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131,296

131,296 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
324
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
692,131
Square (n²)
17,238,639,616
Cube (n³)
2,263,364,427,022,336
Divisor count
24
σ(n) — sum of divisors
282,744
φ(n) — Euler's totient
59,520
Sum of prime factors
394

Primality

Prime factorization: 2 5 × 11 × 373

Nearest primes: 131,293 (−3) · 131,297 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 373 · 746 · 1492 · 2984 · 4103 · 5968 · 8206 · 11936 · 16412 · 32824 · 65648 (half) · 131296
Aliquot sum (sum of proper divisors): 151,448
Factor pairs (a × b = 131,296)
1 × 131296
2 × 65648
4 × 32824
8 × 16412
11 × 11936
16 × 8206
22 × 5968
32 × 4103
44 × 2984
88 × 1492
176 × 746
352 × 373
First multiples
131,296 · 262,592 (double) · 393,888 · 525,184 · 656,480 · 787,776 · 919,072 · 1,050,368 · 1,181,664 · 1,312,960

Sums & aliquot sequence

As consecutive integers: 11,931 + 11,932 + … + 11,941 2,020 + 2,021 + … + 2,083 166 + 167 + … + 538
Aliquot sequence: 131,296 151,448 158,512 148,636 111,484 88,100 103,294 51,650 44,512 50,744 44,416 44,324 44,380 62,468 69,244 69,300 201,516 — unresolved within range

Continued fraction of √n

√131,296 = [362; (2, 1, 6, 1, 25, 80, 2, 14, 3, 2, 2, 2, 4, 8, 1, 2, 1, 1, 2, 1, 3, 1, 12, 2, …)]

Representations

In words
one hundred thirty-one thousand two hundred ninety-six
Ordinal
131296th
Binary
100000000011100000
Octal
400340
Hexadecimal
0x200E0
Base64
AgDg
One's complement
4,294,835,999 (32-bit)
Scientific notation
1.31296 × 10⁵
As a duration
131,296 s = 1 day, 12 hours, 28 minutes, 16 seconds
In other bases
ternary (3) 20200002211
quaternary (4) 200003200
quinary (5) 13200141
senary (6) 2451504
septenary (7) 1054534
nonary (9) 220084
undecimal (11) 8a710
duodecimal (12) 63b94
tridecimal (13) 479b9
tetradecimal (14) 35bc4
pentadecimal (15) 28d81

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλασϟϛʹ
Mayan (base 20)
𝋰·𝋨·𝋤·𝋰
Chinese
一十三萬一千二百九十六
Chinese (financial)
壹拾參萬壹仟貳佰玖拾陸
In other modern scripts
Eastern Arabic ١٣١٢٩٦ Devanagari १३१२९६ Bengali ১৩১২৯৬ Tamil ௧௩௧௨௯௬ Thai ๑๓๑๒๙๖ Tibetan ༡༣༡༢༩༦ Khmer ១៣១២៩៦ Lao ໑໓໑໒໙໖ Burmese ၁၃၁၂၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131296, here are decompositions:

  • 3 + 131293 = 131296
  • 29 + 131267 = 131296
  • 47 + 131249 = 131296
  • 83 + 131213 = 131296
  • 167 + 131129 = 131296
  • 233 + 131063 = 131296
  • 467 + 130829 = 131296
  • 479 + 130817 = 131296

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃠
CJK Unified Ideograph-200E0
U+200E0
Other letter (Lo)

UTF-8 encoding: F0 A0 83 A0 (4 bytes).

Hex color
#0200E0
RGB(2, 0, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.224.

Address
0.2.0.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.224

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 131,296 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000131296
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.