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131,380

131,380 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.).

131,380 (one hundred thirty-one thousand three hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,569. Its proper divisors sum to 144,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20134.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number 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
83,131
Square (n²)
17,260,704,400
Cube (n³)
2,267,711,344,072,000
Divisor count
12
σ(n) — sum of divisors
275,940
φ(n) — Euler's totient
52,544
Sum of prime factors
6,578

Primality

Prime factorization: 2 2 × 5 × 6569

Nearest primes: 131,371 (−9) · 131,381 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6569 · 13138 · 26276 · 32845 · 65690 (half) · 131380
Aliquot sum (sum of proper divisors): 144,560
Factor pairs (a × b = 131,380)
1 × 131380
2 × 65690
4 × 32845
5 × 26276
10 × 13138
20 × 6569
First multiples
131,380 · 262,760 (double) · 394,140 · 525,520 · 656,900 · 788,280 · 919,660 · 1,051,040 · 1,182,420 · 1,313,800

Sums & aliquot sequence

As a sum of two squares: 108² + 346² = 212² + 294²
As consecutive integers: 26,274 + 26,275 + 26,276 + 26,277 + 26,278 16,419 + 16,420 + … + 16,426 3,265 + 3,266 + … + 3,304
Aliquot sequence: 131,380 144,560 220,000 370,436 336,844 252,640 344,600 457,060 502,808 439,972 389,304 665,256 1,032,504 1,784,136 2,737,464 4,157,256 6,235,944 — unresolved within range

Continued fraction of √n

√131,380 = [362; (2, 6, 2, 2, 8, 1, 1, 1, 9, 1, 1, 3, 1, 44, 1, 1, 8, 8, 36, 8, 8, 1, 1, 44, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred eighty
Ordinal
131380th
Binary
100000000100110100
Octal
400464
Hexadecimal
0x20134
Base64
AgE0
One's complement
4,294,835,915 (32-bit)
Scientific notation
1.3138 × 10⁵
As a duration
131,380 s = 1 day, 12 hours, 29 minutes, 40 seconds
In other bases
ternary (3) 20200012221
quaternary (4) 200010310
quinary (5) 13201010
senary (6) 2452124
septenary (7) 1055014
nonary (9) 220187
undecimal (11) 8a787
duodecimal (12) 64044
tridecimal (13) 47a52
tetradecimal (14) 35c44
pentadecimal (15) 28dda

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλατπʹ
Mayan (base 20)
𝋰·𝋨·𝋩·𝋠
Chinese
一十三萬一千三百八十
Chinese (financial)
壹拾參萬壹仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣١٣٨٠ Devanagari १३१३८० Bengali ১৩১৩৮০ Tamil ௧௩௧௩௮௦ Thai ๑๓๑๓๘๐ Tibetan ༡༣༡༣༨༠ Khmer ១៣១៣៨០ Lao ໑໓໑໓໘໐ Burmese ၁၃၁၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131380, here are decompositions:

  • 17 + 131363 = 131380
  • 23 + 131357 = 131380
  • 59 + 131321 = 131380
  • 83 + 131297 = 131380
  • 113 + 131267 = 131380
  • 131 + 131249 = 131380
  • 149 + 131231 = 131380
  • 167 + 131213 = 131380

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄴
CJK Unified Ideograph-20134
U+20134
Other letter (Lo)

UTF-8 encoding: F0 A0 84 B4 (4 bytes).

Hex color
#020134
RGB(2, 1, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.52.

Address
0.2.1.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.52

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 131,380 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 131380 first appears in π at position 178,334 of the decimal expansion (the 178,334ordinal-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