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131,196

131,196 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.).
Abundant Number Cube-Free Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
162
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
691,131
Square (n²)
17,212,390,416
Cube (n³)
2,258,196,773,017,536
Divisor count
36
σ(n) — sum of divisors
341,432
φ(n) — Euler's totient
38,976
Sum of prime factors
78

Primality

Prime factorization: 2 2 × 3 × 13 × 29 2

Nearest primes: 131,171 (−25) · 131,203 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 29 · 39 · 52 · 58 · 78 · 87 · 116 · 156 · 174 · 348 · 377 · 754 · 841 · 1131 · 1508 · 1682 · 2262 · 2523 · 3364 · 4524 · 5046 · 10092 · 10933 · 21866 · 32799 · 43732 · 65598 (half) · 131196
Aliquot sum (sum of proper divisors): 210,236
Factor pairs (a × b = 131,196)
1 × 131196
2 × 65598
3 × 43732
4 × 32799
6 × 21866
12 × 10933
13 × 10092
26 × 5046
29 × 4524
39 × 3364
52 × 2523
58 × 2262
78 × 1682
87 × 1508
116 × 1131
156 × 841
174 × 754
348 × 377
First multiples
131,196 · 262,392 (double) · 393,588 · 524,784 · 655,980 · 787,176 · 918,372 · 1,049,568 · 1,180,764 · 1,311,960

Sums & aliquot sequence

As consecutive integers: 43,731 + 43,732 + 43,733 16,396 + 16,397 + … + 16,403 10,086 + 10,087 + … + 10,098 5,455 + 5,456 + … + 5,478
Aliquot sequence: 131,196 210,236 189,436 167,676 230,484 307,340 407,668 305,758 152,882 76,444 62,156 49,564 37,180 55,052 41,296 42,404 31,810 — unresolved within range

Continued fraction of √n

√131,196 = [362; (4, 1, 3, 4, 20, 2, 6, 3, 1, 1, 5, 2, 7, 2, 2, 2, 4, 1, 3, 6, 1, 54, 1, 6, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred ninety-six
Ordinal
131196th
Binary
100000000001111100
Octal
400174
Hexadecimal
0x2007C
Base64
AgB8
One's complement
4,294,836,099 (32-bit)
Scientific notation
1.31196 × 10⁵
As a duration
131,196 s = 1 day, 12 hours, 26 minutes, 36 seconds
In other bases
ternary (3) 20122222010
quaternary (4) 200001330
quinary (5) 13144241
senary (6) 2451220
septenary (7) 1054332
nonary (9) 218863
undecimal (11) 8a62a
duodecimal (12) 63b10
tridecimal (13) 47940
tetradecimal (14) 35b52
pentadecimal (15) 28d16

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαρϟϛʹ
Mayan (base 20)
𝋰·𝋧·𝋳·𝋰
Chinese
一十三萬一千一百九十六
Chinese (financial)
壹拾參萬壹仟壹佰玖拾陸
In other modern scripts
Eastern Arabic ١٣١١٩٦ Devanagari १३११९६ Bengali ১৩১১৯৬ Tamil ௧௩௧௧௯௬ Thai ๑๓๑๑๙๖ Tibetan ༡༣༡༡༩༦ Khmer ១៣១១៩៦ Lao ໑໓໑໑໙໖ Burmese ၁၃၁၁၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131196, here are decompositions:

  • 47 + 131149 = 131196
  • 53 + 131143 = 131196
  • 67 + 131129 = 131196
  • 83 + 131113 = 131196
  • 137 + 131059 = 131196
  • 173 + 131023 = 131196
  • 223 + 130973 = 131196
  • 227 + 130969 = 131196

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁼
CJK Unified Ideograph-2007C
U+2007C
Other letter (Lo)

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

Hex color
#02007C
RGB(2, 0, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.124.

Address
0.2.0.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.124

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 131,196 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 131196 first appears in π at position 648,961 of the decimal expansion (the 648,961ordinal-suffix:st 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.