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133,110

133,110 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.).

133,110 (one hundred thirty-three thousand one hundred ten) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3³ × 5 × 17 × 29. Its proper divisors sum to 255,690, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207F6.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
11,331
Square (n²)
17,718,272,100
Cube (n³)
2,358,479,199,231,000
Divisor count
64
σ(n) — sum of divisors
388,800
φ(n) — Euler's totient
32,256
Sum of prime factors
62

Primality

Prime factorization: 2 × 3 3 × 5 × 17 × 29

Nearest primes: 133,109 (−1) · 133,117 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 27 · 29 · 30 · 34 · 45 · 51 · 54 · 58 · 85 · 87 · 90 · 102 · 135 · 145 · 153 · 170 · 174 · 255 · 261 · 270 · 290 · 306 · 435 · 459 · 493 · 510 · 522 · 765 · 783 · 870 · 918 · 986 · 1305 · 1479 · 1530 · 1566 · 2295 · 2465 · 2610 · 2958 · 3915 · 4437 · 4590 · 4930 · 7395 · 7830 · 8874 · 13311 · 14790 · 22185 · 26622 · 44370 · 66555 (half) · 133110
Aliquot sum (sum of proper divisors): 255,690
Factor pairs (a × b = 133,110)
1 × 133110
2 × 66555
3 × 44370
5 × 26622
6 × 22185
9 × 14790
10 × 13311
15 × 8874
17 × 7830
18 × 7395
27 × 4930
29 × 4590
30 × 4437
34 × 3915
45 × 2958
51 × 2610
54 × 2465
58 × 2295
85 × 1566
87 × 1530
90 × 1479
102 × 1305
135 × 986
145 × 918
153 × 870
170 × 783
174 × 765
255 × 522
261 × 510
270 × 493
290 × 459
306 × 435
First multiples
133,110 · 266,220 (double) · 399,330 · 532,440 · 665,550 · 798,660 · 931,770 · 1,064,880 · 1,197,990 · 1,331,100

Sums & aliquot sequence

As consecutive integers: 44,369 + 44,370 + 44,371 33,276 + 33,277 + 33,278 + 33,279 26,620 + 26,621 + 26,622 + 26,623 + 26,624 14,786 + 14,787 + … + 14,794
Aliquot sequence: 133,110 255,690 426,870 827,658 1,190,358 1,587,690 3,129,750 6,069,258 8,495,838 11,328,330 18,927,798 18,993,162 19,637,718 19,837,482 27,893,718 32,674,530 56,947,614 — unresolved within range

Continued fraction of √n

√133,110 = [364; (1, 5, 2, 1, 7, 1, 4, 80, 1, 6, 1, 3, 2, 3, 1, 6, 1, 80, 4, 1, 7, 1, 2, 5, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred ten
Ordinal
133110th
Binary
100000011111110110
Octal
403766
Hexadecimal
0x207F6
Base64
Agf2
One's complement
4,294,834,185 (32-bit)
Scientific notation
1.3311 × 10⁵
As a duration
133,110 s = 1 day, 12 hours, 58 minutes, 30 seconds
In other bases
ternary (3) 20202121000
quaternary (4) 200133312
quinary (5) 13224420
senary (6) 2504130
septenary (7) 1063035
nonary (9) 222530
undecimal (11) 9100a
duodecimal (12) 65046
tridecimal (13) 48783
tetradecimal (14) 3671c
pentadecimal (15) 29690

As an angle

133,110° = 369 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆
Greek (Milesian)
͵ρλγριʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋪
Chinese
一十三萬三千一百一十
Chinese (financial)
壹拾參萬參仟壹佰壹拾
In other modern scripts
Eastern Arabic ١٣٣١١٠ Devanagari १३३११० Bengali ১৩৩১১০ Tamil ௧௩௩௧௧௦ Thai ๑๓๓๑๑๐ Tibetan ༡༣༣༡༡༠ Khmer ១៣៣១១០ Lao ໑໓໓໑໑໐ Burmese ၁၃၃၁၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133110, here are decompositions:

  • 7 + 133103 = 133110
  • 13 + 133097 = 133110
  • 23 + 133087 = 133110
  • 37 + 133073 = 133110
  • 41 + 133069 = 133110
  • 59 + 133051 = 133110
  • 71 + 133039 = 133110
  • 97 + 133013 = 133110

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟶
CJK Unified Ideograph-207F6
U+207F6
Other letter (Lo)

UTF-8 encoding: F0 A0 9F B6 (4 bytes).

Hex color
#0207F6
RGB(2, 7, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.246.

Address
0.2.7.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.246

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 133,110 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 133110 first appears in π at position 877,740 of the decimal expansion (the 877,740ordinal-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°.