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131,641

131,641 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.).

131,641 (one hundred thirty-one thousand six hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20239.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
146,131
Recamán's sequence
a(229,090) = 131,641
Square (n²)
17,329,352,881
Cube (n³)
2,281,253,342,607,721
Divisor count
2
σ(n) — sum of divisors
131,642
φ(n) — Euler's totient
131,640

Primality

131,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,641)
1 × 131641
First multiples
131,641 · 263,282 (double) · 394,923 · 526,564 · 658,205 · 789,846 · 921,487 · 1,053,128 · 1,184,769 · 1,316,410

Sums & aliquot sequence

As a sum of two squares: 171² + 320²
As consecutive integers: 65,820 + 65,821

Continued fraction of √n

√131,641 = [362; (1, 4, 1, 2, 28, 1, 2, 17, 2, 1, 3, 3, 1, 2, 3, 1, 7, 2, 9, 1, 1, 1, 1, 4, …)]

Representations

In words
one hundred thirty-one thousand six hundred forty-one
Ordinal
131641st
Binary
100000001000111001
Octal
401071
Hexadecimal
0x20239
Base64
AgI5
One's complement
4,294,835,654 (32-bit)
Scientific notation
1.31641 × 10⁵
As a duration
131,641 s = 1 day, 12 hours, 34 minutes, 1 second
In other bases
ternary (3) 20200120121
quaternary (4) 200020321
quinary (5) 13203031
senary (6) 2453241
septenary (7) 1055536
nonary (9) 220517
undecimal (11) 8a9a4
duodecimal (12) 64221
tridecimal (13) 47bc3
tetradecimal (14) 35d8d
pentadecimal (15) 29011

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαχμαʹ
Mayan (base 20)
𝋰·𝋩·𝋢·𝋡
Chinese
一十三萬一千六百四十一
Chinese (financial)
壹拾參萬壹仟陸佰肆拾壹
In other modern scripts
Eastern Arabic ١٣١٦٤١ Devanagari १३१६४१ Bengali ১৩১৬৪১ Tamil ௧௩௧௬௪௧ Thai ๑๓๑๖๔๑ Tibetan ༡༣༡༦༤༡ Khmer ១៣១៦៤១ Lao ໑໓໑໖໔໑ Burmese ၁၃၁၆၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131639.

Unicode codepoint
𠈹
CJK Unified Ideograph-20239
U+20239
Other letter (Lo)

UTF-8 encoding: F0 A0 88 B9 (4 bytes).

Hex color
#020239
RGB(2, 2, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.57.

Address
0.2.2.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.57

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 131,641 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.