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131,300

131,300 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 Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
3,131
Square (n²)
17,239,690,000
Cube (n³)
2,263,571,297,000,000
Divisor count
36
σ(n) — sum of divisors
309,876
φ(n) — Euler's totient
48,000
Sum of prime factors
128

Primality

Prime factorization: 2 2 × 5 2 × 13 × 101

Nearest primes: 131,297 (−3) · 131,303 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 25 · 26 · 50 · 52 · 65 · 100 · 101 · 130 · 202 · 260 · 325 · 404 · 505 · 650 · 1010 · 1300 · 1313 · 2020 · 2525 · 2626 · 5050 · 5252 · 6565 · 10100 · 13130 · 26260 · 32825 · 65650 (half) · 131300
Aliquot sum (sum of proper divisors): 178,576
Factor pairs (a × b = 131,300)
1 × 131300
2 × 65650
4 × 32825
5 × 26260
10 × 13130
13 × 10100
20 × 6565
25 × 5252
26 × 5050
50 × 2626
52 × 2525
65 × 2020
100 × 1313
101 × 1300
130 × 1010
202 × 650
260 × 505
325 × 404
First multiples
131,300 · 262,600 (double) · 393,900 · 525,200 · 656,500 · 787,800 · 919,100 · 1,050,400 · 1,181,700 · 1,313,000

Sums & aliquot sequence

As a sum of two squares: 16² + 362² = 56² + 358² = 86² + 352² = 154² + 328²
As consecutive integers: 26,258 + 26,259 + 26,260 + 26,261 + 26,262 16,409 + 16,410 + … + 16,416 10,094 + 10,095 + … + 10,106 5,240 + 5,241 + … + 5,264
Aliquot sequence: 131,300 178,576 167,446 92,474 46,240 69,806 51,154 25,580 28,180 31,040 43,636 32,734 20,186 10,096 9,496 8,324 6,250 — unresolved within range

Continued fraction of √n

√131,300 = [362; (2, 1, 4, 1, 6, 2, 2, 1, 3, 2, 1, 28, 3, 2, 1, 1, 180, 1, 1, 2, 3, 28, 1, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred
Ordinal
131300th
Binary
100000000011100100
Octal
400344
Hexadecimal
0x200E4
Base64
AgDk
One's complement
4,294,835,995 (32-bit)
Scientific notation
1.313 × 10⁵
As a duration
131,300 s = 1 day, 12 hours, 28 minutes, 20 seconds
In other bases
ternary (3) 20200002222
quaternary (4) 200003210
quinary (5) 13200200
senary (6) 2451512
septenary (7) 1054541
nonary (9) 220088
undecimal (11) 8a714
duodecimal (12) 63b98
tridecimal (13) 479c0
tetradecimal (14) 35bc8
pentadecimal (15) 28d85

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢
Greek (Milesian)
͵ρλατʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋠
Chinese
一十三萬一千三百
Chinese (financial)
壹拾參萬壹仟參佰
In other modern scripts
Eastern Arabic ١٣١٣٠٠ Devanagari १३१३०० Bengali ১৩১৩০০ Tamil ௧௩௧௩௦௦ Thai ๑๓๑๓๐๐ Tibetan ༡༣༡༣༠༠ Khmer ១៣១៣០០ Lao ໑໓໑໓໐໐ Burmese ၁၃၁၃၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131300, here are decompositions:

  • 3 + 131297 = 131300
  • 7 + 131293 = 131300
  • 79 + 131221 = 131300
  • 97 + 131203 = 131300
  • 151 + 131149 = 131300
  • 157 + 131143 = 131300
  • 199 + 131101 = 131300
  • 229 + 131071 = 131300

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃤
CJK Unified Ideograph-200E4
U+200E4
Other letter (Lo)

UTF-8 encoding: F0 A0 83 A4 (4 bytes).

Hex color
#0200E4
RGB(2, 0, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.228.

Address
0.2.0.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.228

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 131,300 and was likely granted around 1872.

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