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130,513

130,513 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.).

130,513 (one hundred thirty thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FDD1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
315,031
Square (n²)
17,033,643,169
Cube (n³)
2,223,111,870,915,697
Divisor count
2
σ(n) — sum of divisors
130,514
φ(n) — Euler's totient
130,512

Primality

130,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,513)
1 × 130513
First multiples
130,513 · 261,026 (double) · 391,539 · 522,052 · 652,565 · 783,078 · 913,591 · 1,044,104 · 1,174,617 · 1,305,130

Sums & aliquot sequence

As a sum of two squares: 97² + 348²
As consecutive integers: 65,256 + 65,257

Continued fraction of √n

√130,513 = [361; (3, 1, 3, 5, 21, 1, 2, 2, 1, 1, 3, 2, 4, 2, 1, 8, 65, 1, 1, 3, 11, 240, 1, 3, …)]

Representations

In words
one hundred thirty thousand five hundred thirteen
Ordinal
130513th
Binary
11111110111010001
Octal
376721
Hexadecimal
0x1FDD1
Base64
Af3R
One's complement
4,294,836,782 (32-bit)
Scientific notation
1.30513 × 10⁵
As a duration
130,513 s = 1 day, 12 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 20122000211
quaternary (4) 133313101
quinary (5) 13134023
senary (6) 2444121
septenary (7) 1052335
nonary (9) 218024
undecimal (11) 8a069
duodecimal (12) 63641
tridecimal (13) 47536
tetradecimal (14) 357c5
pentadecimal (15) 28a0d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλφιγʹ
Mayan (base 20)
𝋰·𝋦·𝋥·𝋭
Chinese
一十三萬零五百一十三
Chinese (financial)
壹拾參萬零伍佰壹拾參
In other modern scripts
Eastern Arabic ١٣٠٥١٣ Devanagari १३०५१३ Bengali ১৩০৫১৩ Tamil ௧௩௦௫௧௩ Thai ๑๓๐๕๑๓ Tibetan ༡༣༠༥༡༣ Khmer ១៣០៥១៣ Lao ໑໓໐໕໑໓ Burmese ၁၃၀၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 130517.

Hex color
#01FDD1
RGB(1, 253, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.209.

Address
0.1.253.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.209

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 130,513 and was likely granted around 1872.

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

Position in π

The digit sequence 130513 first appears in π at position 979,054 of the decimal expansion (the 979,054ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.