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133,130

133,130 is a composite number, even.

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.).

133,130 (one hundred thirty-three thousand one hundred thirty) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,313. Written other ways, in hexadecimal, 0x2080A.

Cube-Free Deficient Number Evil Number Gapful Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
31,331
Square (n²)
17,723,596,900
Cube (n³)
2,359,542,455,297,000
Divisor count
8
σ(n) — sum of divisors
239,652
φ(n) — Euler's totient
53,248
Sum of prime factors
13,320

Primality

Prime factorization: 2 × 5 × 13313

Nearest primes: 133,121 (−9) · 133,153 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13313 · 26626 · 66565 (half) · 133130
Aliquot sum (sum of proper divisors): 106,522
Factor pairs (a × b = 133,130)
1 × 133130
2 × 66565
5 × 26626
10 × 13313
First multiples
133,130 · 266,260 (double) · 399,390 · 532,520 · 665,650 · 798,780 · 931,910 · 1,065,040 · 1,198,170 · 1,331,300

Sums & aliquot sequence

As a sum of two squares: 53² + 361² = 257² + 259²
As consecutive integers: 33,281 + 33,282 + 33,283 + 33,284 26,624 + 26,625 + 26,626 + 26,627 + 26,628 6,647 + 6,648 + … + 6,666
Aliquot sequence: 133,130 106,522 76,430 61,162 32,474 20,026 14,534 9,622 5,714 2,860 4,196 3,154 1,886 1,138 572 604 460 — unresolved within range

Continued fraction of √n

√133,130 = [364; (1, 6, 1, 2, 6, 1, 1, 6, 2, 1, 6, 1, 728)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred thirty
Ordinal
133130th
Binary
100000100000001010
Octal
404012
Hexadecimal
0x2080A
Base64
AggK
One's complement
4,294,834,165 (32-bit)
Scientific notation
1.3313 × 10⁵
As a duration
133,130 s = 1 day, 12 hours, 58 minutes, 50 seconds
In other bases
ternary (3) 20202121202
quaternary (4) 200200022
quinary (5) 13230010
senary (6) 2504202
septenary (7) 1063064
nonary (9) 222552
undecimal (11) 91028
duodecimal (12) 65062
tridecimal (13) 4879a
tetradecimal (14) 36734
pentadecimal (15) 296a5

As an angle

133,130° = 369 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλγρλʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋪
Chinese
一十三萬三千一百三十
Chinese (financial)
壹拾參萬參仟壹佰參拾
In other modern scripts
Eastern Arabic ١٣٣١٣٠ Devanagari १३३१३० Bengali ১৩৩১৩০ Tamil ௧௩௩௧௩௦ Thai ๑๓๓๑๓๐ Tibetan ༡༣༣༡༣༠ Khmer ១៣៣១៣០ Lao ໑໓໓໑໓໐ Burmese ၁၃၃၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133130, here are decompositions:

  • 13 + 133117 = 133130
  • 43 + 133087 = 133130
  • 61 + 133069 = 133130
  • 79 + 133051 = 133130
  • 97 + 133033 = 133130
  • 163 + 132967 = 133130
  • 181 + 132949 = 133130
  • 271 + 132859 = 133130

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠊
CJK Unified Ideograph-2080A
U+2080A
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 8A (4 bytes).

Hex color
#02080A
RGB(2, 8, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.10.

Address
0.2.8.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.10

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 133,130 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 133130 first appears in π at position 623,062 of the decimal expansion (the 623,062ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.