Live analysis

131,200

131,200 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 Evil Number Gapful Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

131,188 131,189 131,190 131,191 131,192 131,193 131,194 131,195 131,196 131,197 131,198 131,199 131,200 131,201 131,202 131,203 131,204 131,205 131,206 131,207 131,208 131,209 131,210 131,211 131,212

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Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 18 bits
Reversed: 2,131
Square (n²): 17,213,440,000
Cube (n³): 2,258,403,328,000,000
Divisor count: 48
σ(n) — sum of divisors: 332,010
φ(n) — Euler's totient: 51,200
Sum of prime factors: 65

Primality

Prime factorization: 2 ⁷ × 5 ² × 41

Nearest primes: 131,171 (−29) · 131,203 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 41 · 50 · 64 · 80 · 82 · 100 · 128 · 160 · 164 · 200 · 205 · 320 · 328 · 400 · 410 · 640 · 656 · 800 · 820 · 1025 · 1312 · 1600 · 1640 · 2050 · 2624 · 3200 · 3280 · 4100 · 5248 · 6560 · 8200 · 13120 · 16400 · 26240 · 32800 · 65600 (half) · 131200

Aliquot sum (sum of proper divisors): 200,810

Factor pairs (a × b = 131,200)

1 × 131200

2 × 65600

4 × 32800

5 × 26240

8 × 16400

10 × 13120

16 × 8200

20 × 6560

25 × 5248

32 × 4100

40 × 3280

41 × 3200

50 × 2624

64 × 2050

80 × 1640

82 × 1600

100 × 1312

128 × 1025

160 × 820

164 × 800

200 × 656

205 × 640

320 × 410

328 × 400

First multiples

131,200 · 262,400 (double) · 393,600 · 524,800 · 656,000 · 787,200 · 918,400 · 1,049,600 · 1,180,800 · 1,312,000

Sums & aliquot sequence

As a sum of two squares: 40² + 360² = 184² + 312² = 248² + 264²

As consecutive integers: 26,238 + 26,239 + 26,240 + 26,241 + 26,242 5,236 + 5,237 + … + 5,260 3,180 + 3,181 + … + 3,220 538 + 539 + … + 742

Aliquot sequence: 131,200 → 200,810 → 169,846 → 86,978 → 44,794 → 22,400 → 40,840 → 51,140 → 56,296 → 53,144 → 71,176 → 90,104 → 103,096 → 122,624 → 122,656 → 118,886 → 59,446 — unresolved within range

Continued fraction of √n

√131,200 = [362; (4, 1, 1, 1, 3, 1, 10, 1, 1, 6, 1, 2, 1, 1, 2, 44, 1, 7, 1, 28, 11, 3, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand two hundred
Ordinal: 131200th
Binary: 100000000010000000
Octal: 400200
Hexadecimal: 0x20080
Base64: AgCA
One's complement: 4,294,836,095 (32-bit)
Scientific notation: 1.312 × 10⁵
As a duration: 131,200 s = 1 day, 12 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 20122222021

quaternary (4) 200002000

quinary (5) 13144300

senary (6) 2451224

septenary (7) 1054336

nonary (9) 218867

undecimal (11) 8a633

duodecimal (12) 63b14

tridecimal (13) 47944

tetradecimal (14) 35b56

pentadecimal (15) 28d1a

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢
Greek (Milesian): ͵ρλασʹ
Mayan (base 20): 𝋰·𝋨·𝋠·𝋠
Chinese: 一十三萬一千二百
Chinese (financial): 壹拾參萬壹仟貳佰

In other modern scripts

Eastern Arabic ١٣١٢٠٠ Devanagari १३१२०० Bengali ১৩১২০০ Tamil ௧௩௧௨௦௦ Thai ๑๓๑๒๐๐ Tibetan ༡༣༡༢༠༠ Khmer ១៣១២០០ Lao ໑໓໑໒໐໐ Burmese ၁၃၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131200, here are decompositions:

29 + 131171 = 131200
71 + 131129 = 131200
89 + 131111 = 131200
137 + 131063 = 131200
191 + 131009 = 131200
227 + 130973 = 131200
359 + 130841 = 131200
383 + 130817 = 131200

Showing the first eight; more decompositions exist.

Unicode codepoint

𠂀

CJK Unified Ideograph-20080

U+20080

Other letter (Lo)

UTF-8 encoding: F0 A0 82 80 (4 bytes).

Lookup U+20080 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020080

RGB(2, 0, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.128.

Address: 0.2.0.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.0.128

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 131,200 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 US131,200 on Google Patents ↗ Look up on USPTO ↗