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131,280

131,280 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 Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
82,131
Square (n²)
17,234,438,400
Cube (n³)
2,262,537,073,152,000
Divisor count
40
σ(n) — sum of divisors
407,712
φ(n) — Euler's totient
34,944
Sum of prime factors
563

Primality

Prime factorization: 2 4 × 3 × 5 × 547

Nearest primes: 131,267 (−13) · 131,293 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 547 · 1094 · 1641 · 2188 · 2735 · 3282 · 4376 · 5470 · 6564 · 8205 · 8752 · 10940 · 13128 · 16410 · 21880 · 26256 · 32820 · 43760 · 65640 (half) · 131280
Aliquot sum (sum of proper divisors): 276,432
Factor pairs (a × b = 131,280)
1 × 131280
2 × 65640
3 × 43760
4 × 32820
5 × 26256
6 × 21880
8 × 16410
10 × 13128
12 × 10940
15 × 8752
16 × 8205
20 × 6564
24 × 5470
30 × 4376
40 × 3282
48 × 2735
60 × 2188
80 × 1641
120 × 1094
240 × 547
First multiples
131,280 · 262,560 (double) · 393,840 · 525,120 · 656,400 · 787,680 · 918,960 · 1,050,240 · 1,181,520 · 1,312,800

Sums & aliquot sequence

As consecutive integers: 43,759 + 43,760 + 43,761 26,254 + 26,255 + 26,256 + 26,257 + 26,258 8,745 + 8,746 + … + 8,759 4,087 + 4,088 + … + 4,118
Aliquot sequence: 131,280 276,432 494,352 889,550 765,106 382,556 298,684 230,516 261,388 201,284 150,970 130,118 83,722 45,050 45,346 35,294 25,234 — unresolved within range

Continued fraction of √n

√131,280 = [362; (3, 14, 2, 5, 7, 2, 4, 11, 10, 8, 1, 1, 8, 1, 1, 8, 10, 11, 4, 2, 7, 5, 2, 14, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand two hundred eighty
Ordinal
131280th
Binary
100000000011010000
Octal
400320
Hexadecimal
0x200D0
Base64
AgDQ
One's complement
4,294,836,015 (32-bit)
Scientific notation
1.3128 × 10⁵
As a duration
131,280 s = 1 day, 12 hours, 28 minutes
In other bases
ternary (3) 20200002020
quaternary (4) 200003100
quinary (5) 13200110
senary (6) 2451440
septenary (7) 1054512
nonary (9) 220066
undecimal (11) 8a6a6
duodecimal (12) 63b80
tridecimal (13) 479a6
tetradecimal (14) 35bb2
pentadecimal (15) 28d70

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλασπʹ
Mayan (base 20)
𝋰·𝋨·𝋤·𝋠
Chinese
一十三萬一千二百八十
Chinese (financial)
壹拾參萬壹仟貳佰捌拾
In other modern scripts
Eastern Arabic ١٣١٢٨٠ Devanagari १३१२८० Bengali ১৩১২৮০ Tamil ௧௩௧௨௮௦ Thai ๑๓๑๒๘๐ Tibetan ༡༣༡༢༨༠ Khmer ១៣១២៨០ Lao ໑໓໑໒໘໐ Burmese ၁၃၁၂၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131280, here are decompositions:

  • 13 + 131267 = 131280
  • 29 + 131251 = 131280
  • 31 + 131249 = 131280
  • 59 + 131221 = 131280
  • 67 + 131213 = 131280
  • 109 + 131171 = 131280
  • 131 + 131149 = 131280
  • 137 + 131143 = 131280

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃐
CJK Unified Ideograph-200D0
U+200D0
Other letter (Lo)

UTF-8 encoding: F0 A0 83 90 (4 bytes).

Hex color
#0200D0
RGB(2, 0, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.208.

Address
0.2.0.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.208

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 131,280 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 131280 first appears in π at position 21,691 of the decimal expansion (the 21,691ordinal-suffix:st 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.