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131,561

131,561 is a prime, odd.

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.).

131,561 (one hundred thirty-one thousand five hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x201E9.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
90
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
165,131
Recamán's sequence
a(229,250) = 131,561
Square (n²)
17,308,296,721
Cube (n³)
2,277,096,824,911,481
Divisor count
2
σ(n) — sum of divisors
131,562
φ(n) — Euler's totient
131,560

Primality

131,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,561)
1 × 131561
First multiples
131,561 · 263,122 (double) · 394,683 · 526,244 · 657,805 · 789,366 · 920,927 · 1,052,488 · 1,184,049 · 1,315,610

Sums & aliquot sequence

As a sum of two squares: 115² + 344²
As consecutive integers: 65,780 + 65,781

Continued fraction of √n

√131,561 = [362; (1, 2, 2, 22, 4, 6, 1, 2, 1, 2, 10, 1, 3, 1, 8, 3, 1, 2, 5, 1, 17, 3, 2, 2, …)]

Representations

In words
one hundred thirty-one thousand five hundred sixty-one
Ordinal
131561st
Binary
100000000111101001
Octal
400751
Hexadecimal
0x201E9
Base64
AgHp
One's complement
4,294,835,734 (32-bit)
Scientific notation
1.31561 × 10⁵
As a duration
131,561 s = 1 day, 12 hours, 32 minutes, 41 seconds
In other bases
ternary (3) 20200110122
quaternary (4) 200013221
quinary (5) 13202221
senary (6) 2453025
septenary (7) 1055363
nonary (9) 220418
undecimal (11) 8a931
duodecimal (12) 64175
tridecimal (13) 47b61
tetradecimal (14) 35d33
pentadecimal (15) 28eab

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαφξαʹ
Mayan (base 20)
𝋰·𝋨·𝋲·𝋡
Chinese
一十三萬一千五百六十一
Chinese (financial)
壹拾參萬壹仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٣١٥٦١ Devanagari १३१५६१ Bengali ১৩১৫৬১ Tamil ௧௩௧௫௬௧ Thai ๑๓๑๕๖๑ Tibetan ༡༣༡༥༦༡ Khmer ១៣១៥៦១ Lao ໑໓໑໕໖໑ Burmese ၁၃၁၅၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠇩
CJK Unified Ideograph-201E9
U+201E9
Other letter (Lo)

UTF-8 encoding: F0 A0 87 A9 (4 bytes).

Hex color
#0201E9
RGB(2, 1, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.233.

Address
0.2.1.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.233

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 131,561 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.