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131,138

131,138 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.).
Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
831,131
Square (n²)
17,197,175,044
Cube (n³)
2,255,203,140,920,072
Divisor count
32
σ(n) — sum of divisors
259,200
φ(n) — Euler's totient
48,384
Sum of prime factors
74

Primality

Prime factorization: 2 × 7 × 17 × 19 × 29

Nearest primes: 131,129 (−9) · 131,143 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 14 · 17 · 19 · 29 · 34 · 38 · 58 · 119 · 133 · 203 · 238 · 266 · 323 · 406 · 493 · 551 · 646 · 986 · 1102 · 2261 · 3451 · 3857 · 4522 · 6902 · 7714 · 9367 · 18734 · 65569 (half) · 131138
Aliquot sum (sum of proper divisors): 128,062
Factor pairs (a × b = 131,138)
1 × 131138
2 × 65569
7 × 18734
14 × 9367
17 × 7714
19 × 6902
29 × 4522
34 × 3857
38 × 3451
58 × 2261
119 × 1102
133 × 986
203 × 646
238 × 551
266 × 493
323 × 406
First multiples
131,138 · 262,276 (double) · 393,414 · 524,552 · 655,690 · 786,828 · 917,966 · 1,049,104 · 1,180,242 · 1,311,380

Sums & aliquot sequence

As consecutive integers: 32,783 + 32,784 + 32,785 + 32,786 18,731 + 18,732 + … + 18,737 7,706 + 7,707 + … + 7,722 6,893 + 6,894 + … + 6,911
Aliquot sequence: 131,138 128,062 81,530 70,534 35,270 28,234 16,406 10,138 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 1,594 — unresolved within range

Continued fraction of √n

√131,138 = [362; (7, 1, 2, 2, 1, 2, 6, 1, 1, 1, 20, 1, 1, 1, 6, 2, 1, 2, 2, 1, 7, 724)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred thirty-eight
Ordinal
131138th
Binary
100000000001000010
Octal
400102
Hexadecimal
0x20042
Base64
AgBC
One's complement
4,294,836,157 (32-bit)
Scientific notation
1.31138 × 10⁵
As a duration
131,138 s = 1 day, 12 hours, 25 minutes, 38 seconds
In other bases
ternary (3) 20122212222
quaternary (4) 200001002
quinary (5) 13144023
senary (6) 2451042
septenary (7) 1054220
nonary (9) 218788
undecimal (11) 8a587
duodecimal (12) 63a82
tridecimal (13) 478c7
tetradecimal (14) 35b10
pentadecimal (15) 28cc8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαρληʹ
Mayan (base 20)
𝋰·𝋧·𝋰·𝋲
Chinese
一十三萬一千一百三十八
Chinese (financial)
壹拾參萬壹仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٣١١٣٨ Devanagari १३११३८ Bengali ১৩১১৩৮ Tamil ௧௩௧௧௩௮ Thai ๑๓๑๑๓๘ Tibetan ༡༣༡༡༣༨ Khmer ១៣១១៣៨ Lao ໑໓໑໑໓໘ Burmese ၁၃၁၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131138, here are decompositions:

  • 37 + 131101 = 131138
  • 67 + 131071 = 131138
  • 79 + 131059 = 131138
  • 97 + 131041 = 131138
  • 127 + 131011 = 131138
  • 151 + 130987 = 131138
  • 157 + 130981 = 131138
  • 181 + 130957 = 131138

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁂
CJK Unified Ideograph-20042
U+20042
Other letter (Lo)

UTF-8 encoding: F0 A0 81 82 (4 bytes).

Hex color
#020042
RGB(2, 0, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.66.

Address
0.2.0.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.66

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 131,138 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 131138 first appears in π at position 32,273 of the decimal expansion (the 32,273ordinal-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.