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Number

11,113

11,113 is a prime, odd.

11,113 (eleven thousand one hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2B69.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
3
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
31,111
Recamán's sequence
a(174,033) = 11,113
Square (n²)
123,498,769
Cube (n³)
1,372,441,819,897
Divisor count
2
σ(n) — sum of divisors
11,114
φ(n) — Euler's totient
11,112

Primality

11,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,113)
1 × 11113
First multiples
11,113 · 22,226 (double) · 33,339 · 44,452 · 55,565 · 66,678 · 77,791 · 88,904 · 100,017 · 111,130

Sums & aliquot sequence

As a sum of two squares: 72² + 77²
As consecutive integers: 5,556 + 5,557

Continued fraction of √n

√11,113 = [105; (2, 2, 1, 1, 3, 1, 9, 3, 1, 7, 19, 26, 3, 3, 4, 10, 1, 6, 2, 1, 3, 1, 1, 1, …)]

Representations

In words
eleven thousand one hundred thirteen
Ordinal
11113th
Binary
10101101101001
Octal
25551
Hexadecimal
0x2B69
Base64
K2k=
One's complement
54,422 (16-bit)
Scientific notation
1.1113 × 10⁴
As a duration
11,113 s = 3 hours, 5 minutes, 13 seconds
In other bases
ternary (3) 120020121
quaternary (4) 2231221
quinary (5) 323423
senary (6) 123241
septenary (7) 44254
nonary (9) 16217
undecimal (11) 8393
duodecimal (12) 6521
tridecimal (13) 509b
tetradecimal (14) 409b
pentadecimal (15) 345d

As an angle

11,113° = 30 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιαριγʹ
Mayan (base 20)
𝋡·𝋧·𝋯·𝋭
Chinese
一萬一千一百一十三
Chinese (financial)
壹萬壹仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١١١١٣ Devanagari ११११३ Bengali ১১১১৩ Tamil ௧௧௧௧௩ Thai ๑๑๑๑๓ Tibetan ༡༡༡༡༣ Khmer ១១១១៣ Lao ໑໑໑໑໓ Burmese ၁၁၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 11,113 = 8
e — Euler's number (e)
Digit 11,113 = 8
φ — Golden ratio (φ)
Digit 11,113 = 8
√2 — Pythagoras's (√2)
Digit 11,113 = 2
ln 2 — Natural log of 2
Digit 11,113 = 3
γ — Euler-Mascheroni (γ)
Digit 11,113 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,093 (gap of 20)
  • Next prime: 11,117 (gap of 4)

Pair status: cousin with 11117.

Unicode codepoint
South West Triangle-Headed Arrow
U+2B69
Other symbol (So)

UTF-8 encoding: E2 AD A9 (3 bytes).

Hex color
#002B69
RGB(0, 43, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.105.

Address
0.0.43.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.43.105

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

Musical pitch

Heard as a frequency, 11,113 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +28¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -8¢)
Position in π

The digit sequence 11113 first appears in π at position 16,732 of the decimal expansion (the 16,732ordinal-suffix:nd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.