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133,050

133,050 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.).

133,050 (one hundred thirty-three thousand fifty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 5² × 887. Its proper divisors sum to 197,286, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207BA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
50,331
Square (n²)
17,702,302,500
Cube (n³)
2,355,291,347,625,000
Divisor count
24
σ(n) — sum of divisors
330,336
φ(n) — Euler's totient
35,440
Sum of prime factors
902

Primality

Prime factorization: 2 × 3 × 5 2 × 887

Nearest primes: 133,039 (−11) · 133,051 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 25 · 30 · 50 · 75 · 150 · 887 · 1774 · 2661 · 4435 · 5322 · 8870 · 13305 · 22175 · 26610 · 44350 · 66525 (half) · 133050
Aliquot sum (sum of proper divisors): 197,286
Factor pairs (a × b = 133,050)
1 × 133050
2 × 66525
3 × 44350
5 × 26610
6 × 22175
10 × 13305
15 × 8870
25 × 5322
30 × 4435
50 × 2661
75 × 1774
150 × 887
First multiples
133,050 · 266,100 (double) · 399,150 · 532,200 · 665,250 · 798,300 · 931,350 · 1,064,400 · 1,197,450 · 1,330,500

Sums & aliquot sequence

As consecutive integers: 44,349 + 44,350 + 44,351 33,261 + 33,262 + 33,263 + 33,264 26,608 + 26,609 + 26,610 + 26,611 + 26,612 11,082 + 11,083 + … + 11,093
Aliquot sequence: 133,050 197,286 201,882 201,894 351,066 351,078 514,458 793,062 925,278 925,290 1,666,710 2,778,570 4,841,910 8,290,890 13,818,870 27,468,810 43,950,330 — unresolved within range

Continued fraction of √n

√133,050 = [364; (1, 3, 5, 1, 7, 2, 1, 4, 17, 1, 1, 2, 1, 1, 1, 4, 4, 3, 5, 1, 4, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand fifty
Ordinal
133050th
Binary
100000011110111010
Octal
403672
Hexadecimal
0x207BA
Base64
Age6
One's complement
4,294,834,245 (32-bit)
Scientific notation
1.3305 × 10⁵
As a duration
133,050 s = 1 day, 12 hours, 57 minutes, 30 seconds
In other bases
ternary (3) 20202111210
quaternary (4) 200132322
quinary (5) 13224200
senary (6) 2503550
septenary (7) 1062621
nonary (9) 222453
undecimal (11) 90a65
duodecimal (12) 64bb6
tridecimal (13) 48738
tetradecimal (14) 366b8
pentadecimal (15) 29650

As an angle

133,050° = 369 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγνʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋪
Chinese
一十三萬三千零五十
Chinese (financial)
壹拾參萬參仟零伍拾
In other modern scripts
Eastern Arabic ١٣٣٠٥٠ Devanagari १३३०५० Bengali ১৩৩০৫০ Tamil ௧௩௩௦௫௦ Thai ๑๓๓๐๕๐ Tibetan ༡༣༣༠༥༠ Khmer ១៣៣០៥០ Lao ໑໓໓໐໕໐ Burmese ၁၃၃၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133050, here are decompositions:

  • 11 + 133039 = 133050
  • 17 + 133033 = 133050
  • 37 + 133013 = 133050
  • 61 + 132989 = 133050
  • 79 + 132971 = 133050
  • 83 + 132967 = 133050
  • 89 + 132961 = 133050
  • 97 + 132953 = 133050

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞺
CJK Unified Ideograph-207Ba
U+207BA
Other letter (Lo)

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

Hex color
#0207BA
RGB(2, 7, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.186.

Address
0.2.7.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.186

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 133,050 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 133050 first appears in π at position 801,754 of the decimal expansion (the 801,754ordinal-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°.