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114,013

114,013 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.).

114,013 (one hundred fourteen thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BD5D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
310,411
Recamán's sequence
a(56,813) = 114,013
Square (n²)
12,998,964,169
Cube (n³)
1,482,050,901,800,197
Divisor count
2
σ(n) — sum of divisors
114,014
φ(n) — Euler's totient
114,012

Primality

114,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 114013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 114,013)
1 × 114013
First multiples
114,013 · 228,026 (double) · 342,039 · 456,052 · 570,065 · 684,078 · 798,091 · 912,104 · 1,026,117 · 1,140,130

Sums & aliquot sequence

As a sum of two squares: 213² + 262²
As consecutive integers: 57,006 + 57,007

Continued fraction of √n

√114,013 = [337; (1, 1, 1, 12, 3, 8, 4, 2, 9, 15, 4, 7, 1, 3, 1, 5, 2, 2, 74, 1, 1, 1, 2, 3, …)]

Representations

In words
one hundred fourteen thousand thirteen
Ordinal
114013th
Binary
11011110101011101
Octal
336535
Hexadecimal
0x1BD5D
Base64
Ab1d
One's complement
4,294,853,282 (32-bit)
Scientific notation
1.14013 × 10⁵
As a duration
114,013 s = 1 day, 7 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 12210101201
quaternary (4) 123311131
quinary (5) 12122023
senary (6) 2235501
septenary (7) 653254
nonary (9) 183351
undecimal (11) 78729
duodecimal (12) 55b91
tridecimal (13) 3cb83
tetradecimal (14) 2d79b
pentadecimal (15) 23bad

As an angle

114,013° = 316 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριδιγʹ
Mayan (base 20)
𝋮·𝋥·𝋠·𝋭
Chinese
一十一萬四千零一十三
Chinese (financial)
壹拾壹萬肆仟零壹拾參
In other modern scripts
Eastern Arabic ١١٤٠١٣ Devanagari ११४०१३ Bengali ১১৪০১৩ Tamil ௧௧௪௦௧௩ Thai ๑๑๔๐๑๓ Tibetan ༡༡༤༠༡༣ Khmer ១១៤០១៣ Lao ໑໑໔໐໑໓ Burmese ၁၁၄၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BD5D
RGB(1, 189, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.93.

Address
0.1.189.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.93

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 114,013 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.