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133,512

133,512 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.).

133,512 (one hundred thirty-three thousand five hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,563. Its proper divisors sum to 200,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20988.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
215,331
Square (n²)
17,825,454,144
Cube (n³)
2,379,912,033,673,728
Divisor count
16
σ(n) — sum of divisors
333,840
φ(n) — Euler's totient
44,496
Sum of prime factors
5,572

Primality

Prime factorization: 2 3 × 3 × 5563

Nearest primes: 133,499 (−13) · 133,519 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5563 · 11126 · 16689 · 22252 · 33378 · 44504 · 66756 (half) · 133512
Aliquot sum (sum of proper divisors): 200,328
Factor pairs (a × b = 133,512)
1 × 133512
2 × 66756
3 × 44504
4 × 33378
6 × 22252
8 × 16689
12 × 11126
24 × 5563
First multiples
133,512 · 267,024 (double) · 400,536 · 534,048 · 667,560 · 801,072 · 934,584 · 1,068,096 · 1,201,608 · 1,335,120

Sums & aliquot sequence

As consecutive integers: 44,503 + 44,504 + 44,505 8,337 + 8,338 + … + 8,352 2,758 + 2,759 + … + 2,805
Aliquot sequence: 133,512 200,328 331,032 561,048 861,912 1,472,628 1,963,532 1,591,348 1,503,212 1,238,548 928,918 464,462 265,498 132,752 124,486 65,234 41,272 — unresolved within range

Continued fraction of √n

√133,512 = [365; (2, 1, 1, 5, 15, 2, 1, 2, 2, 1, 3, 1, 3, 25, 1, 5, 12, 1, 7, 2, 9, 1, 4, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred twelve
Ordinal
133512th
Binary
100000100110001000
Octal
404610
Hexadecimal
0x20988
Base64
AgmI
One's complement
4,294,833,783 (32-bit)
Scientific notation
1.33512 × 10⁵
As a duration
133,512 s = 1 day, 13 hours, 5 minutes, 12 seconds
In other bases
ternary (3) 20210010220
quaternary (4) 200212020
quinary (5) 13233022
senary (6) 2510040
septenary (7) 1064151
nonary (9) 223126
undecimal (11) 91345
duodecimal (12) 65320
tridecimal (13) 48a02
tetradecimal (14) 36928
pentadecimal (15) 2985c

As an angle

133,512° = 370 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφιβʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋬
Chinese
一十三萬三千五百一十二
Chinese (financial)
壹拾參萬參仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣٥١٢ Devanagari १३३५१२ Bengali ১৩৩৫১২ Tamil ௧௩௩௫௧௨ Thai ๑๓๓๕๑๒ Tibetan ༡༣༣༥༡༢ Khmer ១៣៣៥១២ Lao ໑໓໓໕໑໒ Burmese ၁၃၃၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133512, here are decompositions:

  • 13 + 133499 = 133512
  • 19 + 133493 = 133512
  • 31 + 133481 = 133512
  • 61 + 133451 = 133512
  • 73 + 133439 = 133512
  • 109 + 133403 = 133512
  • 163 + 133349 = 133512
  • 191 + 133321 = 133512

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦈
CJK Unified Ideograph-20988
U+20988
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 88 (4 bytes).

Hex color
#020988
RGB(2, 9, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.136.

Address
0.2.9.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.136

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 133,512 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 133512 first appears in π at position 931,666 of the decimal expansion (the 931,666ordinal-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°.