Live analysis

133,120

133,120 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.).

133,120 (one hundred thirty-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 5 × 13. Its proper divisors sum to 210,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20800.

Abundant Number Evil Number Gapful Number Harshad / Niven Pentagonal Pyramidal Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

133,108 133,109 133,110 133,111 133,112 133,113 133,114 133,115 133,116 133,117 133,118 133,119 133,120 133,121 133,122 133,123 133,124 133,125 133,126 133,127 133,128 133,129 133,130 133,131 133,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 18 bits
Reversed: 21,331
Square (n²): 17,720,934,400
Cube (n³): 2,359,010,787,328,000
Divisor count: 48
σ(n) — sum of divisors: 343,980
φ(n) — Euler's totient: 49,152
Sum of prime factors: 40

Primality

Prime factorization: 2 ¹¹ × 5 × 13

Nearest primes: 133,117 (−3) · 133,121 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 64 · 65 · 80 · 104 · 128 · 130 · 160 · 208 · 256 · 260 · 320 · 416 · 512 · 520 · 640 · 832 · 1024 · 1040 · 1280 · 1664 · 2048 · 2080 · 2560 · 3328 · 4160 · 5120 · 6656 · 8320 · 10240 · 13312 · 16640 · 26624 · 33280 · 66560 (half) · 133120

Aliquot sum (sum of proper divisors): 210,860

Factor pairs (a × b = 133,120)

1 × 133120

2 × 66560

4 × 33280

5 × 26624

8 × 16640

10 × 13312

13 × 10240

16 × 8320

20 × 6656

26 × 5120

32 × 4160

40 × 3328

52 × 2560

64 × 2080

65 × 2048

80 × 1664

104 × 1280

128 × 1040

130 × 1024

160 × 832

208 × 640

256 × 520

260 × 512

320 × 416

First multiples

133,120 · 266,240 (double) · 399,360 · 532,480 · 665,600 · 798,720 · 931,840 · 1,064,960 · 1,198,080 · 1,331,200

Sums & aliquot sequence

As a sum of two squares: 96² + 352² = 224² + 288²

As consecutive integers: 26,622 + 26,623 + 26,624 + 26,625 + 26,626 10,234 + 10,235 + … + 10,246 2,016 + 2,017 + … + 2,080

Aliquot sequence: 133,120 → 210,860 → 266,596 → 255,548 → 207,292 → 168,188 → 141,772 → 121,456 → 113,896 → 109,304 → 111,616 → 113,554 → 81,134 → 41,986 → 30,014 → 16,186 → 8,096 — unresolved within range

Continued fraction of √n

√133,120 = [364; (1, 5, 1, 19, 2, 2, 2, 1, 3, 8, 1, 2, 1, 4, 1, 10, 1, 1, 2, 1, 3, 1, 6, 1, …)]

Representations

In words: one hundred thirty-three thousand one hundred twenty
Ordinal: 133120th
Binary: 100000100000000000
Octal: 404000
Hexadecimal: 0x20800
Base64: AggA
One's complement: 4,294,834,175 (32-bit)
Scientific notation: 1.3312 × 10⁵
As a duration: 133,120 s = 1 day, 12 hours, 58 minutes, 40 seconds

In other bases

ternary (3) 20202121101

quaternary (4) 200200000

quinary (5) 13224440

senary (6) 2504144

septenary (7) 1063051

nonary (9) 222541

undecimal (11) 91019

duodecimal (12) 65054

tridecimal (13) 48790

tetradecimal (14) 36728

pentadecimal (15) 2969a

Palindromic in base 11

As an angle

133,120° = 369 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ρλγρκʹ
Mayan (base 20): 𝋰·𝋬·𝋰·𝋠
Chinese: 一十三萬三千一百二十
Chinese (financial): 壹拾參萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٣٣١٢٠ Devanagari १३३१२० Bengali ১৩৩১২০ Tamil ௧௩௩௧௨௦ Thai ๑๓๓๑๒๐ Tibetan ༡༣༣༡༢༠ Khmer ១៣៣១២០ Lao ໑໓໓໑໒໐ Burmese ၁၃၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133120, here are decompositions:

3 + 133117 = 133120
11 + 133109 = 133120
17 + 133103 = 133120
23 + 133097 = 133120
47 + 133073 = 133120
107 + 133013 = 133120
131 + 132989 = 133120
149 + 132971 = 133120

Showing the first eight; more decompositions exist.

Unicode codepoint

𠠀

CJK Unified Ideograph-20800

U+20800

Other letter (Lo)

UTF-8 encoding: F0 A0 A0 80 (4 bytes).

Lookup U+20800 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020800

RGB(2, 8, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.0.

Address: 0.2.8.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.8.0

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 133,120 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US133,120 on Google Patents ↗ Look up on USPTO ↗