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131,522

131,522 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.).

131,522 (one hundred thirty-one thousand five hundred twenty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 65,761. Written other ways, in hexadecimal, 0x201C2.

Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
225,131
Recamán's sequence
a(229,328) = 131,522
Square (n²)
17,298,036,484
Cube (n³)
2,275,072,354,448,648
Divisor count
4
σ(n) — sum of divisors
197,286
φ(n) — Euler's totient
65,760
Sum of prime factors
65,763

Primality

Prime factorization: 2 × 65761

Nearest primes: 131,519 (−3) · 131,543 (+21)

Divisors & multiples

All divisors (4)
1 · 2 · 65761 (half) · 131522
Aliquot sum (sum of proper divisors): 65,764
Factor pairs (a × b = 131,522)
1 × 131522
2 × 65761
First multiples
131,522 · 263,044 (double) · 394,566 · 526,088 · 657,610 · 789,132 · 920,654 · 1,052,176 · 1,183,698 · 1,315,220

Sums & aliquot sequence

As a sum of two squares: 241² + 271²
As consecutive integers: 32,879 + 32,880 + 32,881 + 32,882
Aliquot sequence: 131,522 65,764 52,424 45,886 22,946 20,254 15,026 9,598 4,802 3,601 291 101 1 0 — terminates at zero

Continued fraction of √n

√131,522 = [362; (1, 1, 1, 15, 9, 1, 6, 1, 4, 2, 2, 1, 1, 1, 14, 1, 4, 31, 3, 362, 3, 31, 4, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred twenty-two
Ordinal
131522nd
Binary
100000000111000010
Octal
400702
Hexadecimal
0x201C2
Base64
AgHC
One's complement
4,294,835,773 (32-bit)
Scientific notation
1.31522 × 10⁵
As a duration
131,522 s = 1 day, 12 hours, 32 minutes, 2 seconds
In other bases
ternary (3) 20200102012
quaternary (4) 200013002
quinary (5) 13202042
senary (6) 2452522
septenary (7) 1055306
nonary (9) 220365
undecimal (11) 8a8a6
duodecimal (12) 64142
tridecimal (13) 47b31
tetradecimal (14) 35d06
pentadecimal (15) 28e82
Palindromic in base 15

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαφκβʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋢
Chinese
一十三萬一千五百二十二
Chinese (financial)
壹拾參萬壹仟伍佰貳拾貳
In other modern scripts
Eastern Arabic ١٣١٥٢٢ Devanagari १३१५२२ Bengali ১৩১৫২২ Tamil ௧௩௧௫௨௨ Thai ๑๓๑๕๒๒ Tibetan ༡༣༡༥༢༢ Khmer ១៣១៥២២ Lao ໑໓໑໕໒໒ Burmese ၁၃၁၅၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131522, here are decompositions:

  • 3 + 131519 = 131522
  • 43 + 131479 = 131522
  • 73 + 131449 = 131522
  • 109 + 131413 = 131522
  • 151 + 131371 = 131522
  • 211 + 131311 = 131522
  • 229 + 131293 = 131522
  • 271 + 131251 = 131522

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇂
CJK Unified Ideograph-201C2
U+201C2
Other letter (Lo)

UTF-8 encoding: F0 A0 87 82 (4 bytes).

Hex color
#0201C2
RGB(2, 1, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.194.

Address
0.2.1.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.194

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 131,522 and was likely granted around 1872.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.