Live analysis

131,364

131,364 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.).

131,364 (one hundred thirty-one thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 41 × 89. Its proper divisors sum to 212,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20124.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

131,352 131,353 131,354 131,355 131,356 131,357 131,358 131,359 131,360 131,361 131,362 131,363 131,364 131,365 131,366 131,367 131,368 131,369 131,370 131,371 131,372 131,373 131,374 131,375 131,376

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 216
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 463,131
Square (n²): 17,256,500,496
Cube (n³): 2,266,882,931,156,544
Divisor count: 36
σ(n) — sum of divisors: 343,980
φ(n) — Euler's totient: 42,240
Sum of prime factors: 140

Primality

Prime factorization: 2 ² × 3 ² × 41 × 89

Nearest primes: 131,363 (−1) · 131,371 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 41 · 82 · 89 · 123 · 164 · 178 · 246 · 267 · 356 · 369 · 492 · 534 · 738 · 801 · 1068 · 1476 · 1602 · 3204 · 3649 · 7298 · 10947 · 14596 · 21894 · 32841 · 43788 · 65682 (half) · 131364

Aliquot sum (sum of proper divisors): 212,616

Factor pairs (a × b = 131,364)

1 × 131364

2 × 65682

3 × 43788

4 × 32841

6 × 21894

9 × 14596

12 × 10947

18 × 7298

36 × 3649

41 × 3204

82 × 1602

89 × 1476

123 × 1068

164 × 801

178 × 738

246 × 534

267 × 492

356 × 369

First multiples

131,364 · 262,728 (double) · 394,092 · 525,456 · 656,820 · 788,184 · 919,548 · 1,050,912 · 1,182,276 · 1,313,640

Sums & aliquot sequence

As a sum of two squares: 42² + 360² = 120² + 342²

As consecutive integers: 43,787 + 43,788 + 43,789 16,417 + 16,418 + … + 16,424 14,592 + 14,593 + … + 14,600 5,462 + 5,463 + … + 5,485

Aliquot sequence: 131,364 → 212,616 → 363,414 → 383,514 → 402,726 → 402,738 → 543,438 → 879,282 → 1,179,918 → 1,376,610 → 1,927,326 → 1,927,338 → 2,528,982 → 3,247,074 → 4,033,566 → 4,745,178 → 5,536,080 — unresolved within range

Continued fraction of √n

√131,364 = [362; (2, 3, 1, 3, 1, 3, 22, 2, 1, 1, 2, 1, 35, 1, 1, 10, 1, 4, 1, 1, 6, 4, 2, 1, …)]

Representations

In words: one hundred thirty-one thousand three hundred sixty-four
Ordinal: 131364th
Binary: 100000000100100100
Octal: 400444
Hexadecimal: 0x20124
Base64: AgEk
One's complement: 4,294,835,931 (32-bit)
Scientific notation: 1.31364 × 10⁵
As a duration: 131,364 s = 1 day, 12 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 20200012100

quaternary (4) 200010210

quinary (5) 13200424

senary (6) 2452100

septenary (7) 1054662

nonary (9) 220170

undecimal (11) 8a772

duodecimal (12) 64030

tridecimal (13) 47a3c

tetradecimal (14) 35c32

pentadecimal (15) 28dc9

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλατξδʹ
Mayan (base 20): 𝋰·𝋨·𝋨·𝋤
Chinese: 一十三萬一千三百六十四
Chinese (financial): 壹拾參萬壹仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٣١٣٦٤ Devanagari १३१३६४ Bengali ১৩১৩৬৪ Tamil ௧௩௧௩௬௪ Thai ๑๓๑๓๖๔ Tibetan ༡༣༡༣༦༤ Khmer ១៣១៣៦៤ Lao ໑໓໑໓໖໔ Burmese ၁၃၁၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131364, here are decompositions:

7 + 131357 = 131364
43 + 131321 = 131364
47 + 131317 = 131364
53 + 131311 = 131364
61 + 131303 = 131364
67 + 131297 = 131364
71 + 131293 = 131364
97 + 131267 = 131364

Showing the first eight; more decompositions exist.

Unicode codepoint

𠄤

CJK Unified Ideograph-20124

U+20124

Other letter (Lo)

UTF-8 encoding: F0 A0 84 A4 (4 bytes).

Lookup U+20124 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020124

RGB(2, 1, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.36.

Address: 0.2.1.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.1.36

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 131,364 and was likely granted around 1872.

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

Look up US131,364 on Google Patents ↗ Look up on USPTO ↗