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135,101

135,101 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.).

135,101 (one hundred thirty-five thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20FBD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
101,531
Recamán's sequence
a(36,434) = 135,101
Square (n²)
18,252,280,201
Cube (n³)
2,465,901,307,435,301
Divisor count
2
σ(n) — sum of divisors
135,102
φ(n) — Euler's totient
135,100

Primality

135,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,101)
1 × 135101
First multiples
135,101 · 270,202 (double) · 405,303 · 540,404 · 675,505 · 810,606 · 945,707 · 1,080,808 · 1,215,909 · 1,351,010

Sums & aliquot sequence

As a sum of two squares: 245² + 274²
As consecutive integers: 67,550 + 67,551

Continued fraction of √n

√135,101 = [367; (1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 3, 5, 4, 11, 1, 4, 3, 146, 1, 2, 2, 9, 4, 10, …)]

Representations

In words
one hundred thirty-five thousand one hundred one
Ordinal
135101st
Binary
100000111110111101
Octal
407675
Hexadecimal
0x20FBD
Base64
Ag+9
One's complement
4,294,832,194 (32-bit)
Scientific notation
1.35101 × 10⁵
As a duration
135,101 s = 1 day, 13 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 20212022202
quaternary (4) 200332331
quinary (5) 13310401
senary (6) 2521245
septenary (7) 1101611
nonary (9) 225282
undecimal (11) 9255a
duodecimal (12) 66225
tridecimal (13) 49655
tetradecimal (14) 37341
pentadecimal (15) 2a06b

As an angle

135,101° = 375 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ρλεραʹ
Mayan (base 20)
𝋰·𝋱·𝋯·𝋡
Chinese
一十三萬五千一百零一
Chinese (financial)
壹拾參萬伍仟壹佰零壹
In other modern scripts
Eastern Arabic ١٣٥١٠١ Devanagari १३५१०१ Bengali ১৩৫১০১ Tamil ௧௩௫௧௦௧ Thai ๑๓๕๑๐๑ Tibetan ༡༣༥༡༠༡ Khmer ១៣៥១០១ Lao ໑໓໕໑໐໑ Burmese ၁၃၅၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠾽
CJK Unified Ideograph-20Fbd
U+20FBD
Other letter (Lo)

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

Hex color
#020FBD
RGB(2, 15, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.189.

Address
0.2.15.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.189

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 135,101 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.