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135,221

135,221 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.).

135,221 (one hundred thirty-five thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21035.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
122,531
Square (n²)
18,284,718,841
Cube (n³)
2,472,477,966,398,861
Divisor count
2
σ(n) — sum of divisors
135,222
φ(n) — Euler's totient
135,220

Primality

135,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,221)
1 × 135221
First multiples
135,221 · 270,442 (double) · 405,663 · 540,884 · 676,105 · 811,326 · 946,547 · 1,081,768 · 1,216,989 · 1,352,210

Sums & aliquot sequence

As a sum of two squares: 70² + 361²
As consecutive integers: 67,610 + 67,611

Continued fraction of √n

√135,221 = [367; (1, 2, 1, 1, 1, 1, 1, 20, 2, 1, 1, 4, 2, 9, 9, 1, 31, 13, 2, 1, 14, 1, 35, 1, …)]

Representations

In words
one hundred thirty-five thousand two hundred twenty-one
Ordinal
135221st
Binary
100001000000110101
Octal
410065
Hexadecimal
0x21035
Base64
AhA1
One's complement
4,294,832,074 (32-bit)
Scientific notation
1.35221 × 10⁵
As a duration
135,221 s = 1 day, 13 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 20212111012
quaternary (4) 201000311
quinary (5) 13311341
senary (6) 2522005
septenary (7) 1102142
nonary (9) 225435
undecimal (11) 92659
duodecimal (12) 66305
tridecimal (13) 49718
tetradecimal (14) 373c9
pentadecimal (15) 2a0eb

As an angle

135,221° = 375 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλεσκαʹ
Mayan (base 20)
𝋰·𝋲·𝋡·𝋡
Chinese
一十三萬五千二百二十一
Chinese (financial)
壹拾參萬伍仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٥٢٢١ Devanagari १३५२२१ Bengali ১৩৫২২১ Tamil ௧௩௫௨௨௧ Thai ๑๓๕๒๒๑ Tibetan ༡༣༥༢༢༡ Khmer ១៣៥២២១ Lao ໑໓໕໒໒໑ Burmese ၁၃၅၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡀵
CJK Unified Ideograph-21035
U+21035
Other letter (Lo)

UTF-8 encoding: F0 A1 80 B5 (4 bytes).

Hex color
#021035
RGB(2, 16, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.53.

Address
0.2.16.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.53

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 135,221 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.