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133,811

133,811 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.).

133,811 (one hundred thirty-three thousand eight hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20AB3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
118,331
Square (n²)
17,905,383,721
Cube (n³)
2,395,937,301,090,731
Divisor count
2
σ(n) — sum of divisors
133,812
φ(n) — Euler's totient
133,810

Primality

133,811 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133811
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,811)
1 × 133811
First multiples
133,811 · 267,622 (double) · 401,433 · 535,244 · 669,055 · 802,866 · 936,677 · 1,070,488 · 1,204,299 · 1,338,110

Sums & aliquot sequence

As consecutive integers: 66,905 + 66,906

Continued fraction of √n

√133,811 = [365; (1, 4, 21, 3, 6, 1, 3, 2, 3, 1, 2, 145, 1, 24, 4, 3, 1, 3, 1, 6, 2, 4, 1, 6, …)]

Representations

In words
one hundred thirty-three thousand eight hundred eleven
Ordinal
133811th
Binary
100000101010110011
Octal
405263
Hexadecimal
0x20AB3
Base64
Agqz
One's complement
4,294,833,484 (32-bit)
Scientific notation
1.33811 × 10⁵
As a duration
133,811 s = 1 day, 13 hours, 10 minutes, 11 seconds
In other bases
ternary (3) 20210112222
quaternary (4) 200222303
quinary (5) 13240221
senary (6) 2511255
septenary (7) 1065056
nonary (9) 223488
undecimal (11) 91597
duodecimal (12) 6552b
tridecimal (13) 48ba2
tetradecimal (14) 36a9d
pentadecimal (15) 299ab

As an angle

133,811° = 371 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ρλγωιαʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋫
Chinese
一十三萬三千八百一十一
Chinese (financial)
壹拾參萬參仟捌佰壹拾壹
In other modern scripts
Eastern Arabic ١٣٣٨١١ Devanagari १३३८११ Bengali ১৩৩৮১১ Tamil ௧௩௩௮௧௧ Thai ๑๓๓๘๑๑ Tibetan ༡༣༣༨༡༡ Khmer ១៣៣៨១១ Lao ໑໓໓໘໑໑ Burmese ၁၃၃၈၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133813.

Unicode codepoint
𠪳
CJK Unified Ideograph-20Ab3
U+20AB3
Other letter (Lo)

UTF-8 encoding: F0 A0 AA B3 (4 bytes).

Hex color
#020AB3
RGB(2, 10, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.179.

Address
0.2.10.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.179

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 133,811 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 133811 first appears in π at position 146,642 of the decimal expansion (the 146,642ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.