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128,201

128,201 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.).

128,201 (one hundred twenty-eight thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F4C9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
102,821
Recamán's sequence
a(32,686) = 128,201
Square (n²)
16,435,496,401
Cube (n³)
2,107,047,074,104,601
Divisor count
2
σ(n) — sum of divisors
128,202
φ(n) — Euler's totient
128,200

Primality

128,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 128201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 128,201)
1 × 128201
First multiples
128,201 · 256,402 (double) · 384,603 · 512,804 · 641,005 · 769,206 · 897,407 · 1,025,608 · 1,153,809 · 1,282,010

Sums & aliquot sequence

As a sum of two squares: 80² + 349²
As consecutive integers: 64,100 + 64,101

Continued fraction of √n

√128,201 = [358; (19, 2, 1, 5, 17, 1, 2, 1, 1, 1, 7, 1, 3, 1, 2, 1, 3, 1, 1, 1, 10, 1, 1, 4, …)]

Representations

In words
one hundred twenty-eight thousand two hundred one
Ordinal
128201st
Binary
11111010011001001
Octal
372311
Hexadecimal
0x1F4C9
Base64
AfTJ
One's complement
4,294,839,094 (32-bit)
Scientific notation
1.28201 × 10⁵
As a duration
128,201 s = 1 day, 11 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 20111212012
quaternary (4) 133103021
quinary (5) 13100301
senary (6) 2425305
septenary (7) 1042523
nonary (9) 214765
undecimal (11) 88357
duodecimal (12) 62235
tridecimal (13) 46478
tetradecimal (14) 34a13
pentadecimal (15) 27ebb

As an angle

128,201° = 356 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρκησαʹ
Mayan (base 20)
𝋰·𝋠·𝋪·𝋡
Chinese
一十二萬八千二百零一
Chinese (financial)
壹拾貳萬捌仟貳佰零壹
In other modern scripts
Eastern Arabic ١٢٨٢٠١ Devanagari १२८२०१ Bengali ১২৮২০১ Tamil ௧௨௮௨௦௧ Thai ๑๒๘๒๐๑ Tibetan ༡༢༨༢༠༡ Khmer ១២៨២០១ Lao ໑໒໘໒໐໑ Burmese ၁၂၈၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 128203.

Unicode codepoint
📉
Chart With Downwards Trend
U+1F4C9
Other symbol (So)

UTF-8 encoding: F0 9F 93 89 (4 bytes).

Hex color
#01F4C9
RGB(1, 244, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.201.

Address
0.1.244.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.201

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 128,201 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.