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135,301

135,301 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.).

135,301 (one hundred thirty-five thousand three hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21085.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
103,531
Square (n²)
18,306,360,601
Cube (n³)
2,476,868,895,675,901
Divisor count
2
σ(n) — sum of divisors
135,302
φ(n) — Euler's totient
135,300

Primality

135,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,301)
1 × 135301
First multiples
135,301 · 270,602 (double) · 405,903 · 541,204 · 676,505 · 811,806 · 947,107 · 1,082,408 · 1,217,709 · 1,353,010

Sums & aliquot sequence

As a sum of two squares: 110² + 351²
As consecutive integers: 67,650 + 67,651

Continued fraction of √n

√135,301 = [367; (1, 4, 1, 55, 1, 3, 9, 1, 1, 3, 1, 4, 1, 3, 1, 6, 12, 8, 1, 3, 1, 1, 3, 7, …)]

Representations

In words
one hundred thirty-five thousand three hundred one
Ordinal
135301st
Binary
100001000010000101
Octal
410205
Hexadecimal
0x21085
Base64
AhCF
One's complement
4,294,831,994 (32-bit)
Scientific notation
1.35301 × 10⁵
As a duration
135,301 s = 1 day, 13 hours, 35 minutes, 1 second
In other bases
ternary (3) 20212121011
quaternary (4) 201002011
quinary (5) 13312201
senary (6) 2522221
septenary (7) 1102315
nonary (9) 225534
undecimal (11) 92721
duodecimal (12) 66371
tridecimal (13) 4977a
tetradecimal (14) 37445
pentadecimal (15) 2a151

As an angle

135,301° = 375 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλεταʹ
Mayan (base 20)
𝋰·𝋲·𝋥·𝋡
Chinese
一十三萬五千三百零一
Chinese (financial)
壹拾參萬伍仟參佰零壹
In other modern scripts
Eastern Arabic ١٣٥٣٠١ Devanagari १३५३०१ Bengali ১৩৫৩০১ Tamil ௧௩௫௩௦௧ Thai ๑๓๕๓๐๑ Tibetan ༡༣༥༣༠༡ Khmer ១៣៥៣០១ Lao ໑໓໕໓໐໑ Burmese ၁၃၅၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡂅
CJK Unified Ideograph-21085
U+21085
Other letter (Lo)

UTF-8 encoding: F0 A1 82 85 (4 bytes).

Hex color
#021085
RGB(2, 16, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.133.

Address
0.2.16.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.133

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 135,301 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 135301 first appears in π at position 532,365 of the decimal expansion (the 532,365ordinal-suffix:th 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.