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135,029

135,029 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.).

135,029 (one hundred thirty-five thousand twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20F75.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
920,531
Recamán's sequence
a(36,290) = 135,029
Square (n²)
18,232,830,841
Cube (n³)
2,461,960,915,629,389
Divisor count
2
σ(n) — sum of divisors
135,030
φ(n) — Euler's totient
135,028

Primality

135,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135029
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,029)
1 × 135029
First multiples
135,029 · 270,058 (double) · 405,087 · 540,116 · 675,145 · 810,174 · 945,203 · 1,080,232 · 1,215,261 · 1,350,290

Sums & aliquot sequence

As a sum of two squares: 215² + 298²
As consecutive integers: 67,514 + 67,515

Continued fraction of √n

√135,029 = [367; (2, 6, 4, 8, 2, 2, 6, 1, 17, 16, 1, 1, 1, 4, 1, 19, 25, 3, 2, 2, 1, 10, 3, 1, …)]

Representations

In words
one hundred thirty-five thousand twenty-nine
Ordinal
135029th
Binary
100000111101110101
Octal
407565
Hexadecimal
0x20F75
Base64
Ag91
One's complement
4,294,832,266 (32-bit)
Scientific notation
1.35029 × 10⁵
As a duration
135,029 s = 1 day, 13 hours, 30 minutes, 29 seconds
In other bases
ternary (3) 20212020002
quaternary (4) 200331311
quinary (5) 13310104
senary (6) 2521045
septenary (7) 1101446
nonary (9) 225202
undecimal (11) 924a4
duodecimal (12) 66185
tridecimal (13) 495cb
tetradecimal (14) 372cd
pentadecimal (15) 2a01e

As an angle

135,029° = 375 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεκθʹ
Mayan (base 20)
𝋰·𝋱·𝋫·𝋩
Chinese
一十三萬五千零二十九
Chinese (financial)
壹拾參萬伍仟零貳拾玖
In other modern scripts
Eastern Arabic ١٣٥٠٢٩ Devanagari १३५०२९ Bengali ১৩৫০২৯ Tamil ௧௩௫௦௨௯ Thai ๑๓๕๐๒๙ Tibetan ༡༣༥༠༢༩ Khmer ១៣៥០២៩ Lao ໑໓໕໐໒໙ Burmese ၁၃၅၀၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠽵
CJK Unified Ideograph-20F75
U+20F75
Other letter (Lo)

UTF-8 encoding: F0 A0 BD B5 (4 bytes).

Hex color
#020F75
RGB(2, 15, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.117.

Address
0.2.15.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.117

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 135,029 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.