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131,413

131,413 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.).

131,413 (one hundred thirty-one thousand four hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20155.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
314,131
Recamán's sequence
a(229,546) = 131,413
Square (n²)
17,269,376,569
Cube (n³)
2,269,420,583,061,997
Divisor count
2
σ(n) — sum of divisors
131,414
φ(n) — Euler's totient
131,412

Primality

131,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,413)
1 × 131413
First multiples
131,413 · 262,826 (double) · 394,239 · 525,652 · 657,065 · 788,478 · 919,891 · 1,051,304 · 1,182,717 · 1,314,130

Sums & aliquot sequence

As a sum of two squares: 57² + 358²
As consecutive integers: 65,706 + 65,707

Continued fraction of √n

√131,413 = [362; (1, 1, 26, 2, 1, 5, 4, 2, 8, 5, 2, 2, 2, 11, 1, 6, 1, 7, 10, 1, 2, 3, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand four hundred thirteen
Ordinal
131413th
Binary
100000000101010101
Octal
400525
Hexadecimal
0x20155
Base64
AgFV
One's complement
4,294,835,882 (32-bit)
Scientific notation
1.31413 × 10⁵
As a duration
131,413 s = 1 day, 12 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 20200021011
quaternary (4) 200011111
quinary (5) 13201123
senary (6) 2452221
septenary (7) 1055062
nonary (9) 220234
undecimal (11) 8a807
duodecimal (12) 64071
tridecimal (13) 47a79
tetradecimal (14) 35c69
pentadecimal (15) 28e0d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυιγʹ
Mayan (base 20)
𝋰·𝋨·𝋪·𝋭
Chinese
一十三萬一千四百一十三
Chinese (financial)
壹拾參萬壹仟肆佰壹拾參
In other modern scripts
Eastern Arabic ١٣١٤١٣ Devanagari १३१४१३ Bengali ১৩১৪১৩ Tamil ௧௩௧௪௧௩ Thai ๑๓๑๔๑๓ Tibetan ༡༣༡༤༡༣ Khmer ១៣១៤១៣ Lao ໑໓໑໔໑໓ Burmese ၁၃၁၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠅕
CJK Unified Ideograph-20155
U+20155
Other letter (Lo)

UTF-8 encoding: F0 A0 85 95 (4 bytes).

Hex color
#020155
RGB(2, 1, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.85.

Address
0.2.1.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.85

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 131,413 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.