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131,348

131,348 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.).

131,348 (one hundred thirty-one thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,691. Its proper divisors sum to 131,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20114.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
843,131
Square (n²)
17,252,297,104
Cube (n³)
2,266,054,720,016,192
Divisor count
12
σ(n) — sum of divisors
262,752
φ(n) — Euler's totient
56,280
Sum of prime factors
4,702

Primality

Prime factorization: 2 2 × 7 × 4691

Nearest primes: 131,321 (−27) · 131,357 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4691 · 9382 · 18764 · 32837 · 65674 (half) · 131348
Aliquot sum (sum of proper divisors): 131,404
Factor pairs (a × b = 131,348)
1 × 131348
2 × 65674
4 × 32837
7 × 18764
14 × 9382
28 × 4691
First multiples
131,348 · 262,696 (double) · 394,044 · 525,392 · 656,740 · 788,088 · 919,436 · 1,050,784 · 1,182,132 · 1,313,480

Sums & aliquot sequence

As consecutive integers: 18,761 + 18,762 + … + 18,767 16,415 + 16,416 + … + 16,422 2,318 + 2,319 + … + 2,373
Aliquot sequence: 131,348 131,404 167,300 249,340 399,812 413,308 443,492 465,052 520,772 539,770 673,286 336,646 168,326 84,166 42,086 26,818 19,838 — unresolved within range

Continued fraction of √n

√131,348 = [362; (2, 2, 1, 1, 1, 1, 2, 1, 22, 1, 1, 1, 13, 3, 1, 1, 1, 1, 5, 1, 6, 5, 3, 3, …)]

Representations

In words
one hundred thirty-one thousand three hundred forty-eight
Ordinal
131348th
Binary
100000000100010100
Octal
400424
Hexadecimal
0x20114
Base64
AgEU
One's complement
4,294,835,947 (32-bit)
Scientific notation
1.31348 × 10⁵
As a duration
131,348 s = 1 day, 12 hours, 29 minutes, 8 seconds
In other bases
ternary (3) 20200011202
quaternary (4) 200010110
quinary (5) 13200343
senary (6) 2452032
septenary (7) 1054640
nonary (9) 220152
undecimal (11) 8a758
duodecimal (12) 64018
tridecimal (13) 47a29
tetradecimal (14) 35c20
pentadecimal (15) 28db8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατμηʹ
Mayan (base 20)
𝋰·𝋨·𝋧·𝋨
Chinese
一十三萬一千三百四十八
Chinese (financial)
壹拾參萬壹仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٣١٣٤٨ Devanagari १३१३४८ Bengali ১৩১৩৪৮ Tamil ௧௩௧௩௪௮ Thai ๑๓๑๓๔๘ Tibetan ༡༣༡༣༤༨ Khmer ១៣១៣៤៨ Lao ໑໓໑໓໔໘ Burmese ၁၃၁၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131348, here are decompositions:

  • 31 + 131317 = 131348
  • 37 + 131311 = 131348
  • 97 + 131251 = 131348
  • 127 + 131221 = 131348
  • 199 + 131149 = 131348
  • 277 + 131071 = 131348
  • 307 + 131041 = 131348
  • 337 + 131011 = 131348

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄔
CJK Unified Ideograph-20114
U+20114
Other letter (Lo)

UTF-8 encoding: F0 A0 84 94 (4 bytes).

Hex color
#020114
RGB(2, 1, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.20.

Address
0.2.1.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.20

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 131,348 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

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