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113,051

113,051 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.).

113,051 (one hundred thirteen thousand fifty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B99B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Lazy Caterer Number Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
150,311
Recamán's sequence
a(53,141) = 113,051
Square (n²)
12,780,528,601
Cube (n³)
1,444,851,538,871,651
Divisor count
2
σ(n) — sum of divisors
113,052
φ(n) — Euler's totient
113,050

Primality

113,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113051
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,051)
1 × 113051
First multiples
113,051 · 226,102 (double) · 339,153 · 452,204 · 565,255 · 678,306 · 791,357 · 904,408 · 1,017,459 · 1,130,510

Sums & aliquot sequence

As consecutive integers: 56,525 + 56,526

Continued fraction of √n

√113,051 = [336; (4, 2, 1, 29, 1, 6, 1, 16, 1, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 18, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand fifty-one
Ordinal
113051st
Binary
11011100110011011
Octal
334633
Hexadecimal
0x1B99B
Base64
Abmb
One's complement
4,294,854,244 (32-bit)
Scientific notation
1.13051 × 10⁵
As a duration
113,051 s = 1 day, 7 hours, 24 minutes, 11 seconds
In other bases
ternary (3) 12202002002
quaternary (4) 123212123
quinary (5) 12104201
senary (6) 2231215
septenary (7) 650411
nonary (9) 182062
undecimal (11) 77a34
duodecimal (12) 5550b
tridecimal (13) 3c5c3
tetradecimal (14) 2d2b1
pentadecimal (15) 2376b
Palindromic in base 13

As an angle

113,051° = 314 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγναʹ
Mayan (base 20)
𝋮·𝋢·𝋬·𝋫
Chinese
一十一萬三千零五十一
Chinese (financial)
壹拾壹萬參仟零伍拾壹
In other modern scripts
Eastern Arabic ١١٣٠٥١ Devanagari ११३०५१ Bengali ১১৩০৫১ Tamil ௧௧௩௦௫௧ Thai ๑๑๓๐๕๑ Tibetan ༡༡༣༠༥༡ Khmer ១១៣០៥១ Lao ໑໑໓໐໕໑ Burmese ၁၁၃၀၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B99B
RGB(1, 185, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.155.

Address
0.1.185.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.155

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 113,051 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.