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135,329

135,329 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.).

135,329 (one hundred thirty-five thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x210A1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
810
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
923,531
Square (n²)
18,313,938,241
Cube (n³)
2,478,406,948,216,289
Divisor count
2
σ(n) — sum of divisors
135,330
φ(n) — Euler's totient
135,328

Primality

135,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,329)
1 × 135329
First multiples
135,329 · 270,658 (double) · 405,987 · 541,316 · 676,645 · 811,974 · 947,303 · 1,082,632 · 1,217,961 · 1,353,290

Sums & aliquot sequence

As a sum of two squares: 152² + 335²
As consecutive integers: 67,664 + 67,665

Continued fraction of √n

√135,329 = [367; (1, 6, 1, 2, 1, 14, 1, 10, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 37, 1, 146, 5, 1, 2, …)]

Representations

In words
one hundred thirty-five thousand three hundred twenty-nine
Ordinal
135329th
Binary
100001000010100001
Octal
410241
Hexadecimal
0x210A1
Base64
AhCh
One's complement
4,294,831,966 (32-bit)
Scientific notation
1.35329 × 10⁵
As a duration
135,329 s = 1 day, 13 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 20212122012
quaternary (4) 201002201
quinary (5) 13312304
senary (6) 2522305
septenary (7) 1102355
nonary (9) 225565
undecimal (11) 92747
duodecimal (12) 66395
tridecimal (13) 4979c
tetradecimal (14) 37465
pentadecimal (15) 2a16e

As an angle

135,329° = 375 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετκθʹ
Mayan (base 20)
𝋰·𝋲·𝋦·𝋩
Chinese
一十三萬五千三百二十九
Chinese (financial)
壹拾參萬伍仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٥٣٢٩ Devanagari १३५३२९ Bengali ১৩৫৩২৯ Tamil ௧௩௫௩௨௯ Thai ๑๓๕๓๒๙ Tibetan ༡༣༥༣༢༩ Khmer ១៣៥៣២៩ Lao ໑໓໕໓໒໙ Burmese ၁၃၅၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡂡
CJK Unified Ideograph-210A1
U+210A1
Other letter (Lo)

UTF-8 encoding: F0 A1 82 A1 (4 bytes).

Hex color
#0210A1
RGB(2, 16, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.161.

Address
0.2.16.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.161

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 135,329 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 135329 first appears in π at position 97,682 of the decimal expansion (the 97,682ordinal-suffix:nd 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.