number.wiki
Live analysis

133,919

133,919 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.).

133,919 (one hundred thirty-three thousand nine hundred nineteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B1F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
729
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
919,331
Square (n²)
17,934,298,561
Cube (n³)
2,401,743,328,990,559
Divisor count
2
σ(n) — sum of divisors
133,920
φ(n) — Euler's totient
133,918

Primality

133,919 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133919
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,919)
1 × 133919
First multiples
133,919 · 267,838 (double) · 401,757 · 535,676 · 669,595 · 803,514 · 937,433 · 1,071,352 · 1,205,271 · 1,339,190

Sums & aliquot sequence

As consecutive integers: 66,959 + 66,960

Continued fraction of √n

√133,919 = [365; (1, 18, 1, 3, 1, 1, 2, 9, 2, 365, 2, 9, 2, 1, 1, 3, 1, 18, 1, 730)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred nineteen
Ordinal
133919th
Binary
100000101100011111
Octal
405437
Hexadecimal
0x20B1F
Base64
Agsf
One's complement
4,294,833,376 (32-bit)
Scientific notation
1.33919 × 10⁵
As a duration
133,919 s = 1 day, 13 hours, 11 minutes, 59 seconds
In other bases
ternary (3) 20210200222
quaternary (4) 200230133
quinary (5) 13241134
senary (6) 2511555
septenary (7) 1065302
nonary (9) 223628
undecimal (11) 91685
duodecimal (12) 655bb
tridecimal (13) 48c56
tetradecimal (14) 36b39
pentadecimal (15) 29a2e

As an angle

133,919° = 371 × 360° + 359°
359° ≈ 6.266 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡιθʹ
Mayan (base 20)
𝋰·𝋮·𝋯·𝋳
Chinese
一十三萬三千九百一十九
Chinese (financial)
壹拾參萬參仟玖佰壹拾玖
In other modern scripts
Eastern Arabic ١٣٣٩١٩ Devanagari १३३९१९ Bengali ১৩৩৯১৯ Tamil ௧௩௩௯௧௯ Thai ๑๓๓๙๑๙ Tibetan ༡༣༣༩༡༩ Khmer ១៣៣៩១៩ Lao ໑໓໓໙໑໙ Burmese ၁၃၃၉၁၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠬟
CJK Unified Ideograph-20B1F
U+20B1F
Other letter (Lo)

UTF-8 encoding: F0 A0 AC 9F (4 bytes).

Hex color
#020B1F
RGB(2, 11, 31)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.31.

Address
0.2.11.31
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.31

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 133,919 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 133919 first appears in π at position 676,033 of the decimal expansion (the 676,033ordinal-suffix:rd 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.