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131,264

131,264 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 Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
462,131
Square (n²)
17,230,237,696
Cube (n³)
2,261,709,920,927,744
Divisor count
28
σ(n) — sum of divisors
298,704
φ(n) — Euler's totient
56,064
Sum of prime factors
312

Primality

Prime factorization: 2 6 × 7 × 293

Nearest primes: 131,251 (−13) · 131,267 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 293 · 448 · 586 · 1172 · 2051 · 2344 · 4102 · 4688 · 8204 · 9376 · 16408 · 18752 · 32816 · 65632 (half) · 131264
Aliquot sum (sum of proper divisors): 167,440
Factor pairs (a × b = 131,264)
1 × 131264
2 × 65632
4 × 32816
7 × 18752
8 × 16408
14 × 9376
16 × 8204
28 × 4688
32 × 4102
56 × 2344
64 × 2051
112 × 1172
224 × 586
293 × 448
First multiples
131,264 · 262,528 (double) · 393,792 · 525,056 · 656,320 · 787,584 · 918,848 · 1,050,112 · 1,181,376 · 1,312,640

Sums & aliquot sequence

As consecutive integers: 18,749 + 18,750 + … + 18,755 962 + 963 + … + 1,089 302 + 303 + … + 594
Aliquot sequence: 131,264 167,440 332,528 404,032 418,928 392,776 369,524 277,150 262,994 131,500 156,788 132,172 101,684 92,524 69,400 92,420 101,704 — unresolved within range

Continued fraction of √n

√131,264 = [362; (3, 3, 2, 2, 1, 2, 12, 1, 4, 7, 23, 4, 4, 10, 1, 10, 2, 2, 3, 4, 4, 1, 5, 28, …)]

Representations

In words
one hundred thirty-one thousand two hundred sixty-four
Ordinal
131264th
Binary
100000000011000000
Octal
400300
Hexadecimal
0x200C0
Base64
AgDA
One's complement
4,294,836,031 (32-bit)
Scientific notation
1.31264 × 10⁵
As a duration
131,264 s = 1 day, 12 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 20200001122
quaternary (4) 200003000
quinary (5) 13200024
senary (6) 2451412
septenary (7) 1054460
nonary (9) 220048
undecimal (11) 8a691
duodecimal (12) 63b68
tridecimal (13) 47993
tetradecimal (14) 35ba0
pentadecimal (15) 28d5e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλασξδʹ
Mayan (base 20)
𝋰·𝋨·𝋣·𝋤
Chinese
一十三萬一千二百六十四
Chinese (financial)
壹拾參萬壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٣١٢٦٤ Devanagari १३१२६४ Bengali ১৩১২৬৪ Tamil ௧௩௧௨௬௪ Thai ๑๓๑๒๖๔ Tibetan ༡༣༡༢༦༤ Khmer ១៣១២៦៤ Lao ໑໓໑໒໖໔ Burmese ၁၃၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131264, here are decompositions:

  • 13 + 131251 = 131264
  • 43 + 131221 = 131264
  • 61 + 131203 = 131264
  • 151 + 131113 = 131264
  • 163 + 131101 = 131264
  • 193 + 131071 = 131264
  • 223 + 131041 = 131264
  • 241 + 131023 = 131264

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃀
CJK Unified Ideograph-200C0
U+200C0
Other letter (Lo)

UTF-8 encoding: F0 A0 83 80 (4 bytes).

Hex color
#0200C0
RGB(2, 0, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.192.

Address
0.2.0.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.192

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 131,264 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 131264 first appears in π at position 567,022 of the decimal expansion (the 567,022ordinal-suffix:nd 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.