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133,117

133,117 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.).

133,117 (one hundred thirty-three thousand one hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207FD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
711,331
Square (n²)
17,720,135,689
Cube (n³)
2,358,851,302,512,613
Divisor count
2
σ(n) — sum of divisors
133,118
φ(n) — Euler's totient
133,116

Primality

133,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,117)
1 × 133117
First multiples
133,117 · 266,234 (double) · 399,351 · 532,468 · 665,585 · 798,702 · 931,819 · 1,064,936 · 1,198,053 · 1,331,170

Sums & aliquot sequence

As a sum of two squares: 194² + 309²
As consecutive integers: 66,558 + 66,559

Continued fraction of √n

√133,117 = [364; (1, 5, 1, 3, 7, 1, 2, 19, 2, 1, 2, 24, 1, 3, 1, 2, 1, 1, 6, 1, 17, 1, 5, 2, …)]

Representations

In words
one hundred thirty-three thousand one hundred seventeen
Ordinal
133117th
Binary
100000011111111101
Octal
403775
Hexadecimal
0x207FD
Base64
Agf9
One's complement
4,294,834,178 (32-bit)
Scientific notation
1.33117 × 10⁵
As a duration
133,117 s = 1 day, 12 hours, 58 minutes, 37 seconds
In other bases
ternary (3) 20202121021
quaternary (4) 200133331
quinary (5) 13224432
senary (6) 2504141
septenary (7) 1063045
nonary (9) 222537
undecimal (11) 91016
duodecimal (12) 65051
tridecimal (13) 4878a
tetradecimal (14) 36725
pentadecimal (15) 29697

As an angle

133,117° = 369 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγριζʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋱
Chinese
一十三萬三千一百一十七
Chinese (financial)
壹拾參萬參仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٣١١٧ Devanagari १३३११७ Bengali ১৩৩১১৭ Tamil ௧௩௩௧௧௭ Thai ๑๓๓๑๑๗ Tibetan ༡༣༣༡༡༧ Khmer ១៣៣១១៧ Lao ໑໓໓໑໑໗ Burmese ၁၃၃၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133121.

Unicode codepoint
𠟽
CJK Unified Ideograph-207Fd
U+207FD
Other letter (Lo)

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

Hex color
#0207FD
RGB(2, 7, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.253.

Address
0.2.7.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.253

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 133,117 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 133117 first appears in π at position 112,553 of the decimal expansion (the 112,553ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.