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133,212

133,212 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.).

133,212 (one hundred thirty-three thousand two hundred twelve) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 653. Its proper divisors sum to 196,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2085C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
212,331
Square (n²)
17,745,436,944
Cube (n³)
2,363,905,146,184,128
Divisor count
24
σ(n) — sum of divisors
329,616
φ(n) — Euler's totient
41,728
Sum of prime factors
677

Primality

Prime factorization: 2 2 × 3 × 17 × 653

Nearest primes: 133,201 (−11) · 133,213 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 653 · 1306 · 1959 · 2612 · 3918 · 7836 · 11101 · 22202 · 33303 · 44404 · 66606 (half) · 133212
Aliquot sum (sum of proper divisors): 196,404
Factor pairs (a × b = 133,212)
1 × 133212
2 × 66606
3 × 44404
4 × 33303
6 × 22202
12 × 11101
17 × 7836
34 × 3918
51 × 2612
68 × 1959
102 × 1306
204 × 653
First multiples
133,212 · 266,424 (double) · 399,636 · 532,848 · 666,060 · 799,272 · 932,484 · 1,065,696 · 1,198,908 · 1,332,120

Sums & aliquot sequence

As consecutive integers: 44,403 + 44,404 + 44,405 16,648 + 16,649 + … + 16,655 7,828 + 7,829 + … + 7,844 5,539 + 5,540 + … + 5,562
Aliquot sequence: 133,212 196,404 297,516 396,716 326,944 355,724 273,100 319,744 319,006 159,506 81,658 40,832 50,968 49,112 56,248 51,752 45,298 — unresolved within range

Continued fraction of √n

√133,212 = [364; (1, 55, 6, 1, 1, 3, 1, 3, 1, 1, 3, 3, 12, 14, 1, 4, 2, 3, 3, 1, 2, 3, 15, 4, …)]

Representations

In words
one hundred thirty-three thousand two hundred twelve
Ordinal
133212th
Binary
100000100001011100
Octal
404134
Hexadecimal
0x2085C
Base64
Aghc
One's complement
4,294,834,083 (32-bit)
Scientific notation
1.33212 × 10⁵
As a duration
133,212 s = 1 day, 13 hours, 12 seconds
In other bases
ternary (3) 20202201210
quaternary (4) 200201130
quinary (5) 13230322
senary (6) 2504420
septenary (7) 1063242
nonary (9) 222653
undecimal (11) 910a2
duodecimal (12) 65110
tridecimal (13) 48831
tetradecimal (14) 36792
pentadecimal (15) 2970c

As an angle

133,212° = 370 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσιβʹ
Mayan (base 20)
𝋰·𝋭·𝋠·𝋬
Chinese
一十三萬三千二百一十二
Chinese (financial)
壹拾參萬參仟貳佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣٢١٢ Devanagari १३३२१२ Bengali ১৩৩২১২ Tamil ௧௩௩௨௧௨ Thai ๑๓๓๒๑๒ Tibetan ༡༣༣༢༡༢ Khmer ១៣៣២១២ Lao ໑໓໓໒໑໒ Burmese ၁၃၃၂၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133212, here are decompositions:

  • 11 + 133201 = 133212
  • 29 + 133183 = 133212
  • 43 + 133169 = 133212
  • 59 + 133153 = 133212
  • 103 + 133109 = 133212
  • 109 + 133103 = 133212
  • 139 + 133073 = 133212
  • 173 + 133039 = 133212

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡜
CJK Unified Ideograph-2085C
U+2085C
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 9C (4 bytes).

Hex color
#02085C
RGB(2, 8, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.92.

Address
0.2.8.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.92

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 133,212 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 133212 first appears in π at position 609,128 of the decimal expansion (the 609,128ordinal-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

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