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108,011

108,011 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.).

108,011 (one hundred eight thousand eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A5EB.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
110,801
Flips to (rotate 180°)
110,801
Recamán's sequence
a(46,961) = 108,011
Square (n²)
11,666,376,121
Cube (n³)
1,260,096,951,205,331
Divisor count
2
σ(n) — sum of divisors
108,012
φ(n) — Euler's totient
108,010

Primality

108,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 108011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 108,011)
1 × 108011
First multiples
108,011 · 216,022 (double) · 324,033 · 432,044 · 540,055 · 648,066 · 756,077 · 864,088 · 972,099 · 1,080,110

Sums & aliquot sequence

As consecutive integers: 54,005 + 54,006

Continued fraction of √n

√108,011 = [328; (1, 1, 1, 6, 9, 9, 3, 1, 1, 3, 1, 1, 18, 4, 1, 1, 2, 1, 4, 1, 327, 1, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand eleven
Ordinal
108011th
Binary
11010010111101011
Octal
322753
Hexadecimal
0x1A5EB
Base64
AaXr
One's complement
4,294,859,284 (32-bit)
Scientific notation
1.08011 × 10⁵
As a duration
108,011 s = 1 day, 6 hours, 11 seconds
In other bases
ternary (3) 12111011102
quaternary (4) 122113223
quinary (5) 11424021
senary (6) 2152015
septenary (7) 626621
nonary (9) 174142
undecimal (11) 74172
duodecimal (12) 5260b
tridecimal (13) 3a217
tetradecimal (14) 2b511
pentadecimal (15) 2200b

As an angle

108,011° = 300 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 · 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺
Greek (Milesian)
͵ρηιαʹ
Mayan (base 20)
𝋭·𝋪·𝋠·𝋫
Chinese
十萬八千零一十一
Chinese (financial)
壹拾萬捌仟零壹拾壹
In other modern scripts
Eastern Arabic ١٠٨٠١١ Devanagari १०८०११ Bengali ১০৮০১১ Tamil ௧௦௮௦௧௧ Thai ๑๐๘๐๑๑ Tibetan ༡༠༨༠༡༡ Khmer ១០៨០១១ Lao ໑໐໘໐໑໑ Burmese ၁၀၈၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 108013, cousin with 108007.

Hex color
#01A5EB
RGB(1, 165, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.235.

Address
0.1.165.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.235

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 108,011 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 108011 first appears in π at position 16,216 of the decimal expansion (the 16,216ordinal-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.

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.