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133,187

133,187 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.).

133,187 (one hundred thirty-three thousand one hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20843.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
781,331
Square (n²)
17,738,776,969
Cube (n³)
2,362,574,488,170,203
Divisor count
2
σ(n) — sum of divisors
133,188
φ(n) — Euler's totient
133,186

Primality

133,187 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133187
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,187)
1 × 133187
First multiples
133,187 · 266,374 (double) · 399,561 · 532,748 · 665,935 · 799,122 · 932,309 · 1,065,496 · 1,198,683 · 1,331,870

Sums & aliquot sequence

As consecutive integers: 66,593 + 66,594

Continued fraction of √n

√133,187 = [364; (1, 18, 4, 1, 3, 1, 1, 3, 6, 1, 4, 7, 3, 7, 2, 4, 6, 1, 1, 2, 16, 1, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand one hundred eighty-seven
Ordinal
133187th
Binary
100000100001000011
Octal
404103
Hexadecimal
0x20843
Base64
AghD
One's complement
4,294,834,108 (32-bit)
Scientific notation
1.33187 × 10⁵
As a duration
133,187 s = 1 day, 12 hours, 59 minutes, 47 seconds
In other bases
ternary (3) 20202200212
quaternary (4) 200201003
quinary (5) 13230222
senary (6) 2504335
septenary (7) 1063205
nonary (9) 222625
undecimal (11) 9107a
duodecimal (12) 650ab
tridecimal (13) 48812
tetradecimal (14) 36775
pentadecimal (15) 296e2

As an angle

133,187° = 369 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρπζʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋧
Chinese
一十三萬三千一百八十七
Chinese (financial)
壹拾參萬參仟壹佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٣١٨٧ Devanagari १३३१८७ Bengali ১৩৩১৮৭ Tamil ௧௩௩௧௮௭ Thai ๑๓๓๑๘๗ Tibetan ༡༣༣༡༨༧ Khmer ១៣៣១៨៧ Lao ໑໓໓໑໘໗ Burmese ၁၃၃၁၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133183.

Unicode codepoint
𠡃
CJK Unified Ideograph-20843
U+20843
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 83 (4 bytes).

Hex color
#020843
RGB(2, 8, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.67.

Address
0.2.8.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.67

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 133,187 and was likely granted around 1872.

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.