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133,319

133,319 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.).

133,319 (one hundred thirty-three thousand three hundred nineteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x208C7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
913,331
Recamán's sequence
a(35,298) = 133,319
Square (n²)
17,773,955,761
Cube (n³)
2,369,606,008,100,759
Divisor count
2
σ(n) — sum of divisors
133,320
φ(n) — Euler's totient
133,318

Primality

133,319 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133319
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,319)
1 × 133319
First multiples
133,319 · 266,638 (double) · 399,957 · 533,276 · 666,595 · 799,914 · 933,233 · 1,066,552 · 1,199,871 · 1,333,190

Sums & aliquot sequence

As consecutive integers: 66,659 + 66,660

Continued fraction of √n

√133,319 = [365; (7, 1, 3, 3, 2, 1, 4, 72, 1, 4, 2, 1, 9, 1, 2, 1, 11, 29, 7, 1, 103, 2, 4, 4, …)]

Representations

In words
one hundred thirty-three thousand three hundred nineteen
Ordinal
133319th
Binary
100000100011000111
Octal
404307
Hexadecimal
0x208C7
Base64
AgjH
One's complement
4,294,833,976 (32-bit)
Scientific notation
1.33319 × 10⁵
As a duration
133,319 s = 1 day, 13 hours, 1 minute, 59 seconds
In other bases
ternary (3) 20202212202
quaternary (4) 200203013
quinary (5) 13231234
senary (6) 2505115
septenary (7) 1063454
nonary (9) 222782
undecimal (11) 9118a
duodecimal (12) 6519b
tridecimal (13) 488b4
tetradecimal (14) 3682b
pentadecimal (15) 2977e

As an angle

133,319° = 370 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτιθʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋳
Chinese
一十三萬三千三百一十九
Chinese (financial)
壹拾參萬參仟參佰壹拾玖
In other modern scripts
Eastern Arabic ١٣٣٣١٩ Devanagari १३३३१९ Bengali ১৩৩৩১৯ Tamil ௧௩௩௩௧௯ Thai ๑๓๓๓๑๙ Tibetan ༡༣༣༣༡༩ Khmer ១៣៣៣១៩ Lao ໑໓໓໓໑໙ Burmese ၁၃၃၃၁၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133321.

Unicode codepoint
𠣇
CJK Unified Ideograph-208C7
U+208C7
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 87 (4 bytes).

Hex color
#0208C7
RGB(2, 8, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.199.

Address
0.2.8.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.199

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 133,319 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.