (the 484,753ordinal-suffix:rd 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.