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113,209

113,209 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.).

113,209 (one hundred thirteen thousand two hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BA39.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
902,311
Recamán's sequence
a(246,158) = 113,209
Square (n²)
12,816,277,681
Cube (n³)
1,450,917,979,988,329
Divisor count
2
σ(n) — sum of divisors
113,210
φ(n) — Euler's totient
113,208

Primality

113,209 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113209
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,209)
1 × 113209
First multiples
113,209 · 226,418 (double) · 339,627 · 452,836 · 566,045 · 679,254 · 792,463 · 905,672 · 1,018,881 · 1,132,090

Sums & aliquot sequence

As a sum of two squares: 75² + 328²
As consecutive integers: 56,604 + 56,605

Continued fraction of √n

√113,209 = [336; (2, 6, 1, 2, 1, 3, 1, 3, 2, 3, 1, 8, 1, 43, 1, 27, 16, 2, 1, 1, 1, 6, 2, 5, …)]

Representations

In words
one hundred thirteen thousand two hundred nine
Ordinal
113209th
Binary
11011101000111001
Octal
335071
Hexadecimal
0x1BA39
Base64
Abo5
One's complement
4,294,854,086 (32-bit)
Scientific notation
1.13209 × 10⁵
As a duration
113,209 s = 1 day, 7 hours, 26 minutes, 49 seconds
In other bases
ternary (3) 12202021221
quaternary (4) 123220321
quinary (5) 12110314
senary (6) 2232041
septenary (7) 651025
nonary (9) 182257
undecimal (11) 78068
duodecimal (12) 55621
tridecimal (13) 3c6b5
tetradecimal (14) 2d385
pentadecimal (15) 23824

As an angle

113,209° = 314 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγσθʹ
Mayan (base 20)
𝋮·𝋣·𝋠·𝋩
Chinese
一十一萬三千二百零九
Chinese (financial)
壹拾壹萬參仟貳佰零玖
In other modern scripts
Eastern Arabic ١١٣٢٠٩ Devanagari ११३२०९ Bengali ১১৩২০৯ Tamil ௧௧௩௨௦௯ Thai ๑๑๓๒๐๙ Tibetan ༡༡༣༢༠༩ Khmer ១១៣២០៩ Lao ໑໑໓໒໐໙ Burmese ၁၁၃၂၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113213.

Hex color
#01BA39
RGB(1, 186, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.57.

Address
0.1.186.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.57

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 113,209 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.