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131,288

131,288 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.).
Deficient Number Odious Number Pernicious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
384
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
882,131
Square (n²)
17,236,538,944
Cube (n³)
2,262,950,724,879,872
Divisor count
8
σ(n) — sum of divisors
246,180
φ(n) — Euler's totient
65,640
Sum of prime factors
16,417

Primality

Prime factorization: 2 3 × 16411

Nearest primes: 131,267 (−21) · 131,293 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16411 · 32822 · 65644 (half) · 131288
Aliquot sum (sum of proper divisors): 114,892
Factor pairs (a × b = 131,288)
1 × 131288
2 × 65644
4 × 32822
8 × 16411
First multiples
131,288 · 262,576 (double) · 393,864 · 525,152 · 656,440 · 787,728 · 919,016 · 1,050,304 · 1,181,592 · 1,312,880

Sums & aliquot sequence

As consecutive integers: 8,198 + 8,199 + … + 8,213
Aliquot sequence: 131,288 114,892 86,176 83,546 45,274 22,640 30,184 41,816 36,604 27,460 30,248 29,752 26,048 31,864 36,536 31,984 30,016 — unresolved within range

Continued fraction of √n

√131,288 = [362; (2, 1, 30, 1, 5, 3, 1, 1, 2, 2, 1, 2, 1, 3, 4, 1, 3, 1, 89, 1, 3, 1, 4, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand two hundred eighty-eight
Ordinal
131288th
Binary
100000000011011000
Octal
400330
Hexadecimal
0x200D8
Base64
AgDY
One's complement
4,294,836,007 (32-bit)
Scientific notation
1.31288 × 10⁵
As a duration
131,288 s = 1 day, 12 hours, 28 minutes, 8 seconds
In other bases
ternary (3) 20200002112
quaternary (4) 200003120
quinary (5) 13200123
senary (6) 2451452
septenary (7) 1054523
nonary (9) 220075
undecimal (11) 8a703
duodecimal (12) 63b88
tridecimal (13) 479b1
tetradecimal (14) 35bba
pentadecimal (15) 28d78

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλασπηʹ
Mayan (base 20)
𝋰·𝋨·𝋤·𝋨
Chinese
一十三萬一千二百八十八
Chinese (financial)
壹拾參萬壹仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٣١٢٨٨ Devanagari १३१२८८ Bengali ১৩১২৮৮ Tamil ௧௩௧௨௮௮ Thai ๑๓๑๒๘๘ Tibetan ༡༣༡༢༨༨ Khmer ១៣១២៨៨ Lao ໑໓໑໒໘໘ Burmese ၁၃၁၂၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131288, here are decompositions:

  • 37 + 131251 = 131288
  • 67 + 131221 = 131288
  • 139 + 131149 = 131288
  • 229 + 131059 = 131288
  • 277 + 131011 = 131288
  • 307 + 130981 = 131288
  • 331 + 130957 = 131288
  • 601 + 130687 = 131288

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃘
CJK Unified Ideograph-200D8
U+200D8
Other letter (Lo)

UTF-8 encoding: F0 A0 83 98 (4 bytes).

Hex color
#0200D8
RGB(2, 0, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.216.

Address
0.2.0.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.216

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 131,288 and was likely granted around 1872.

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