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135,124

135,124 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.).

135,124 (one hundred thirty-five thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 37 × 83. Written other ways, in hexadecimal, 0x20FD4.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
421,531
Square (n²)
18,258,495,376
Cube (n³)
2,467,160,929,186,624
Divisor count
24
σ(n) — sum of divisors
268,128
φ(n) — Euler's totient
59,040
Sum of prime factors
135

Primality

Prime factorization: 2 2 × 11 × 37 × 83

Nearest primes: 135,119 (−5) · 135,131 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 37 · 44 · 74 · 83 · 148 · 166 · 332 · 407 · 814 · 913 · 1628 · 1826 · 3071 · 3652 · 6142 · 12284 · 33781 · 67562 (half) · 135124
Aliquot sum (sum of proper divisors): 133,004
Factor pairs (a × b = 135,124)
1 × 135124
2 × 67562
4 × 33781
11 × 12284
22 × 6142
37 × 3652
44 × 3071
74 × 1826
83 × 1628
148 × 913
166 × 814
332 × 407
First multiples
135,124 · 270,248 (double) · 405,372 · 540,496 · 675,620 · 810,744 · 945,868 · 1,080,992 · 1,216,116 · 1,351,240

Sums & aliquot sequence

As consecutive integers: 16,887 + 16,888 + … + 16,894 12,279 + 12,280 + … + 12,289 3,634 + 3,635 + … + 3,670 1,587 + 1,588 + … + 1,669
Aliquot sequence: 135,124 133,004 105,724 79,300 109,056 185,568 301,800 635,640 1,271,640 2,543,640 6,165,480 12,496,920 25,242,600 53,011,320 112,945,800 274,975,800 671,570,760 — unresolved within range

Continued fraction of √n

√135,124 = [367; (1, 1, 2, 4, 1, 2, 2, 1, 1, 8, 2, 21, 1, 4, 6, 1, 2, 45, 1, 1, 2, 81, 3, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred twenty-four
Ordinal
135124th
Binary
100000111111010100
Octal
407724
Hexadecimal
0x20FD4
Base64
Ag/U
One's complement
4,294,832,171 (32-bit)
Scientific notation
1.35124 × 10⁵
As a duration
135,124 s = 1 day, 13 hours, 32 minutes, 4 seconds
In other bases
ternary (3) 20212100121
quaternary (4) 200333110
quinary (5) 13310444
senary (6) 2521324
septenary (7) 1101643
nonary (9) 225317
undecimal (11) 92580
duodecimal (12) 66244
tridecimal (13) 49672
tetradecimal (14) 3735a
pentadecimal (15) 2a084

As an angle

135,124° = 375 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερκδʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋤
Chinese
一十三萬五千一百二十四
Chinese (financial)
壹拾參萬伍仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٥١٢٤ Devanagari १३५१२४ Bengali ১৩৫১২৪ Tamil ௧௩௫௧௨௪ Thai ๑๓๕๑๒๔ Tibetan ༡༣༥༡༢༤ Khmer ១៣៥១២៤ Lao ໑໓໕໑໒໔ Burmese ၁၃၅၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135124, here are decompositions:

  • 5 + 135119 = 135124
  • 23 + 135101 = 135124
  • 47 + 135077 = 135124
  • 107 + 135017 = 135124
  • 173 + 134951 = 135124
  • 251 + 134873 = 135124
  • 257 + 134867 = 135124
  • 317 + 134807 = 135124

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿔
CJK Unified Ideograph-20Fd4
U+20FD4
Other letter (Lo)

UTF-8 encoding: F0 A0 BF 94 (4 bytes).

Hex color
#020FD4
RGB(2, 15, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.212.

Address
0.2.15.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.212

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 135,124 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 135124 first appears in π at position 696,210 of the decimal expansion (the 696,210ordinal-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