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133,519

133,519 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.).

133,519 (one hundred thirty-three thousand five hundred nineteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2098F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
405
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
915,331
Square (n²)
17,827,323,361
Cube (n³)
2,380,286,387,837,359
Divisor count
2
σ(n) — sum of divisors
133,520
φ(n) — Euler's totient
133,518

Primality

133,519 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133519
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,519)
1 × 133519
First multiples
133,519 · 267,038 (double) · 400,557 · 534,076 · 667,595 · 801,114 · 934,633 · 1,068,152 · 1,201,671 · 1,335,190

Sums & aliquot sequence

As consecutive integers: 66,759 + 66,760

Continued fraction of √n

√133,519 = [365; (2, 2, 15, 2, 18, 1, 2, 1, 23, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 7, 2, 2, 3, …)]

Representations

In words
one hundred thirty-three thousand five hundred nineteen
Ordinal
133519th
Binary
100000100110001111
Octal
404617
Hexadecimal
0x2098F
Base64
AgmP
One's complement
4,294,833,776 (32-bit)
Scientific notation
1.33519 × 10⁵
As a duration
133,519 s = 1 day, 13 hours, 5 minutes, 19 seconds
In other bases
ternary (3) 20210011011
quaternary (4) 200212033
quinary (5) 13233034
senary (6) 2510051
septenary (7) 1064161
nonary (9) 223134
undecimal (11) 91351
duodecimal (12) 65327
tridecimal (13) 48a09
tetradecimal (14) 36931
pentadecimal (15) 29864

As an angle

133,519° = 370 × 360° + 319°
319° ≈ 5.568 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφιθʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋳
Chinese
一十三萬三千五百一十九
Chinese (financial)
壹拾參萬參仟伍佰壹拾玖
In other modern scripts
Eastern Arabic ١٣٣٥١٩ Devanagari १३३५१९ Bengali ১৩৩৫১৯ Tamil ௧௩௩௫௧௯ Thai ๑๓๓๕๑๙ Tibetan ༡༣༣༥༡༩ Khmer ១៣៣៥១៩ Lao ໑໓໓໕໑໙ Burmese ၁၃၃၅၁၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠦏
CJK Unified Ideograph-2098F
U+2098F
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 8F (4 bytes).

Hex color
#02098F
RGB(2, 9, 143)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.143.

Address
0.2.9.143
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.143

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 133,519 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.