Live analysis

134,100

134,100 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.).

134,100 (one hundred thirty-four thousand one hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5² × 149. Its proper divisors sum to 289,050, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20BD4.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

134,088 134,089 134,090 134,091 134,092 134,093 134,094 134,095 134,096 134,097 134,098 134,099 134,100 134,101 134,102 134,103 134,104 134,105 134,106 134,107 134,108 134,109 134,110 134,111 134,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 1,431
Square (n²): 17,982,810,000
Cube (n³): 2,411,494,821,000,000
Divisor count: 54
σ(n) — sum of divisors: 423,150
φ(n) — Euler's totient: 35,520
Sum of prime factors: 169

Primality

Prime factorization: 2 ² × 3 ² × 5 ² × 149

Nearest primes: 134,093 (−7) · 134,129 (+29)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 149 · 150 · 180 · 225 · 298 · 300 · 447 · 450 · 596 · 745 · 894 · 900 · 1341 · 1490 · 1788 · 2235 · 2682 · 2980 · 3725 · 4470 · 5364 · 6705 · 7450 · 8940 · 11175 · 13410 · 14900 · 22350 · 26820 · 33525 · 44700 · 67050 (half) · 134100

Aliquot sum (sum of proper divisors): 289,050

Factor pairs (a × b = 134,100)

1 × 134100

2 × 67050

3 × 44700

4 × 33525

5 × 26820

6 × 22350

9 × 14900

10 × 13410

12 × 11175

15 × 8940

18 × 7450

20 × 6705

25 × 5364

30 × 4470

36 × 3725

45 × 2980

50 × 2682

60 × 2235

75 × 1788

90 × 1490

100 × 1341

149 × 900

150 × 894

180 × 745

225 × 596

298 × 450

300 × 447

First multiples

134,100 · 268,200 (double) · 402,300 · 536,400 · 670,500 · 804,600 · 938,700 · 1,072,800 · 1,206,900 · 1,341,000

Sums & aliquot sequence

As a sum of two squares: 12² + 366² = 114² + 348² = 210² + 300²

As consecutive integers: 44,699 + 44,700 + 44,701 26,818 + 26,819 + 26,820 + 26,821 + 26,822 16,759 + 16,760 + … + 16,766 14,896 + 14,897 + … + 14,904

Aliquot sequence: 134,100 → 289,050 → 460,902 → 587,418 → 755,238 → 892,698 → 892,710 → 1,990,170 → 4,622,310 → 11,551,770 → 19,303,470 → 30,885,786 → 39,299,238 → 58,823,514 → 68,627,472 → 109,170,672 → 200,372,016 — unresolved within range

Continued fraction of √n

√134,100 = [366; (5, 11, 1, 4, 5, 1, 19, 1, 1, 45, 3, 1, 4, 2, 1, 80, 1, 2, 4, 1, 3, 45, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-four thousand one hundred
Ordinal: 134100th
Binary: 100000101111010100
Octal: 405724
Hexadecimal: 0x20BD4
Base64: AgvU
One's complement: 4,294,833,195 (32-bit)
Scientific notation: 1.341 × 10⁵
As a duration: 134,100 s = 1 day, 13 hours, 15 minutes

In other bases

ternary (3) 20210221200

quaternary (4) 200233110

quinary (5) 13242400

senary (6) 2512500

septenary (7) 1065651

nonary (9) 223850

undecimal (11) 9182a

duodecimal (12) 65730

tridecimal (13) 49065

tetradecimal (14) 36c28

pentadecimal (15) 29b00

As an angle

134,100° = 372 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ρλδρʹ
Mayan (base 20): 𝋰·𝋯·𝋥·𝋠
Chinese: 一十三萬四千一百
Chinese (financial): 壹拾參萬肆仟壹佰

In other modern scripts

Eastern Arabic ١٣٤١٠٠ Devanagari १३४१०० Bengali ১৩৪১০০ Tamil ௧௩௪௧௦௦ Thai ๑๓๔๑๐๐ Tibetan ༡༣༤༡༠༠ Khmer ១៣៤១០០ Lao ໑໓໔໑໐໐ Burmese ၁၃၄၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134100, here are decompositions:

7 + 134093 = 134100
11 + 134089 = 134100
13 + 134087 = 134100
19 + 134081 = 134100
23 + 134077 = 134100
41 + 134059 = 134100
47 + 134053 = 134100
53 + 134047 = 134100

Showing the first eight; more decompositions exist.

Unicode codepoint

𠯔

CJK Unified Ideograph-20Bd4

U+20BD4

Other letter (Lo)

UTF-8 encoding: F0 A0 AF 94 (4 bytes).

Lookup U+20BD4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020BD4

RGB(2, 11, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.212.

Address: 0.2.11.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.11.212

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 134,100 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 US134,100 on Google Patents ↗ Look up on USPTO ↗