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129,001

129,001 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.).

129,001 (one hundred twenty-nine thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F7E9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
100,921
Recamán's sequence
a(231,638) = 129,001
Square (n²)
16,641,258,001
Cube (n³)
2,146,738,923,387,001
Divisor count
2
σ(n) — sum of divisors
129,002
φ(n) — Euler's totient
129,000

Primality

129,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 129001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 129,001)
1 × 129001
First multiples
129,001 · 258,002 (double) · 387,003 · 516,004 · 645,005 · 774,006 · 903,007 · 1,032,008 · 1,161,009 · 1,290,010

Sums & aliquot sequence

As a sum of two squares: 155² + 324²
As consecutive integers: 64,500 + 64,501

Continued fraction of √n

√129,001 = [359; (5, 1, 64, 2, 7, 1, 3, 5, 1, 2, 8, 1, 1, 1, 2, 7, 9, 2, 3, 1, 4, 1, 3, 1, …)]

Representations

In words
one hundred twenty-nine thousand one
Ordinal
129001st
Binary
11111011111101001
Octal
373751
Hexadecimal
0x1F7E9
Base64
Affp
One's complement
4,294,838,294 (32-bit)
Scientific notation
1.29001 × 10⁵
As a duration
129,001 s = 1 day, 11 hours, 50 minutes, 1 second
In other bases
ternary (3) 20112221211
quaternary (4) 133133221
quinary (5) 13112001
senary (6) 2433121
septenary (7) 1045045
nonary (9) 215854
undecimal (11) 88a14
duodecimal (12) 627a1
tridecimal (13) 46942
tetradecimal (14) 35025
pentadecimal (15) 28351

As an angle

129,001° = 358 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ρκθαʹ
Mayan (base 20)
𝋰·𝋢·𝋪·𝋡
Chinese
一十二萬九千零一
Chinese (financial)
壹拾貳萬玖仟零壹
In other modern scripts
Eastern Arabic ١٢٩٠٠١ Devanagari १२९००१ Bengali ১২৯০০১ Tamil ௧௨௯௦௦௧ Thai ๑๒๙๐๐๑ Tibetan ༡༢༩༠༠༡ Khmer ១២៩០០១ Lao ໑໒໙໐໐໑ Burmese ၁၂၉၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
🟩
Large Green Square
U+1F7E9
Other symbol (So)

UTF-8 encoding: F0 9F 9F A9 (4 bytes).

Hex color
#01F7E9
RGB(1, 247, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.247.233.

Address
0.1.247.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.247.233

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 129,001 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 129001 first appears in π at position 11,191 of the decimal expansion (the 11,191ordinal-suffix:st 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.