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128,021

128,021 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.).

128,021 (one hundred twenty-eight 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, 0x1F415.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
120,821
Square (n²)
16,389,376,441
Cube (n³)
2,098,184,361,353,261
Divisor count
2
σ(n) — sum of divisors
128,022
φ(n) — Euler's totient
128,020

Primality

128,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 128021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 128,021)
1 × 128021
First multiples
128,021 · 256,042 (double) · 384,063 · 512,084 · 640,105 · 768,126 · 896,147 · 1,024,168 · 1,152,189 · 1,280,210

Sums & aliquot sequence

As a sum of two squares: 215² + 286²
As consecutive integers: 64,010 + 64,011

Continued fraction of √n

√128,021 = [357; (1, 4, 178, 1, 2, 2, 1, 178, 4, 1, 714)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand twenty-one
Ordinal
128021st
Binary
11111010000010101
Octal
372025
Hexadecimal
0x1F415
Base64
AfQV
One's complement
4,294,839,274 (32-bit)
Scientific notation
1.28021 × 10⁵
As a duration
128,021 s = 1 day, 11 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 20111121112
quaternary (4) 133100111
quinary (5) 13044041
senary (6) 2424405
septenary (7) 1042145
nonary (9) 214545
undecimal (11) 88203
duodecimal (12) 62105
tridecimal (13) 4636a
tetradecimal (14) 34925
pentadecimal (15) 27deb

As an angle

128,021° = 355 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρκηκαʹ
Mayan (base 20)
𝋰·𝋠·𝋡·𝋡
Chinese
一十二萬八千零二十一
Chinese (financial)
壹拾貳萬捌仟零貳拾壹
In other modern scripts
Eastern Arabic ١٢٨٠٢١ Devanagari १२८०२१ Bengali ১২৮০২১ Tamil ௧௨௮௦௨௧ Thai ๑๒๘๐๒๑ Tibetan ༡༢༨༠༢༡ Khmer ១២៨០២១ Lao ໑໒໘໐໒໑ Burmese ၁၂၈၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
🐕
Dog
U+1F415
Other symbol (So)

UTF-8 encoding: F0 9F 90 95 (4 bytes).

Hex color
#01F415
RGB(1, 244, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.21.

Address
0.1.244.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.21

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 128,021 and was likely granted around 1872.

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

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.