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133,016

133,016 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.).

133,016 (one hundred thirty-three thousand sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,279. Its proper divisors sum to 135,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20798.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
610,331
Square (n²)
17,693,256,256
Cube (n³)
2,353,486,174,148,096
Divisor count
16
σ(n) — sum of divisors
268,800
φ(n) — Euler's totient
61,344
Sum of prime factors
1,298

Primality

Prime factorization: 2 3 × 13 × 1279

Nearest primes: 133,013 (−3) · 133,033 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1279 · 2558 · 5116 · 10232 · 16627 · 33254 · 66508 (half) · 133016
Aliquot sum (sum of proper divisors): 135,784
Factor pairs (a × b = 133,016)
1 × 133016
2 × 66508
4 × 33254
8 × 16627
13 × 10232
26 × 5116
52 × 2558
104 × 1279
First multiples
133,016 · 266,032 (double) · 399,048 · 532,064 · 665,080 · 798,096 · 931,112 · 1,064,128 · 1,197,144 · 1,330,160

Sums & aliquot sequence

As consecutive integers: 10,226 + 10,227 + … + 10,238 8,306 + 8,307 + … + 8,321 536 + 537 + … + 743
Aliquot sequence: 133,016 135,784 142,136 128,464 173,104 174,096 381,424 382,416 641,328 1,072,848 2,228,528 2,229,520 3,311,420 5,115,460 7,383,740 11,705,092 11,942,588 — unresolved within range

Continued fraction of √n

√133,016 = [364; (1, 2, 2, 28, 1, 2, 1, 42, 6, 3, 1, 3, 2, 12, 1, 1, 2, 2, 7, 1, 6, 1, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand sixteen
Ordinal
133016th
Binary
100000011110011000
Octal
403630
Hexadecimal
0x20798
Base64
AgeY
One's complement
4,294,834,279 (32-bit)
Scientific notation
1.33016 × 10⁵
As a duration
133,016 s = 1 day, 12 hours, 56 minutes, 56 seconds
In other bases
ternary (3) 20202110112
quaternary (4) 200132120
quinary (5) 13224031
senary (6) 2503452
septenary (7) 1062542
nonary (9) 222415
undecimal (11) 90a34
duodecimal (12) 64b88
tridecimal (13) 48710
tetradecimal (14) 36692
pentadecimal (15) 2962b

As an angle

133,016° = 369 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγιϛʹ
Mayan (base 20)
𝋰·𝋬·𝋪·𝋰
Chinese
一十三萬三千零一十六
Chinese (financial)
壹拾參萬參仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣٣٠١٦ Devanagari १३३०१६ Bengali ১৩৩০১৬ Tamil ௧௩௩௦௧௬ Thai ๑๓๓๐๑๖ Tibetan ༡༣༣༠༡༦ Khmer ១៣៣០១៦ Lao ໑໓໓໐໑໖ Burmese ၁၃၃၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133016, here are decompositions:

  • 3 + 133013 = 133016
  • 67 + 132949 = 133016
  • 157 + 132859 = 133016
  • 199 + 132817 = 133016
  • 277 + 132739 = 133016
  • 307 + 132709 = 133016
  • 337 + 132679 = 133016
  • 349 + 132667 = 133016

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞘
CJK Unified Ideograph-20798
U+20798
Other letter (Lo)

UTF-8 encoding: F0 A0 9E 98 (4 bytes).

Hex color
#020798
RGB(2, 7, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.152.

Address
0.2.7.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.152

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 133,016 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.