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131,064

131,064 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.).
Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
460,131
Square (n²)
17,177,772,096
Cube (n³)
2,251,387,521,990,144
Divisor count
32
σ(n) — sum of divisors
337,920
φ(n) — Euler's totient
42,336
Sum of prime factors
179

Primality

Prime factorization: 2 3 × 3 × 43 × 127

Nearest primes: 131,063 (−1) · 131,071 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43 · 86 · 127 · 129 · 172 · 254 · 258 · 344 · 381 · 508 · 516 · 762 · 1016 · 1032 · 1524 · 3048 · 5461 · 10922 · 16383 · 21844 · 32766 · 43688 · 65532 (half) · 131064
Aliquot sum (sum of proper divisors): 206,856
Factor pairs (a × b = 131,064)
1 × 131064
2 × 65532
3 × 43688
4 × 32766
6 × 21844
8 × 16383
12 × 10922
24 × 5461
43 × 3048
86 × 1524
127 × 1032
129 × 1016
172 × 762
254 × 516
258 × 508
344 × 381
First multiples
131,064 · 262,128 (double) · 393,192 · 524,256 · 655,320 · 786,384 · 917,448 · 1,048,512 · 1,179,576 · 1,310,640

Sums & aliquot sequence

As consecutive integers: 43,687 + 43,688 + 43,689 8,184 + 8,185 + … + 8,199 3,027 + 3,028 + … + 3,069 2,707 + 2,708 + … + 2,754
Aliquot sequence: 131,064 206,856 435,474 581,178 670,758 792,858 985,254 985,266 1,171,278 1,366,530 2,334,846 2,334,858 2,485,878 2,485,890 5,068,926 6,969,474 8,359,086 — unresolved within range

Continued fraction of √n

√131,064 = [362; (36, 4, 1, 28, 6, 4, 1, 4, 1, 4, 6, 28, 1, 4, 36, 724)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand sixty-four
Ordinal
131064th
Binary
11111111111111000
Octal
377770
Hexadecimal
0x1FFF8
Base64
Af/4
One's complement
4,294,836,231 (32-bit)
Scientific notation
1.31064 × 10⁵
As a duration
131,064 s = 1 day, 12 hours, 24 minutes, 24 seconds
In other bases
ternary (3) 20122210020
quaternary (4) 133333320
quinary (5) 13143224
senary (6) 2450440
septenary (7) 1054053
nonary (9) 218706
undecimal (11) 8a51a
duodecimal (12) 63a20
tridecimal (13) 4786b
tetradecimal (14) 35a9a
pentadecimal (15) 28c79

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαξδʹ
Mayan (base 20)
𝋰·𝋧·𝋭·𝋤
Chinese
一十三萬一千零六十四
Chinese (financial)
壹拾參萬壹仟零陸拾肆
In other modern scripts
Eastern Arabic ١٣١٠٦٤ Devanagari १३१०६४ Bengali ১৩১০৬৪ Tamil ௧௩௧௦௬௪ Thai ๑๓๑๐๖๔ Tibetan ༡༣༡༠༦༤ Khmer ១៣១០៦៤ Lao ໑໓໑໐໖໔ Burmese ၁၃၁၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131064, here are decompositions:

  • 5 + 131059 = 131064
  • 23 + 131041 = 131064
  • 41 + 131023 = 131064
  • 53 + 131011 = 131064
  • 83 + 130981 = 131064
  • 107 + 130957 = 131064
  • 137 + 130927 = 131064
  • 191 + 130873 = 131064

Showing the first eight; more decompositions exist.

Hex color
#01FFF8
RGB(1, 255, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.248.

Address
0.1.255.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.248

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 131,064 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.