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131,320

131,320 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.).

131,320 (one hundred thirty-one thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 7² × 67. Its proper divisors sum to 217,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x200F8.

Abundant 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
23,131
Recamán's sequence
a(24,395) = 131,320
Square (n²)
17,244,942,400
Cube (n³)
2,264,605,835,968,000
Divisor count
48
σ(n) — sum of divisors
348,840
φ(n) — Euler's totient
44,352
Sum of prime factors
92

Primality

Prime factorization: 2 3 × 5 × 7 2 × 67

Nearest primes: 131,317 (−3) · 131,321 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 49 · 56 · 67 · 70 · 98 · 134 · 140 · 196 · 245 · 268 · 280 · 335 · 392 · 469 · 490 · 536 · 670 · 938 · 980 · 1340 · 1876 · 1960 · 2345 · 2680 · 3283 · 3752 · 4690 · 6566 · 9380 · 13132 · 16415 · 18760 · 26264 · 32830 · 65660 (half) · 131320
Aliquot sum (sum of proper divisors): 217,520
Factor pairs (a × b = 131,320)
1 × 131320
2 × 65660
4 × 32830
5 × 26264
7 × 18760
8 × 16415
10 × 13132
14 × 9380
20 × 6566
28 × 4690
35 × 3752
40 × 3283
49 × 2680
56 × 2345
67 × 1960
70 × 1876
98 × 1340
134 × 980
140 × 938
196 × 670
245 × 536
268 × 490
280 × 469
335 × 392
First multiples
131,320 · 262,640 (double) · 393,960 · 525,280 · 656,600 · 787,920 · 919,240 · 1,050,560 · 1,181,880 · 1,313,200

Sums & aliquot sequence

As consecutive integers: 26,262 + 26,263 + 26,264 + 26,265 + 26,266 18,757 + 18,758 + … + 18,763 8,200 + 8,201 + … + 8,215 3,735 + 3,736 + … + 3,769
Aliquot sequence: 131,320 217,520 288,400 511,152 869,712 1,377,168 2,455,920 6,096,360 12,410,520 24,821,400 54,079,800 114,860,280 229,720,920 586,728,840 1,173,458,040 2,346,916,440 5,460,083,880 — unresolved within range

Continued fraction of √n

√131,320 = [362; (2, 1, 1, 1, 1, 1, 35, 1, 1, 1, 1, 1, 2, 724)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred twenty
Ordinal
131320th
Binary
100000000011111000
Octal
400370
Hexadecimal
0x200F8
Base64
AgD4
One's complement
4,294,835,975 (32-bit)
Scientific notation
1.3132 × 10⁵
As a duration
131,320 s = 1 day, 12 hours, 28 minutes, 40 seconds
In other bases
ternary (3) 20200010201
quaternary (4) 200003320
quinary (5) 13200240
senary (6) 2451544
septenary (7) 1054600
nonary (9) 220121
undecimal (11) 8a732
duodecimal (12) 63bb4
tridecimal (13) 47a07
tetradecimal (14) 35c00
pentadecimal (15) 28d9a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλατκʹ
Mayan (base 20)
𝋰·𝋨·𝋦·𝋠
Chinese
一十三萬一千三百二十
Chinese (financial)
壹拾參萬壹仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣١٣٢٠ Devanagari १३१३२० Bengali ১৩১৩২০ Tamil ௧௩௧௩௨௦ Thai ๑๓๑๓๒๐ Tibetan ༡༣༡༣༢༠ Khmer ១៣១៣២០ Lao ໑໓໑໓໒໐ Burmese ၁၃၁၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131320, here are decompositions:

  • 3 + 131317 = 131320
  • 17 + 131303 = 131320
  • 23 + 131297 = 131320
  • 53 + 131267 = 131320
  • 71 + 131249 = 131320
  • 89 + 131231 = 131320
  • 107 + 131213 = 131320
  • 149 + 131171 = 131320

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃸
CJK Unified Ideograph-200F8
U+200F8
Other letter (Lo)

UTF-8 encoding: F0 A0 83 B8 (4 bytes).

Hex color
#0200F8
RGB(2, 0, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.248.

Address
0.2.0.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.248

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 131,320 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading