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113,171

113,171 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.).

113,171 (one hundred thirteen thousand one hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BA13.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
21
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
171,311
Recamán's sequence
a(246,234) = 113,171
Square (n²)
12,807,675,241
Cube (n³)
1,449,457,414,699,211
Divisor count
2
σ(n) — sum of divisors
113,172
φ(n) — Euler's totient
113,170

Primality

113,171 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113171
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,171)
1 × 113171
First multiples
113,171 · 226,342 (double) · 339,513 · 452,684 · 565,855 · 679,026 · 792,197 · 905,368 · 1,018,539 · 1,131,710

Sums & aliquot sequence

As consecutive integers: 56,585 + 56,586

Continued fraction of √n

√113,171 = [336; (2, 2, 4, 17, 1, 22, 3, 1, 10, 1, 1, 1, 6, 2, 2, 1, 5, 1, 1, 1, 2, 1, 18, 2, …)]

Representations

In words
one hundred thirteen thousand one hundred seventy-one
Ordinal
113171st
Binary
11011101000010011
Octal
335023
Hexadecimal
0x1BA13
Base64
AboT
One's complement
4,294,854,124 (32-bit)
Scientific notation
1.13171 × 10⁵
As a duration
113,171 s = 1 day, 7 hours, 26 minutes, 11 seconds
In other bases
ternary (3) 12202020112
quaternary (4) 123220103
quinary (5) 12110141
senary (6) 2231535
septenary (7) 650642
nonary (9) 182215
undecimal (11) 78033
duodecimal (12) 555ab
tridecimal (13) 3c686
tetradecimal (14) 2d359
pentadecimal (15) 237eb

As an angle

113,171° = 314 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγροαʹ
Mayan (base 20)
𝋮·𝋢·𝋲·𝋫
Chinese
一十一萬三千一百七十一
Chinese (financial)
壹拾壹萬參仟壹佰柒拾壹
In other modern scripts
Eastern Arabic ١١٣١٧١ Devanagari ११३१७१ Bengali ১১৩১৭১ Tamil ௧௧௩௧௭௧ Thai ๑๑๓๑๗๑ Tibetan ༡༡༣༡༧༡ Khmer ១១៣១៧១ Lao ໑໑໓໑໗໑ Burmese ၁၁၃၁၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113173, cousin with 113167.

Hex color
#01BA13
RGB(1, 186, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.19.

Address
0.1.186.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.19

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 113,171 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.