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113,189

113,189 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.).

113,189 (one hundred thirteen thousand one hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BA25.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
216
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
981,311
Recamán's sequence
a(246,198) = 113,189
Square (n²)
12,811,749,721
Cube (n³)
1,450,149,139,170,269
Divisor count
2
σ(n) — sum of divisors
113,190
φ(n) — Euler's totient
113,188

Primality

113,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,189)
1 × 113189
First multiples
113,189 · 226,378 (double) · 339,567 · 452,756 · 565,945 · 679,134 · 792,323 · 905,512 · 1,018,701 · 1,131,890

Sums & aliquot sequence

As a sum of two squares: 142² + 305²
As consecutive integers: 56,594 + 56,595

Continued fraction of √n

√113,189 = [336; (2, 3, 2, 1, 1, 3, 3, 9, 1, 2, 1, 4, 2, 1, 1, 4, 1, 5, 33, 2, 8, 2, 1, 3, …)]

Representations

In words
one hundred thirteen thousand one hundred eighty-nine
Ordinal
113189th
Binary
11011101000100101
Octal
335045
Hexadecimal
0x1BA25
Base64
Abol
One's complement
4,294,854,106 (32-bit)
Scientific notation
1.13189 × 10⁵
As a duration
113,189 s = 1 day, 7 hours, 26 minutes, 29 seconds
In other bases
ternary (3) 12202021012
quaternary (4) 123220211
quinary (5) 12110224
senary (6) 2232005
septenary (7) 650666
nonary (9) 182235
undecimal (11) 7804a
duodecimal (12) 55605
tridecimal (13) 3c69b
tetradecimal (14) 2d36d
pentadecimal (15) 2380e

As an angle

113,189° = 314 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρπθʹ
Mayan (base 20)
𝋮·𝋢·𝋳·𝋩
Chinese
一十一萬三千一百八十九
Chinese (financial)
壹拾壹萬參仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ١١٣١٨٩ Devanagari ११३१८९ Bengali ১১৩১৮৯ Tamil ௧௧௩௧௮௯ Thai ๑๑๓๑๘๙ Tibetan ༡༡༣༡༨༩ Khmer ១១៣១៨៩ Lao ໑໑໓໑໘໙ Burmese ၁၁၃၁၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BA25
RGB(1, 186, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.37.

Address
0.1.186.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.37

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 113,189 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 113189 first appears in π at position 327,220 of the decimal expansion (the 327,220ordinal-suffix:th 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.