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133,331

133,331 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.).

133,331 (one hundred thirty-three thousand three hundred thirty-one) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 11 × 17 × 23 × 31. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x208D3.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Palindrome Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
81
Digital root
5
Palindrome
Yes
Bit width
18 bits
Recamán's sequence
a(35,322) = 133,331
Square (n²)
17,777,155,561
Cube (n³)
2,370,245,928,103,691
Divisor count
16
σ(n) — sum of divisors
165,888
φ(n) — Euler's totient
105,600
Sum of prime factors
82

Primality

Prime factorization: 11 × 17 × 23 × 31

Nearest primes: 133,327 (−4) · 133,337 (+6)

Divisors & multiples

All divisors (16)
1 · 11 · 17 · 23 · 31 · 187 · 253 · 341 · 391 · 527 · 713 · 4301 · 5797 · 7843 · 12121 · 133331
Aliquot sum (sum of proper divisors): 32,557
Factor pairs (a × b = 133,331)
1 × 133331
11 × 12121
17 × 7843
23 × 5797
31 × 4301
187 × 713
253 × 527
341 × 391
First multiples
133,331 · 266,662 (double) · 399,993 · 533,324 · 666,655 · 799,986 · 933,317 · 1,066,648 · 1,199,979 · 1,333,310

Sums & aliquot sequence

As consecutive integers: 66,665 + 66,666 12,116 + 12,117 + … + 12,126 7,835 + 7,836 + … + 7,851 6,050 + 6,051 + … + 6,071
Aliquot sequence: 133,331 32,557 4,659 1,557 705 447 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√133,331 = [365; (6, 1, 7, 1, 16, 10, 2, 1, 2, 10, 16, 1, 7, 1, 6, 730)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred thirty-one
Ordinal
133331st
Binary
100000100011010011
Octal
404323
Hexadecimal
0x208D3
Base64
AgjT
One's complement
4,294,833,964 (32-bit)
Scientific notation
1.33331 × 10⁵
As a duration
133,331 s = 1 day, 13 hours, 2 minutes, 11 seconds
In other bases
ternary (3) 20202220012
quaternary (4) 200203103
quinary (5) 13231311
senary (6) 2505135
septenary (7) 1063502
nonary (9) 222805
undecimal (11) 911a0
duodecimal (12) 651ab
tridecimal (13) 488c3
tetradecimal (14) 36839
pentadecimal (15) 2978b

As an angle

133,331° = 370 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγτλαʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋫
Chinese
一十三萬三千三百三十一
Chinese (financial)
壹拾參萬參仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٣٣٣٣١ Devanagari १३३३३१ Bengali ১৩৩৩৩১ Tamil ௧௩௩௩௩௧ Thai ๑๓๓๓๓๑ Tibetan ༡༣༣༣༣༡ Khmer ១៣៣៣៣១ Lao ໑໓໓໓໓໑ Burmese ၁၃၃၃၃၁

Also seen as

Unicode codepoint
𠣓
CJK Unified Ideograph-208D3
U+208D3
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 93 (4 bytes).

Hex color
#0208D3
RGB(2, 8, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.211.

Address
0.2.8.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.211

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 133,331 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 133331 first appears in π at position 634,973 of the decimal expansion (the 634,973ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.