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113,093

113,093 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.).

113,093 (one hundred thirteen thousand ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B9C5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
390,311
Recamán's sequence
a(53,241) = 113,093
Square (n²)
12,790,026,649
Cube (n³)
1,446,462,483,815,357
Divisor count
2
σ(n) — sum of divisors
113,094
φ(n) — Euler's totient
113,092

Primality

113,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,093)
1 × 113093
First multiples
113,093 · 226,186 (double) · 339,279 · 452,372 · 565,465 · 678,558 · 791,651 · 904,744 · 1,017,837 · 1,130,930

Sums & aliquot sequence

As a sum of two squares: 97² + 322²
As consecutive integers: 56,546 + 56,547

Continued fraction of √n

√113,093 = [336; (3, 2, 2, 2, 1, 3, 5, 1, 1, 8, 3, 3, 1, 4, 7, 9, 1, 8, 1, 95, 5, 2, 2, 2, …)]

Representations

In words
one hundred thirteen thousand ninety-three
Ordinal
113093rd
Binary
11011100111000101
Octal
334705
Hexadecimal
0x1B9C5
Base64
AbnF
One's complement
4,294,854,202 (32-bit)
Scientific notation
1.13093 × 10⁵
As a duration
113,093 s = 1 day, 7 hours, 24 minutes, 53 seconds
In other bases
ternary (3) 12202010122
quaternary (4) 123213011
quinary (5) 12104333
senary (6) 2231325
septenary (7) 650501
nonary (9) 182118
undecimal (11) 77a72
duodecimal (12) 55545
tridecimal (13) 3c626
tetradecimal (14) 2d301
pentadecimal (15) 23798

As an angle

113,093° = 314 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγϟγʹ
Mayan (base 20)
𝋮·𝋢·𝋮·𝋭
Chinese
一十一萬三千零九十三
Chinese (financial)
壹拾壹萬參仟零玖拾參
In other modern scripts
Eastern Arabic ١١٣٠٩٣ Devanagari ११३०९३ Bengali ১১৩০৯৩ Tamil ௧௧௩௦௯௩ Thai ๑๑๓๐๙๓ Tibetan ༡༡༣༠༩༣ Khmer ១១៣០៩៣ Lao ໑໑໓໐໙໓ Burmese ၁၁၃၀၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113089.

Hex color
#01B9C5
RGB(1, 185, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.197.

Address
0.1.185.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.197

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 113,093 and was likely granted around 1871.

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.