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131,500

131,500 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.).

131,500 (one hundred thirty-one thousand five hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 263. Its proper divisors sum to 156,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201AC.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
5,131
Recamán's sequence
a(229,372) = 131,500
Square (n²)
17,292,250,000
Cube (n³)
2,273,930,875,000,000
Divisor count
24
σ(n) — sum of divisors
288,288
φ(n) — Euler's totient
52,400
Sum of prime factors
282

Primality

Prime factorization: 2 2 × 5 3 × 263

Nearest primes: 131,497 (−3) · 131,501 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 125 · 250 · 263 · 500 · 526 · 1052 · 1315 · 2630 · 5260 · 6575 · 13150 · 26300 · 32875 · 65750 (half) · 131500
Aliquot sum (sum of proper divisors): 156,788
Factor pairs (a × b = 131,500)
1 × 131500
2 × 65750
4 × 32875
5 × 26300
10 × 13150
20 × 6575
25 × 5260
50 × 2630
100 × 1315
125 × 1052
250 × 526
263 × 500
First multiples
131,500 · 263,000 (double) · 394,500 · 526,000 · 657,500 · 789,000 · 920,500 · 1,052,000 · 1,183,500 · 1,315,000

Sums & aliquot sequence

As consecutive integers: 26,298 + 26,299 + 26,300 + 26,301 + 26,302 16,434 + 16,435 + … + 16,441 5,248 + 5,249 + … + 5,272 3,268 + 3,269 + … + 3,307
Aliquot sequence: 131,500 156,788 132,172 101,684 92,524 69,400 92,420 101,704 89,006 45,778 24,494 13,354 8,534 5,074 2,846 1,426 878 — unresolved within range

Continued fraction of √n

√131,500 = [362; (1, 1, 1, 2, 3, 3, 1, 2, 2, 5, 5, 30, 38, 7, 4, 2, 2, 1, 1, 2, 3, 19, 1, 5, …)]

Representations

In words
one hundred thirty-one thousand five hundred
Ordinal
131500th
Binary
100000000110101100
Octal
400654
Hexadecimal
0x201AC
Base64
AgGs
One's complement
4,294,835,795 (32-bit)
Scientific notation
1.315 × 10⁵
As a duration
131,500 s = 1 day, 12 hours, 31 minutes, 40 seconds
In other bases
ternary (3) 20200101101
quaternary (4) 200012230
quinary (5) 13202000
senary (6) 2452444
septenary (7) 1055245
nonary (9) 220341
undecimal (11) 8a886
duodecimal (12) 64124
tridecimal (13) 47b15
tetradecimal (14) 35ccc
pentadecimal (15) 28e6a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλαφʹ
Mayan (base 20)
𝋰·𝋨·𝋯·𝋠
Chinese
一十三萬一千五百
Chinese (financial)
壹拾參萬壹仟伍佰
In other modern scripts
Eastern Arabic ١٣١٥٠٠ Devanagari १३१५०० Bengali ১৩১৫০০ Tamil ௧௩௧௫௦௦ Thai ๑๓๑๕๐๐ Tibetan ༡༣༡༥༠༠ Khmer ១៣១៥០០ Lao ໑໓໑໕໐໐ Burmese ၁၃၁၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131500, here are decompositions:

  • 3 + 131497 = 131500
  • 11 + 131489 = 131500
  • 23 + 131477 = 131500
  • 53 + 131447 = 131500
  • 59 + 131441 = 131500
  • 137 + 131363 = 131500
  • 179 + 131321 = 131500
  • 197 + 131303 = 131500

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆬
CJK Unified Ideograph-201Ac
U+201AC
Other letter (Lo)

UTF-8 encoding: F0 A0 86 AC (4 bytes).

Hex color
#0201AC
RGB(2, 1, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.172.

Address
0.2.1.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.172

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 131,500 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 131500 first appears in π at position 449,686 of the decimal expansion (the 449,686ordinal-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