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133,481

133,481 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.).

133,481 (one hundred thirty-three thousand four hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20969.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
184,331
Recamán's sequence
a(35,622) = 133,481
Square (n²)
17,817,177,361
Cube (n³)
2,378,254,651,323,641
Divisor count
2
σ(n) — sum of divisors
133,482
φ(n) — Euler's totient
133,480

Primality

133,481 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133481
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,481)
1 × 133481
First multiples
133,481 · 266,962 (double) · 400,443 · 533,924 · 667,405 · 800,886 · 934,367 · 1,067,848 · 1,201,329 · 1,334,810

Sums & aliquot sequence

As a sum of two squares: 16² + 365²
As consecutive integers: 66,740 + 66,741

Continued fraction of √n

√133,481 = [365; (2, 1, 5, 1, 3, 1, 90, 1, 1, 5, 4, 1, 6, 45, 1, 1, 10, 1, 10, 3, 22, 1, 1, 22, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred eighty-one
Ordinal
133481st
Binary
100000100101101001
Octal
404551
Hexadecimal
0x20969
Base64
Aglp
One's complement
4,294,833,814 (32-bit)
Scientific notation
1.33481 × 10⁵
As a duration
133,481 s = 1 day, 13 hours, 4 minutes, 41 seconds
In other bases
ternary (3) 20210002202
quaternary (4) 200211221
quinary (5) 13232411
senary (6) 2505545
septenary (7) 1064105
nonary (9) 223082
undecimal (11) 91317
duodecimal (12) 652b5
tridecimal (13) 489aa
tetradecimal (14) 36905
pentadecimal (15) 2983b

As an angle

133,481° = 370 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγυπαʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋡
Chinese
一十三萬三千四百八十一
Chinese (financial)
壹拾參萬參仟肆佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٣٤٨١ Devanagari १३३४८१ Bengali ১৩৩৪৮১ Tamil ௧௩௩௪௮௧ Thai ๑๓๓๔๘๑ Tibetan ༡༣༣༤༨༡ Khmer ១៣៣៤៨១ Lao ໑໓໓໔໘໑ Burmese ၁၃၃၄၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠥩
CJK Unified Ideograph-20969
U+20969
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 A9 (4 bytes).

Hex color
#020969
RGB(2, 9, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.105.

Address
0.2.9.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.105

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 133,481 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.