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101,999

101,999 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.).

101,999 (one hundred one thousand nine hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18E6F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
999,101
Flips to (rotate 180°)
666,101
Square (n²)
10,403,796,001
Cube (n³)
1,061,176,788,305,999
Divisor count
2
σ(n) — sum of divisors
102,000
φ(n) — Euler's totient
101,998

Primality

101,999 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101999
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,999)
1 × 101999
First multiples
101,999 · 203,998 (double) · 305,997 · 407,996 · 509,995 · 611,994 · 713,993 · 815,992 · 917,991 · 1,019,990

Sums & aliquot sequence

As consecutive integers: 50,999 + 51,000

Continued fraction of √n

√101,999 = [319; (2, 1, 2, 6, 1, 4, 20, 2, 1, 1, 45, 37, 1, 1, 4, 2, 1, 2, 2, 2, 1, 7, 1, 12, …)]

Representations

In words
one hundred one thousand nine hundred ninety-nine
Ordinal
101999th
Binary
11000111001101111
Octal
307157
Hexadecimal
0x18E6F
Base64
AY5v
One's complement
4,294,865,296 (32-bit)
Scientific notation
1.01999 × 10⁵
As a duration
101,999 s = 1 day, 4 hours, 19 minutes, 59 seconds
In other bases
ternary (3) 12011220202
quaternary (4) 120321233
quinary (5) 11230444
senary (6) 2104115
septenary (7) 603242
nonary (9) 164822
undecimal (11) 6a6a7
duodecimal (12) 4b03b
tridecimal (13) 37571
tetradecimal (14) 29259
pentadecimal (15) 2034e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραϡϟθʹ
Mayan (base 20)
𝋬·𝋮·𝋳·𝋳
Chinese
一十萬一千九百九十九
Chinese (financial)
壹拾萬壹仟玖佰玖拾玖
In other modern scripts
Eastern Arabic ١٠١٩٩٩ Devanagari १०१९९९ Bengali ১০১৯৯৯ Tamil ௧௦௧௯௯௯ Thai ๑๐๑๙๙๙ Tibetan ༡༠༡༩༩༩ Khmer ១០១៩៩៩ Lao ໑໐໑໙໙໙ Burmese ၁၀၁၉၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 102001.

Hex color
#018E6F
RGB(1, 142, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.111.

Address
0.1.142.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.111

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 101,999 and was likely granted around 1870.

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

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.