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114,113

114,113 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.).

114,113 (one hundred fourteen 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, 0x1BDC1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
12
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
311,411
Recamán's sequence
a(57,013) = 114,113
Square (n²)
13,021,776,769
Cube (n³)
1,485,954,012,440,897
Divisor count
2
σ(n) — sum of divisors
114,114
φ(n) — Euler's totient
114,112

Primality

114,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 114113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 114,113)
1 × 114113
First multiples
114,113 · 228,226 (double) · 342,339 · 456,452 · 570,565 · 684,678 · 798,791 · 912,904 · 1,027,017 · 1,141,130

Sums & aliquot sequence

As a sum of two squares: 212² + 263²
As consecutive integers: 57,056 + 57,057

Continued fraction of √n

√114,113 = [337; (1, 4, 6, 3, 2, 1, 1, 1, 15, 1, 5, 1, 1, 1, 1, 1, 2, 4, 1, 8, 1, 2, 2, 1, …)]

Representations

In words
one hundred fourteen thousand one hundred thirteen
Ordinal
114113th
Binary
11011110111000001
Octal
336701
Hexadecimal
0x1BDC1
Base64
Ab3B
One's complement
4,294,853,182 (32-bit)
Scientific notation
1.14113 × 10⁵
As a duration
114,113 s = 1 day, 7 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 12210112102
quaternary (4) 123313001
quinary (5) 12122423
senary (6) 2240145
septenary (7) 653456
nonary (9) 183472
undecimal (11) 7880a
duodecimal (12) 56055
tridecimal (13) 3cc2c
tetradecimal (14) 2d82d
pentadecimal (15) 23c28

As an angle

114,113° = 316 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριδριγʹ
Mayan (base 20)
𝋮·𝋥·𝋥·𝋭
Chinese
一十一萬四千一百一十三
Chinese (financial)
壹拾壹萬肆仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١١٤١١٣ Devanagari ११४११३ Bengali ১১৪১১৩ Tamil ௧௧௪௧௧௩ Thai ๑๑๔๑๑๓ Tibetan ༡༡༤༡༡༣ Khmer ១១៤១១៣ Lao ໑໑໔໑໑໓ Burmese ၁၁၄၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BDC1
RGB(1, 189, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.193.

Address
0.1.189.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.193

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 114,113 and was likely granted around 1871.

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

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.