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133,221

133,221 is a composite number, 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.).

133,221 (one hundred thirty-three thousand two hundred twenty-one) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 3 × 11² × 367. Written other ways, in hexadecimal, 0x20865.

Cube-Free Deficient Number Evil Number Gapful Number Happy Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
122,331
Square (n²)
17,747,834,841
Cube (n³)
2,364,384,305,352,861
Divisor count
12
σ(n) — sum of divisors
195,776
φ(n) — Euler's totient
80,520
Sum of prime factors
392

Primality

Prime factorization: 3 × 11 2 × 367

Nearest primes: 133,213 (−8) · 133,241 (+20)

Divisors & multiples

All divisors (12)
1 · 3 · 11 · 33 · 121 · 363 · 367 · 1101 · 4037 · 12111 · 44407 · 133221
Aliquot sum (sum of proper divisors): 62,555
Factor pairs (a × b = 133,221)
1 × 133221
3 × 44407
11 × 12111
33 × 4037
121 × 1101
363 × 367
First multiples
133,221 · 266,442 (double) · 399,663 · 532,884 · 666,105 · 799,326 · 932,547 · 1,065,768 · 1,198,989 · 1,332,210

Sums & aliquot sequence

As consecutive integers: 66,610 + 66,611 44,406 + 44,407 + 44,408 22,201 + 22,202 + 22,203 + 22,204 + 22,205 + 22,206 12,106 + 12,107 + … + 12,116
Aliquot sequence: 133,221 62,555 12,517 1 0 — terminates at zero

Continued fraction of √n

√133,221 = [364; (1, 181, 2, 181, 1, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred twenty-one
Ordinal
133221st
Binary
100000100001100101
Octal
404145
Hexadecimal
0x20865
Base64
Aghl
One's complement
4,294,834,074 (32-bit)
Scientific notation
1.33221 × 10⁵
As a duration
133,221 s = 1 day, 13 hours, 21 seconds
In other bases
ternary (3) 20202202010
quaternary (4) 200201211
quinary (5) 13230341
senary (6) 2504433
septenary (7) 1063254
nonary (9) 222663
undecimal (11) 91100
duodecimal (12) 65119
tridecimal (13) 4883a
tetradecimal (14) 3679b
pentadecimal (15) 29716

As an angle

133,221° = 370 × 360° + 21°
21° ≈ 0.367 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλγσκαʹ
Mayan (base 20)
𝋰·𝋭·𝋡·𝋡
Chinese
一十三萬三千二百二十一
Chinese (financial)
壹拾參萬參仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٣٢٢١ Devanagari १३३२२१ Bengali ১৩৩২২১ Tamil ௧௩௩௨௨௧ Thai ๑๓๓๒๒๑ Tibetan ༡༣༣༢༢༡ Khmer ១៣៣២២១ Lao ໑໓໓໒໒໑ Burmese ၁၃၃၂၂၁

Also seen as

Unicode codepoint
𠡥
CJK Unified Ideograph-20865
U+20865
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 A5 (4 bytes).

Hex color
#020865
RGB(2, 8, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.101.

Address
0.2.8.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.101

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 133,221 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.