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131,378

131,378 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.).

131,378 (one hundred thirty-one thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 31 × 163. Written other ways, in hexadecimal, 0x20132.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
873,131
Square (n²)
17,260,178,884
Cube (n³)
2,267,607,781,422,152
Divisor count
16
σ(n) — sum of divisors
220,416
φ(n) — Euler's totient
58,320
Sum of prime factors
209

Primality

Prime factorization: 2 × 13 × 31 × 163

Nearest primes: 131,371 (−7) · 131,381 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 31 · 62 · 163 · 326 · 403 · 806 · 2119 · 4238 · 5053 · 10106 · 65689 (half) · 131378
Aliquot sum (sum of proper divisors): 89,038
Factor pairs (a × b = 131,378)
1 × 131378
2 × 65689
13 × 10106
26 × 5053
31 × 4238
62 × 2119
163 × 806
326 × 403
First multiples
131,378 · 262,756 (double) · 394,134 · 525,512 · 656,890 · 788,268 · 919,646 · 1,051,024 · 1,182,402 · 1,313,780

Sums & aliquot sequence

As consecutive integers: 32,843 + 32,844 + 32,845 + 32,846 10,100 + 10,101 + … + 10,112 4,223 + 4,224 + … + 4,253 2,501 + 2,502 + … + 2,552
Aliquot sequence: 131,378 89,038 44,522 23,194 11,600 17,230 13,802 7,414 4,754 2,380 3,668 3,724 4,256 5,824 8,400 22,352 25,264 — unresolved within range

Continued fraction of √n

√131,378 = [362; (2, 5, 1, 10, 1, 5, 2, 724)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred seventy-eight
Ordinal
131378th
Binary
100000000100110010
Octal
400462
Hexadecimal
0x20132
Base64
AgEy
One's complement
4,294,835,917 (32-bit)
Scientific notation
1.31378 × 10⁵
As a duration
131,378 s = 1 day, 12 hours, 29 minutes, 38 seconds
In other bases
ternary (3) 20200012212
quaternary (4) 200010302
quinary (5) 13201003
senary (6) 2452122
septenary (7) 1055012
nonary (9) 220185
undecimal (11) 8a785
duodecimal (12) 64042
tridecimal (13) 47a50
tetradecimal (14) 35c42
pentadecimal (15) 28dd8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατοηʹ
Mayan (base 20)
𝋰·𝋨·𝋨·𝋲
Chinese
一十三萬一千三百七十八
Chinese (financial)
壹拾參萬壹仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١٣١٣٧٨ Devanagari १३१३७८ Bengali ১৩১৩৭৮ Tamil ௧௩௧௩௭௮ Thai ๑๓๑๓๗๘ Tibetan ༡༣༡༣༧༨ Khmer ១៣១៣៧៨ Lao ໑໓໑໓໗໘ Burmese ၁၃၁၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131378, here are decompositions:

  • 7 + 131371 = 131378
  • 61 + 131317 = 131378
  • 67 + 131311 = 131378
  • 127 + 131251 = 131378
  • 157 + 131221 = 131378
  • 229 + 131149 = 131378
  • 277 + 131101 = 131378
  • 307 + 131071 = 131378

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄲
CJK Unified Ideograph-20132
U+20132
Other letter (Lo)

UTF-8 encoding: F0 A0 84 B2 (4 bytes).

Hex color
#020132
RGB(2, 1, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.50.

Address
0.2.1.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.50

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 131,378 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 131378 first appears in π at position 294,912 of the decimal expansion (the 294,912ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.