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Number

10,091

10,091 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Flippable Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
19,001
Flips to (rotate 180°)
16,001
Recamán's sequence
a(4,969) = 10,091
Square (n²)
101,828,281
Cube (n³)
1,027,549,183,571
Divisor count
2
σ(n) — sum of divisors
10,092
φ(n) — Euler's totient
10,090

Primality

10,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,091)
1 × 10091
First multiples
10,091 · 20,182 (double) · 30,273 · 40,364 · 50,455 · 60,546 · 70,637 · 80,728 · 90,819 · 100,910

Sums & aliquot sequence

As consecutive integers: 5,045 + 5,046

Representations

In words
ten thousand ninety-one
Ordinal
10091st
Binary
10011101101011
Octal
23553
Hexadecimal
0x276B
Base64
J2s=
One's complement
55,444 (16-bit)
In other bases
ternary (3) 111211202
quaternary (4) 2131223
quinary (5) 310331
senary (6) 114415
septenary (7) 41264
nonary (9) 14752
undecimal (11) 7644
duodecimal (12) 5a0b
tridecimal (13) 4793
tetradecimal (14) 396b
pentadecimal (15) 2ecb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϟαʹ
Mayan (base 20)
𝋡·𝋥·𝋤·𝋫
Chinese
一萬零九十一
Chinese (financial)
壹萬零玖拾壹
In other modern scripts
Eastern Arabic ١٠٠٩١ Devanagari १००९१ Bengali ১০০৯১ Tamil ௧௦௦௯௧ Thai ๑๐๐๙๑ Tibetan ༡༠༠༩༡ Khmer ១០០៩១ Lao ໑໐໐໙໑ Burmese ၁၀၀၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,091 = 4
e — Euler's number (e)
Digit 10,091 = 2
φ — Golden ratio (φ)
Digit 10,091 = 0
√2 — Pythagoras's (√2)
Digit 10,091 = 9
ln 2 — Natural log of 2
Digit 10,091 = 2
γ — Euler-Mascheroni (γ)
Digit 10,091 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,079 (gap of 12)
  • Next prime: 10,093 (gap of 2)

Pair status: twin with 10093.

Unicode codepoint
Medium Flattened Right Parenthesis Ornament
U+276B
Close punctuation (Pe)

UTF-8 encoding: E2 9D AB (3 bytes).

Hex color
#00276B
RGB(0, 39, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.107.

Address
0.0.39.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.107

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 10091 first appears in π at position 146,080 of the decimal expansion (the 146,080ordinal-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.