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131,338

131,338 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.).

131,338 (one hundred thirty-one thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 97 × 677. Written other ways, in hexadecimal, 0x2010A.

Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
833,131
Square (n²)
17,249,670,244
Cube (n³)
2,265,537,190,506,472
Divisor count
8
σ(n) — sum of divisors
199,332
φ(n) — Euler's totient
64,896
Sum of prime factors
776

Primality

Prime factorization: 2 × 97 × 677

Nearest primes: 131,321 (−17) · 131,357 (+19)

Divisors & multiples

All divisors (8)
1 · 2 · 97 · 194 · 677 · 1354 · 65669 (half) · 131338
Aliquot sum (sum of proper divisors): 67,994
Factor pairs (a × b = 131,338)
1 × 131338
2 × 65669
97 × 1354
194 × 677
First multiples
131,338 · 262,676 (double) · 394,014 · 525,352 · 656,690 · 788,028 · 919,366 · 1,050,704 · 1,182,042 · 1,313,380

Sums & aliquot sequence

As a sum of two squares: 117² + 343² = 143² + 333²
As consecutive integers: 32,833 + 32,834 + 32,835 + 32,836 1,306 + 1,307 + … + 1,402 145 + 146 + … + 532
Aliquot sequence: 131,338 67,994 34,000 53,048 51,952 55,184 51,766 39,962 28,078 14,762 9,976 9,824 9,580 10,580 12,646 6,326 3,166 — unresolved within range

Continued fraction of √n

√131,338 = [362; (2, 2, 6, 2, 3, 1, 1, 12, 1, 6, 9, 32, 1, 5, 8, 3, 1, 5, 5, 2, 4, 21, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand three hundred thirty-eight
Ordinal
131338th
Binary
100000000100001010
Octal
400412
Hexadecimal
0x2010A
Base64
AgEK
One's complement
4,294,835,957 (32-bit)
Scientific notation
1.31338 × 10⁵
As a duration
131,338 s = 1 day, 12 hours, 28 minutes, 58 seconds
In other bases
ternary (3) 20200011101
quaternary (4) 200010022
quinary (5) 13200323
senary (6) 2452014
septenary (7) 1054624
nonary (9) 220141
undecimal (11) 8a749
duodecimal (12) 6400a
tridecimal (13) 47a1c
tetradecimal (14) 35c14
pentadecimal (15) 28dad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατληʹ
Mayan (base 20)
𝋰·𝋨·𝋦·𝋲
Chinese
一十三萬一千三百三十八
Chinese (financial)
壹拾參萬壹仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣١٣٣٨ Devanagari १३१३३८ Bengali ১৩১৩৩৮ Tamil ௧௩௧௩௩௮ Thai ๑๓๑๓๓๘ Tibetan ༡༣༡༣༣༨ Khmer ១៣១៣៣៨ Lao ໑໓໑໓໓໘ Burmese ၁၃၁၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131338, here are decompositions:

  • 17 + 131321 = 131338
  • 41 + 131297 = 131338
  • 71 + 131267 = 131338
  • 89 + 131249 = 131338
  • 107 + 131231 = 131338
  • 167 + 131171 = 131338
  • 227 + 131111 = 131338
  • 479 + 130859 = 131338

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄊
CJK Unified Ideograph-2010A
U+2010A
Other letter (Lo)

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

Hex color
#02010A
RGB(2, 1, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.10.

Address
0.2.1.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.10

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 131,338 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 131338 first appears in π at position 83,133 of the decimal expansion (the 83,133ordinal-suffix:rd 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