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133,691

133,691 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.).

133,691 (one hundred thirty-three thousand six hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A3B.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
196,331
Square (n²)
17,873,283,481
Cube (n³)
2,389,497,141,858,371
Divisor count
2
σ(n) — sum of divisors
133,692
φ(n) — Euler's totient
133,690

Primality

133,691 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133691
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,691)
1 × 133691
First multiples
133,691 · 267,382 (double) · 401,073 · 534,764 · 668,455 · 802,146 · 935,837 · 1,069,528 · 1,203,219 · 1,336,910

Sums & aliquot sequence

As consecutive integers: 66,845 + 66,846

Continued fraction of √n

√133,691 = [365; (1, 1, 1, 3, 5, 2, 16, 1, 1, 4, 1, 1, 8, 3, 1, 5, 10, 1, 2, 1, 6, 11, 9, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred ninety-one
Ordinal
133691st
Binary
100000101000111011
Octal
405073
Hexadecimal
0x20A3B
Base64
Ago7
One's complement
4,294,833,604 (32-bit)
Scientific notation
1.33691 × 10⁵
As a duration
133,691 s = 1 day, 13 hours, 8 minutes, 11 seconds
In other bases
ternary (3) 20210101112
quaternary (4) 200220323
quinary (5) 13234231
senary (6) 2510535
septenary (7) 1064525
nonary (9) 223345
undecimal (11) 91498
duodecimal (12) 6544b
tridecimal (13) 48b0c
tetradecimal (14) 36a15
pentadecimal (15) 2992b

As an angle

133,691° = 371 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγχϟαʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋫
Chinese
一十三萬三千六百九十一
Chinese (financial)
壹拾參萬參仟陸佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٣٦٩١ Devanagari १३३६९१ Bengali ১৩৩৬৯১ Tamil ௧௩௩௬௯௧ Thai ๑๓๓๖๙๑ Tibetan ༡༣༣༦༩༡ Khmer ១៣៣៦៩១ Lao ໑໓໓໖໙໑ Burmese ၁၃၃၆၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133697.

Unicode codepoint
𠨻
CJK Unified Ideograph-20A3B
U+20A3B
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 BB (4 bytes).

Hex color
#020A3B
RGB(2, 10, 59)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.59.

Address
0.2.10.59
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.59

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 133,691 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.