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133,124

133,124 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.).

133,124 (one hundred thirty-three thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 1,447. Written other ways, in hexadecimal, 0x20804.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
421,331
Square (n²)
17,721,999,376
Cube (n³)
2,359,223,444,930,624
Divisor count
12
σ(n) — sum of divisors
243,264
φ(n) — Euler's totient
63,624
Sum of prime factors
1,474

Primality

Prime factorization: 2 2 × 23 × 1447

Nearest primes: 133,121 (−3) · 133,153 (+29)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 23 · 46 · 92 · 1447 · 2894 · 5788 · 33281 · 66562 (half) · 133124
Aliquot sum (sum of proper divisors): 110,140
Factor pairs (a × b = 133,124)
1 × 133124
2 × 66562
4 × 33281
23 × 5788
46 × 2894
92 × 1447
First multiples
133,124 · 266,248 (double) · 399,372 · 532,496 · 665,620 · 798,744 · 931,868 · 1,064,992 · 1,198,116 · 1,331,240

Sums & aliquot sequence

As consecutive integers: 16,637 + 16,638 + … + 16,644 5,777 + 5,778 + … + 5,799 632 + 633 + … + 815
Aliquot sequence: 133,124 110,140 121,196 96,364 72,280 104,120 144,280 180,440 258,040 322,640 454,840 588,440 768,040 1,368,920 2,151,880 2,902,520 3,685,480 — unresolved within range

Continued fraction of √n

√133,124 = [364; (1, 6, 4, 2, 2, 1, 1, 5, 8, 1, 1, 1, 1, 2, 1, 1, 8, 1, 1, 1, 10, 4, 4, 2, …)]

Representations

In words
one hundred thirty-three thousand one hundred twenty-four
Ordinal
133124th
Binary
100000100000000100
Octal
404004
Hexadecimal
0x20804
Base64
AggE
One's complement
4,294,834,171 (32-bit)
Scientific notation
1.33124 × 10⁵
As a duration
133,124 s = 1 day, 12 hours, 58 minutes, 44 seconds
In other bases
ternary (3) 20202121112
quaternary (4) 200200010
quinary (5) 13224444
senary (6) 2504152
septenary (7) 1063055
nonary (9) 222545
undecimal (11) 91022
duodecimal (12) 65058
tridecimal (13) 48794
tetradecimal (14) 3672c
pentadecimal (15) 2969e

As an angle

133,124° = 369 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρκδʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋤
Chinese
一十三萬三千一百二十四
Chinese (financial)
壹拾參萬參仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٣١٢٤ Devanagari १३३१२४ Bengali ১৩৩১২৪ Tamil ௧௩௩௧௨௪ Thai ๑๓๓๑๒๔ Tibetan ༡༣༣༡༢༤ Khmer ១៣៣១២៤ Lao ໑໓໓໑໒໔ Burmese ၁၃၃၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133124, here are decompositions:

  • 3 + 133121 = 133124
  • 7 + 133117 = 133124
  • 37 + 133087 = 133124
  • 73 + 133051 = 133124
  • 157 + 132967 = 133124
  • 163 + 132961 = 133124
  • 307 + 132817 = 133124
  • 367 + 132757 = 133124

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠄
CJK Unified Ideograph-20804
U+20804
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 84 (4 bytes).

Hex color
#020804
RGB(2, 8, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.4.

Address
0.2.8.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.4

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 133,124 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 133124 first appears in π at position 351,570 of the decimal expansion (the 351,570ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.