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130,021

130,021 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.).

130,021 (one hundred thirty thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FBE5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
120,031
Recamán's sequence
a(33,798) = 130,021
Square (n²)
16,905,460,441
Cube (n³)
2,198,064,871,999,261
Divisor count
2
σ(n) — sum of divisors
130,022
φ(n) — Euler's totient
130,020

Primality

130,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,021)
1 × 130021
First multiples
130,021 · 260,042 (double) · 390,063 · 520,084 · 650,105 · 780,126 · 910,147 · 1,040,168 · 1,170,189 · 1,300,210

Sums & aliquot sequence

As a sum of two squares: 239² + 270²
As consecutive integers: 65,010 + 65,011

Continued fraction of √n

√130,021 = [360; (1, 1, 2, 2, 7, 5, 1, 2, 1, 2, 7, 2, 9, 47, 1, 35, 12, 1, 1, 1, 1, 1, 21, 4, …)]

Representations

In words
one hundred thirty thousand twenty-one
Ordinal
130021st
Binary
11111101111100101
Octal
375745
Hexadecimal
0x1FBE5
Base64
Afvl
One's complement
4,294,837,274 (32-bit)
Scientific notation
1.30021 × 10⁵
As a duration
130,021 s = 1 day, 12 hours, 7 minutes, 1 second
In other bases
ternary (3) 20121100121
quaternary (4) 133233211
quinary (5) 13130041
senary (6) 2441541
septenary (7) 1051033
nonary (9) 217317
undecimal (11) 89761
duodecimal (12) 632b1
tridecimal (13) 47248
tetradecimal (14) 35553
pentadecimal (15) 287d1
Palindromic in base 14

As an angle

130,021° = 361 × 360° + 61°
61° ≈ 1.065 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓏺
Greek (Milesian)
͵ρλκαʹ
Mayan (base 20)
𝋰·𝋥·𝋡·𝋡
Chinese
一十三萬零二十一
Chinese (financial)
壹拾參萬零貳拾壹
In other modern scripts
Eastern Arabic ١٣٠٠٢١ Devanagari १३००२१ Bengali ১৩০০২১ Tamil ௧௩௦௦௨௧ Thai ๑๓๐๐๒๑ Tibetan ༡༣༠༠༢༡ Khmer ១៣០០២១ Lao ໑໓໐໐໒໑ Burmese ၁၃၀၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 130027.

Unicode codepoint
🯥
Lower Centre One Quarter Block
U+1FBE5
Other symbol (So)

UTF-8 encoding: F0 9F AF A5 (4 bytes).

Hex color
#01FBE5
RGB(1, 251, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.229.

Address
0.1.251.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.229

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 130,021 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 130021 first appears in π at position 122,234 of the decimal expansion (the 122,234ordinal-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.