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131,560

131,560 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.).

131,560 (one hundred thirty-one thousand five hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 13 × 23. Its proper divisors sum to 231,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
65,131
Recamán's sequence
a(229,252) = 131,560
Square (n²)
17,308,033,600
Cube (n³)
2,277,044,900,416,000
Divisor count
64
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
42,240
Sum of prime factors
58

Primality

Prime factorization: 2 3 × 5 × 11 × 13 × 23

Nearest primes: 131,543 (−17) · 131,561 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 13 · 20 · 22 · 23 · 26 · 40 · 44 · 46 · 52 · 55 · 65 · 88 · 92 · 104 · 110 · 115 · 130 · 143 · 184 · 220 · 230 · 253 · 260 · 286 · 299 · 440 · 460 · 506 · 520 · 572 · 598 · 715 · 920 · 1012 · 1144 · 1196 · 1265 · 1430 · 1495 · 2024 · 2392 · 2530 · 2860 · 2990 · 3289 · 5060 · 5720 · 5980 · 6578 · 10120 · 11960 · 13156 · 16445 · 26312 · 32890 · 65780 (half) · 131560
Aliquot sum (sum of proper divisors): 231,320
Factor pairs (a × b = 131,560)
1 × 131560
2 × 65780
4 × 32890
5 × 26312
8 × 16445
10 × 13156
11 × 11960
13 × 10120
20 × 6578
22 × 5980
23 × 5720
26 × 5060
40 × 3289
44 × 2990
46 × 2860
52 × 2530
55 × 2392
65 × 2024
88 × 1495
92 × 1430
104 × 1265
110 × 1196
115 × 1144
130 × 1012
143 × 920
184 × 715
220 × 598
230 × 572
253 × 520
260 × 506
286 × 460
299 × 440
First multiples
131,560 · 263,120 (double) · 394,680 · 526,240 · 657,800 · 789,360 · 920,920 · 1,052,480 · 1,184,040 · 1,315,600

Sums & aliquot sequence

As consecutive integers: 26,310 + 26,311 + 26,312 + 26,313 + 26,314 11,955 + 11,956 + … + 11,965 10,114 + 10,115 + … + 10,126 8,215 + 8,216 + … + 8,230
Aliquot sequence: 131,560 231,320 289,240 455,240 624,760 781,040 1,177,168 1,278,032 1,552,144 1,728,896 1,983,904 2,461,376 2,423,044 2,413,844 1,956,256 1,936,388 1,569,352 — unresolved within range

Continued fraction of √n

√131,560 = [362; (1, 2, 2, 8, 1, 1, 8, 1, 1, 1, 8, 1, 1, 8, 2, 2, 1, 724)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred sixty
Ordinal
131560th
Binary
100000000111101000
Octal
400750
Hexadecimal
0x201E8
Base64
AgHo
One's complement
4,294,835,735 (32-bit)
Scientific notation
1.3156 × 10⁵
As a duration
131,560 s = 1 day, 12 hours, 32 minutes, 40 seconds
In other bases
ternary (3) 20200110121
quaternary (4) 200013220
quinary (5) 13202220
senary (6) 2453024
septenary (7) 1055362
nonary (9) 220417
undecimal (11) 8a930
duodecimal (12) 64174
tridecimal (13) 47b60
tetradecimal (14) 35d32
pentadecimal (15) 28eaa

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαφξʹ
Mayan (base 20)
𝋰·𝋨·𝋲·𝋠
Chinese
一十三萬一千五百六十
Chinese (financial)
壹拾參萬壹仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٣١٥٦٠ Devanagari १३१५६० Bengali ১৩১৫৬০ Tamil ௧௩௧௫௬௦ Thai ๑๓๑๕๖๐ Tibetan ༡༣༡༥༦༠ Khmer ១៣១៥៦០ Lao ໑໓໑໕໖໐ Burmese ၁၃၁၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131560, here are decompositions:

  • 17 + 131543 = 131560
  • 41 + 131519 = 131560
  • 53 + 131507 = 131560
  • 59 + 131501 = 131560
  • 71 + 131489 = 131560
  • 83 + 131477 = 131560
  • 113 + 131447 = 131560
  • 179 + 131381 = 131560

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇨
CJK Unified Ideograph-201E8
U+201E8
Other letter (Lo)

UTF-8 encoding: F0 A0 87 A8 (4 bytes).

Hex color
#0201E8
RGB(2, 1, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.232.

Address
0.2.1.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.232

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 131,560 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 131560 first appears in π at position 208,515 of the decimal expansion (the 208,515ordinal-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