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133,202

133,202 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.).

133,202 (one hundred thirty-three thousand two hundred two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 66,601. Written other ways, in hexadecimal, 0x20852.

Cube-Free Deficient Number Odious Number Pernicious Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
202,331
Square (n²)
17,742,772,804
Cube (n³)
2,363,372,823,038,408
Divisor count
4
σ(n) — sum of divisors
199,806
φ(n) — Euler's totient
66,600
Sum of prime factors
66,603

Primality

Prime factorization: 2 × 66601

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

Divisors & multiples

All divisors (4)
1 · 2 · 66601 (half) · 133202
Aliquot sum (sum of proper divisors): 66,604
Factor pairs (a × b = 133,202)
1 × 133202
2 × 66601
First multiples
133,202 · 266,404 (double) · 399,606 · 532,808 · 666,010 · 799,212 · 932,414 · 1,065,616 · 1,198,818 · 1,332,020

Sums & aliquot sequence

As a sum of two squares: 191² + 311²
As consecutive integers: 33,299 + 33,300 + 33,301 + 33,302
Aliquot sequence: 133,202 66,604 49,960 62,540 73,540 80,936 74,104 68,096 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 — unresolved within range

Continued fraction of √n

√133,202 = [364; (1, 30, 1, 2, 1, 4, 2, 1, 4, 6, 1, 6, 1, 9, 2, 2, 4, 1, 1, 2, 8, 1, 5, 1, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred two
Ordinal
133202nd
Binary
100000100001010010
Octal
404122
Hexadecimal
0x20852
Base64
AghS
One's complement
4,294,834,093 (32-bit)
Scientific notation
1.33202 × 10⁵
As a duration
133,202 s = 1 day, 13 hours, 2 seconds
In other bases
ternary (3) 20202201102
quaternary (4) 200201102
quinary (5) 13230302
senary (6) 2504402
septenary (7) 1063226
nonary (9) 222642
undecimal (11) 91093
duodecimal (12) 65102
tridecimal (13) 48824
tetradecimal (14) 36786
pentadecimal (15) 29702

As an angle

133,202° = 370 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλγσβʹ
Mayan (base 20)
𝋰·𝋭·𝋠·𝋢
Chinese
一十三萬三千二百零二
Chinese (financial)
壹拾參萬參仟貳佰零貳
In other modern scripts
Eastern Arabic ١٣٣٢٠٢ Devanagari १३३२०२ Bengali ১৩৩২০২ Tamil ௧௩௩௨௦௨ Thai ๑๓๓๒๐๒ Tibetan ༡༣༣༢༠༢ Khmer ១៣៣២០២ Lao ໑໓໓໒໐໒ Burmese ၁၃၃၂၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133202, here are decompositions:

  • 19 + 133183 = 133202
  • 151 + 133051 = 133202
  • 163 + 133039 = 133202
  • 241 + 132961 = 133202
  • 439 + 132763 = 133202
  • 463 + 132739 = 133202
  • 523 + 132679 = 133202
  • 541 + 132661 = 133202

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡒
CJK Unified Ideograph-20852
U+20852
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 92 (4 bytes).

Hex color
#020852
RGB(2, 8, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.82.

Address
0.2.8.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.82

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 133,202 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 133202 first appears in π at position 411,003 of the decimal expansion (the 411,003ordinal-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.