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133,112

133,112 is a composite number, even.

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.).

133,112 (one hundred thirty-three thousand one hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,377. Its proper divisors sum to 152,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207F8.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
211,331
Square (n²)
17,718,804,544
Cube (n³)
2,358,585,510,460,928
Divisor count
16
σ(n) — sum of divisors
285,360
φ(n) — Euler's totient
57,024
Sum of prime factors
2,390

Primality

Prime factorization: 2 3 × 7 × 2377

Nearest primes: 133,109 (−3) · 133,117 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2377 · 4754 · 9508 · 16639 · 19016 · 33278 · 66556 (half) · 133112
Aliquot sum (sum of proper divisors): 152,248
Factor pairs (a × b = 133,112)
1 × 133112
2 × 66556
4 × 33278
7 × 19016
8 × 16639
14 × 9508
28 × 4754
56 × 2377
First multiples
133,112 · 266,224 (double) · 399,336 · 532,448 · 665,560 · 798,672 · 931,784 · 1,064,896 · 1,198,008 · 1,331,120

Sums & aliquot sequence

As consecutive integers: 19,013 + 19,014 + … + 19,019 8,312 + 8,313 + … + 8,327 1,133 + 1,134 + … + 1,244
Aliquot sequence: 133,112 152,248 133,232 148,744 130,166 70,474 36,374 22,426 11,216 10,546 5,276 3,964 2,980 3,320 4,240 5,804 4,360 — unresolved within range

Continued fraction of √n

√133,112 = [364; (1, 5, 2, 5, 1, 1, 3, 8, 104, 8, 3, 1, 1, 5, 2, 5, 1, 728)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred twelve
Ordinal
133112th
Binary
100000011111111000
Octal
403770
Hexadecimal
0x207F8
Base64
Agf4
One's complement
4,294,834,183 (32-bit)
Scientific notation
1.33112 × 10⁵
As a duration
133,112 s = 1 day, 12 hours, 58 minutes, 32 seconds
In other bases
ternary (3) 20202121002
quaternary (4) 200133320
quinary (5) 13224422
senary (6) 2504132
septenary (7) 1063040
nonary (9) 222532
undecimal (11) 91011
duodecimal (12) 65048
tridecimal (13) 48785
tetradecimal (14) 36720
pentadecimal (15) 29692
Palindromic in base 15

As an angle

133,112° = 369 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγριβʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋬
Chinese
一十三萬三千一百一十二
Chinese (financial)
壹拾參萬參仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣١١٢ Devanagari १३३११२ Bengali ১৩৩১১২ Tamil ௧௩௩௧௧௨ Thai ๑๓๓๑๑๒ Tibetan ༡༣༣༡༡༢ Khmer ១៣៣១១២ Lao ໑໓໓໑໑໒ Burmese ၁၃၃၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133112, here are decompositions:

  • 3 + 133109 = 133112
  • 43 + 133069 = 133112
  • 61 + 133051 = 133112
  • 73 + 133039 = 133112
  • 79 + 133033 = 133112
  • 151 + 132961 = 133112
  • 163 + 132949 = 133112
  • 349 + 132763 = 133112

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟸
CJK Unified Ideograph-207F8
U+207F8
Other letter (Lo)

UTF-8 encoding: F0 A0 9F B8 (4 bytes).

Hex color
#0207F8
RGB(2, 7, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.248.

Address
0.2.7.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.248

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 133,112 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

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