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133,097

133,097 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.).

133,097 (one hundred thirty-three thousand ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207E9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
790,331
Square (n²)
17,714,811,409
Cube (n³)
2,357,788,254,103,673
Divisor count
2
σ(n) — sum of divisors
133,098
φ(n) — Euler's totient
133,096

Primality

133,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,097)
1 × 133097
First multiples
133,097 · 266,194 (double) · 399,291 · 532,388 · 665,485 · 798,582 · 931,679 · 1,064,776 · 1,197,873 · 1,330,970

Sums & aliquot sequence

As a sum of two squares: 229² + 284²
As consecutive integers: 66,548 + 66,549

Continued fraction of √n

√133,097 = [364; (1, 4, 1, 2, 2, 1, 4, 1, 728)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand ninety-seven
Ordinal
133097th
Binary
100000011111101001
Octal
403751
Hexadecimal
0x207E9
Base64
Agfp
One's complement
4,294,834,198 (32-bit)
Scientific notation
1.33097 × 10⁵
As a duration
133,097 s = 1 day, 12 hours, 58 minutes, 17 seconds
In other bases
ternary (3) 20202120112
quaternary (4) 200133221
quinary (5) 13224342
senary (6) 2504105
septenary (7) 1063016
nonary (9) 222515
undecimal (11) 90aa8
duodecimal (12) 65035
tridecimal (13) 48773
tetradecimal (14) 3670d
pentadecimal (15) 29682

As an angle

133,097° = 369 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϟζʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋱
Chinese
一十三萬三千零九十七
Chinese (financial)
壹拾參萬參仟零玖拾柒
In other modern scripts
Eastern Arabic ١٣٣٠٩٧ Devanagari १३३०९७ Bengali ১৩৩০৯৭ Tamil ௧௩௩௦௯௭ Thai ๑๓๓๐๙๗ Tibetan ༡༣༣༠༩༧ Khmer ១៣៣០៩៧ Lao ໑໓໓໐໙໗ Burmese ၁၃၃၀၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133103.

Unicode codepoint
𠟩
CJK Unified Ideograph-207E9
U+207E9
Other letter (Lo)

UTF-8 encoding: F0 A0 9F A9 (4 bytes).

Hex color
#0207E9
RGB(2, 7, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.233.

Address
0.2.7.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.233

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 133,097 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 133097 first appears in π at position 181,173 of the decimal expansion (the 181,173ordinal-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.