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Live analysis

108,013

108,013 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 Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
310,801
Recamán's sequence
a(46,965) = 108,013
Square (n²)
11,666,808,169
Cube (n³)
1,260,166,950,758,197
Divisor count
2
σ(n) — sum of divisors
108,014
φ(n) — Euler's totient
108,012

Primality

108,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 108013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 108,013)
1 × 108013
First multiples
108,013 · 216,026 (double) · 324,039 · 432,052 · 540,065 · 648,078 · 756,091 · 864,104 · 972,117 · 1,080,130

Sums & aliquot sequence

As a sum of two squares: 83² + 318²
As consecutive integers: 54,006 + 54,007

Representations

In words
one hundred eight thousand thirteen
Ordinal
108013th
Binary
11010010111101101
Octal
322755
Hexadecimal
0x1A5ED
Base64
AaXt
One's complement
4,294,859,282 (32-bit)
In other bases
ternary (3) 12111011111
quaternary (4) 122113231
quinary (5) 11424023
senary (6) 2152021
septenary (7) 626623
nonary (9) 174144
undecimal (11) 74174
duodecimal (12) 52611
tridecimal (13) 3a219
tetradecimal (14) 2b513
pentadecimal (15) 2200d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρηιγʹ
Mayan (base 20)
𝋭·𝋪·𝋠·𝋭
Chinese
一十萬八千零一十三
Chinese (financial)
壹拾萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٨٠١٣ Devanagari १०८०१३ Bengali ১০৮০১৩ Tamil ௧௦௮௦௧௩ Thai ๑๐๘๐๑๓ Tibetan ༡༠༨༠༡༣ Khmer ១០៨០១៣ Lao ໑໐໘໐໑໓ Burmese ၁၀၈၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 108011.

Hex color
#01A5ED
RGB(1, 165, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.237.

Address
0.1.165.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.237

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 108,013 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 108013 first appears in π at position 567,711 of the decimal expansion (the 567,711ordinal-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.