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133,069

133,069 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.).

133,069 (one hundred thirty-three thousand sixty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207CD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
960,331
Square (n²)
17,707,358,761
Cube (n³)
2,356,300,522,967,509
Divisor count
2
σ(n) — sum of divisors
133,070
φ(n) — Euler's totient
133,068

Primality

133,069 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133069
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,069)
1 × 133069
First multiples
133,069 · 266,138 (double) · 399,207 · 532,276 · 665,345 · 798,414 · 931,483 · 1,064,552 · 1,197,621 · 1,330,690

Sums & aliquot sequence

As a sum of two squares: 45² + 362²
As consecutive integers: 66,534 + 66,535

Continued fraction of √n

√133,069 = [364; (1, 3, 1, 2, 9, 2, 1, 2, 3, 11, 1, 6, 3, 3, 1, 1, 3, 2, 19, 1, 4, 1, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand sixty-nine
Ordinal
133069th
Binary
100000011111001101
Octal
403715
Hexadecimal
0x207CD
Base64
AgfN
One's complement
4,294,834,226 (32-bit)
Scientific notation
1.33069 × 10⁵
As a duration
133,069 s = 1 day, 12 hours, 57 minutes, 49 seconds
In other bases
ternary (3) 20202112111
quaternary (4) 200133031
quinary (5) 13224234
senary (6) 2504021
septenary (7) 1062646
nonary (9) 222474
undecimal (11) 90a82
duodecimal (12) 65011
tridecimal (13) 48751
tetradecimal (14) 366cd
pentadecimal (15) 29664

As an angle

133,069° = 369 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγξθʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋩
Chinese
一十三萬三千零六十九
Chinese (financial)
壹拾參萬參仟零陸拾玖
In other modern scripts
Eastern Arabic ١٣٣٠٦٩ Devanagari १३३०६९ Bengali ১৩৩০৬৯ Tamil ௧௩௩௦௬௯ Thai ๑๓๓๐๖๙ Tibetan ༡༣༣༠༦༩ Khmer ១៣៣០៦៩ Lao ໑໓໓໐໖໙ Burmese ၁၃၃၀၆၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133073.

Unicode codepoint
𠟍
CJK Unified Ideograph-207Cd
U+207CD
Other letter (Lo)

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

Hex color
#0207CD
RGB(2, 7, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.205.

Address
0.2.7.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.205

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 133,069 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 133069 first appears in π at position 451,550 of the decimal expansion (the 451,550ordinal-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.