number.wiki
Live analysis

116,113

116,113 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.).

116,113 (one hundred sixteen thousand one hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C591.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
18
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
311,611
Square (n²)
13,482,228,769
Cube (n³)
1,565,462,029,054,897
Divisor count
2
σ(n) — sum of divisors
116,114
φ(n) — Euler's totient
116,112

Primality

116,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,113)
1 × 116113
First multiples
116,113 · 232,226 (double) · 348,339 · 464,452 · 580,565 · 696,678 · 812,791 · 928,904 · 1,045,017 · 1,161,130

Sums & aliquot sequence

As a sum of two squares: 137² + 312²
As consecutive integers: 58,056 + 58,057

Continued fraction of √n

√116,113 = [340; (1, 3, 17, 4, 2, 5, 10, 2, 6, 1, 1, 1, 1, 1, 5, 2, 6, 10, 1, 1, 1, 27, 1, 2, …)]

Representations

In words
one hundred sixteen thousand one hundred thirteen
Ordinal
116113th
Binary
11100010110010001
Octal
342621
Hexadecimal
0x1C591
Base64
AcWR
One's complement
4,294,851,182 (32-bit)
Scientific notation
1.16113 × 10⁵
As a duration
116,113 s = 1 day, 8 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 12220021111
quaternary (4) 130112101
quinary (5) 12203423
senary (6) 2253321
septenary (7) 662344
nonary (9) 186244
undecimal (11) 7a268
duodecimal (12) 57241
tridecimal (13) 40b0a
tetradecimal (14) 3045b
pentadecimal (15) 2460d

As an angle

116,113° = 322 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριϛριγʹ
Mayan (base 20)
𝋮·𝋪·𝋥·𝋭
Chinese
一十一萬六千一百一十三
Chinese (financial)
壹拾壹萬陸仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١١٦١١٣ Devanagari ११६११३ Bengali ১১৬১১৩ Tamil ௧௧௬௧௧௩ Thai ๑๑๖๑๑๓ Tibetan ༡༡༦༡༡༣ Khmer ១១៦១១៣ Lao ໑໑໖໑໑໓ Burmese ၁၁၆၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 116107.

Hex color
#01C591
RGB(1, 197, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.145.

Address
0.1.197.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.145

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 116,113 and was likely granted around 1871.

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

Position in π

The digit sequence 116113 first appears in π at position 919,601 of the decimal expansion (the 919,601ordinal-suffix:st 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.