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133,310

133,310 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.).

133,310 (one hundred thirty-three thousand three hundred ten) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,331. Written other ways, in hexadecimal, 0x208BE.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence 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
13,331
Recamán's sequence
a(35,280) = 133,310
Square (n²)
17,771,556,100
Cube (n³)
2,369,126,143,691,000
Divisor count
8
σ(n) — sum of divisors
239,976
φ(n) — Euler's totient
53,320
Sum of prime factors
13,338

Primality

Prime factorization: 2 × 5 × 13331

Nearest primes: 133,303 (−7) · 133,319 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13331 · 26662 · 66655 (half) · 133310
Aliquot sum (sum of proper divisors): 106,666
Factor pairs (a × b = 133,310)
1 × 133310
2 × 66655
5 × 26662
10 × 13331
First multiples
133,310 · 266,620 (double) · 399,930 · 533,240 · 666,550 · 799,860 · 933,170 · 1,066,480 · 1,199,790 · 1,333,100

Sums & aliquot sequence

As consecutive integers: 33,326 + 33,327 + 33,328 + 33,329 26,660 + 26,661 + 26,662 + 26,663 + 26,664 6,656 + 6,657 + … + 6,675
Aliquot sequence: 133,310 106,666 86,294 53,146 26,576 29,968 28,126 22,274 17,854 9,506 7,252 7,910 8,506 4,256 5,824 8,400 22,352 — unresolved within range

Continued fraction of √n

√133,310 = [365; (8, 1, 1, 2, 3, 2, 4, 3, 3, 1, 2, 1, 1, 1, 2, 4, 6, 2, 2, 3, 1, 1, 5, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred ten
Ordinal
133310th
Binary
100000100010111110
Octal
404276
Hexadecimal
0x208BE
Base64
Agi+
One's complement
4,294,833,985 (32-bit)
Scientific notation
1.3331 × 10⁵
As a duration
133,310 s = 1 day, 13 hours, 1 minute, 50 seconds
In other bases
ternary (3) 20202212102
quaternary (4) 200202332
quinary (5) 13231220
senary (6) 2505102
septenary (7) 1063442
nonary (9) 222772
undecimal (11) 91181
duodecimal (12) 65192
tridecimal (13) 488a8
tetradecimal (14) 36822
pentadecimal (15) 29775

As an angle

133,310° = 370 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλγτιʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋪
Chinese
一十三萬三千三百一十
Chinese (financial)
壹拾參萬參仟參佰壹拾
In other modern scripts
Eastern Arabic ١٣٣٣١٠ Devanagari १३३३१० Bengali ১৩৩৩১০ Tamil ௧௩௩௩௧௦ Thai ๑๓๓๓๑๐ Tibetan ༡༣༣༣༡༠ Khmer ១៣៣៣១០ Lao ໑໓໓໓໑໐ Burmese ၁၃၃၃၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133310, here are decompositions:

  • 7 + 133303 = 133310
  • 31 + 133279 = 133310
  • 97 + 133213 = 133310
  • 109 + 133201 = 133310
  • 127 + 133183 = 133310
  • 157 + 133153 = 133310
  • 193 + 133117 = 133310
  • 223 + 133087 = 133310

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢾
CJK Unified Ideograph-208Be
U+208BE
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 BE (4 bytes).

Hex color
#0208BE
RGB(2, 8, 190)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.190.

Address
0.2.8.190
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.190

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 133,310 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 133310 first appears in π at position 154,352 of the decimal expansion (the 154,352ordinal-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.