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133,133

133,133 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.).

133,133 (one hundred thirty-three thousand one hundred thirty-three) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 7² × 11 × 13 × 19. Written other ways, in hexadecimal, 0x2080D.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
81
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
331,331
Square (n²)
17,724,395,689
Cube (n³)
2,359,701,971,263,637
Divisor count
24
σ(n) — sum of divisors
191,520
φ(n) — Euler's totient
90,720
Sum of prime factors
57

Primality

Prime factorization: 7 2 × 11 × 13 × 19

Nearest primes: 133,121 (−12) · 133,153 (+20)

Divisors & multiples

All divisors (24)
1 · 7 · 11 · 13 · 19 · 49 · 77 · 91 · 133 · 143 · 209 · 247 · 539 · 637 · 931 · 1001 · 1463 · 1729 · 2717 · 7007 · 10241 · 12103 · 19019 · 133133
Aliquot sum (sum of proper divisors): 58,387
Factor pairs (a × b = 133,133)
1 × 133133
7 × 19019
11 × 12103
13 × 10241
19 × 7007
49 × 2717
77 × 1729
91 × 1463
133 × 1001
143 × 931
209 × 637
247 × 539
First multiples
133,133 · 266,266 (double) · 399,399 · 532,532 · 665,665 · 798,798 · 931,931 · 1,065,064 · 1,198,197 · 1,331,330

Sums & aliquot sequence

As consecutive integers: 66,566 + 66,567 19,016 + 19,017 + … + 19,022 12,098 + 12,099 + … + 12,108 10,235 + 10,236 + … + 10,247
Aliquot sequence: 133,133 58,387 12,013 335 73 1 0 — terminates at zero

Continued fraction of √n

√133,133 = [364; (1, 6, 1, 14, 56, 14, 1, 6, 1, 728)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred thirty-three
Ordinal
133133rd
Binary
100000100000001101
Octal
404015
Hexadecimal
0x2080D
Base64
AggN
One's complement
4,294,834,162 (32-bit)
Scientific notation
1.33133 × 10⁵
As a duration
133,133 s = 1 day, 12 hours, 58 minutes, 53 seconds
In other bases
ternary (3) 20202121212
quaternary (4) 200200031
quinary (5) 13230013
senary (6) 2504205
septenary (7) 1063100
nonary (9) 222555
undecimal (11) 91030
duodecimal (12) 65065
tridecimal (13) 487a0
tetradecimal (14) 36737
pentadecimal (15) 296a8

As an angle

133,133° = 369 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρλγʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋭
Chinese
一十三萬三千一百三十三
Chinese (financial)
壹拾參萬參仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٣٣١٣٣ Devanagari १३३१३३ Bengali ১৩৩১৩৩ Tamil ௧௩௩௧௩௩ Thai ๑๓๓๑๓๓ Tibetan ༡༣༣༡༣༣ Khmer ១៣៣១៣៣ Lao ໑໓໓໑໓໓ Burmese ၁၃၃၁၃၃

Also seen as

Unicode codepoint
𠠍
CJK Unified Ideograph-2080D
U+2080D
Other letter (Lo)

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

Hex color
#02080D
RGB(2, 8, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.13.

Address
0.2.8.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.13

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 133,133 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 133133 first appears in π at position 273,669 of the decimal expansion (the 273,669ordinal-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

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