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133,321

133,321 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.).

133,321 (one hundred thirty-three thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x208C9.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
54
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
123,331
Recamán's sequence
a(35,302) = 133,321
Square (n²)
17,774,489,041
Cube (n³)
2,369,712,653,435,161
Divisor count
2
σ(n) — sum of divisors
133,322
φ(n) — Euler's totient
133,320

Primality

133,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,321)
1 × 133321
First multiples
133,321 · 266,642 (double) · 399,963 · 533,284 · 666,605 · 799,926 · 933,247 · 1,066,568 · 1,199,889 · 1,333,210

Sums & aliquot sequence

As a sum of two squares: 61² + 360²
As consecutive integers: 66,660 + 66,661

Continued fraction of √n

√133,321 = [365; (7, 1, 1, 1, 1, 6, 1, 1, 1, 2, 243, 22, 1, 4, 2, 4, 1, 3, 1, 80, 2, 1, 6, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred twenty-one
Ordinal
133321st
Binary
100000100011001001
Octal
404311
Hexadecimal
0x208C9
Base64
AgjJ
One's complement
4,294,833,974 (32-bit)
Scientific notation
1.33321 × 10⁵
As a duration
133,321 s = 1 day, 13 hours, 2 minutes, 1 second
In other bases
ternary (3) 20202212211
quaternary (4) 200203021
quinary (5) 13231241
senary (6) 2505121
septenary (7) 1063456
nonary (9) 222784
undecimal (11) 91191
duodecimal (12) 651a1
tridecimal (13) 488b6
tetradecimal (14) 3682d
pentadecimal (15) 29781

As an angle

133,321° = 370 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλγτκαʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋡
Chinese
一十三萬三千三百二十一
Chinese (financial)
壹拾參萬參仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٣٣٢١ Devanagari १३३३२१ Bengali ১৩৩৩২১ Tamil ௧௩௩௩௨௧ Thai ๑๓๓๓๒๑ Tibetan ༡༣༣༣༢༡ Khmer ១៣៣៣២១ Lao ໑໓໓໓໒໑ Burmese ၁၃၃၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133319, sexy with 133327.

Unicode codepoint
𠣉
CJK Unified Ideograph-208C9
U+208C9
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 89 (4 bytes).

Hex color
#0208C9
RGB(2, 8, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.201.

Address
0.2.8.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.201

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 133,321 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.