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133,033

133,033 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.).

133,033 (one hundred thirty-three thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207A9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
330,331
Square (n²)
17,697,779,089
Cube (n³)
2,354,388,645,546,937
Divisor count
2
σ(n) — sum of divisors
133,034
φ(n) — Euler's totient
133,032

Primality

133,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,033)
1 × 133033
First multiples
133,033 · 266,066 (double) · 399,099 · 532,132 · 665,165 · 798,198 · 931,231 · 1,064,264 · 1,197,297 · 1,330,330

Sums & aliquot sequence

As a sum of two squares: 243² + 272²
As consecutive integers: 66,516 + 66,517

Continued fraction of √n

√133,033 = [364; (1, 2, 1, 4, 55, 1, 9, 3, 2, 2, 1, 3, 1, 1, 1, 1, 4, 2, 5, 4, 30, 6, 2, 2, …)]

Representations

In words
one hundred thirty-three thousand thirty-three
Ordinal
133033rd
Binary
100000011110101001
Octal
403651
Hexadecimal
0x207A9
Base64
Agep
One's complement
4,294,834,262 (32-bit)
Scientific notation
1.33033 × 10⁵
As a duration
133,033 s = 1 day, 12 hours, 57 minutes, 13 seconds
In other bases
ternary (3) 20202111011
quaternary (4) 200132221
quinary (5) 13224113
senary (6) 2503521
septenary (7) 1062565
nonary (9) 222434
undecimal (11) 90a4a
duodecimal (12) 64ba1
tridecimal (13) 48724
tetradecimal (14) 366a5
pentadecimal (15) 2963d

As an angle

133,033° = 369 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγλγʹ
Mayan (base 20)
𝋰·𝋬·𝋫·𝋭
Chinese
一十三萬三千零三十三
Chinese (financial)
壹拾參萬參仟零參拾參
In other modern scripts
Eastern Arabic ١٣٣٠٣٣ Devanagari १३३०३३ Bengali ১৩৩০৩৩ Tamil ௧௩௩௦௩௩ Thai ๑๓๓๐๓๓ Tibetan ༡༣༣༠༣༣ Khmer ១៣៣០៣៣ Lao ໑໓໓໐໓໓ Burmese ၁၃၃၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133039.

Unicode codepoint
𠞩
CJK Unified Ideograph-207A9
U+207A9
Other letter (Lo)

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

Hex color
#0207A9
RGB(2, 7, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.169.

Address
0.2.7.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.169

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 133,033 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 133033 first appears in π at position 201,600 of the decimal expansion (the 201,600ordinal-suffix:th 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.