Live analysis

100,200

100,200 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Properties

Parity: Even
Digit count: 6
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 2,001
Square (n²): 10,040,040,000
Cube (n³): 1,006,012,008,000,000
Divisor count: 48
σ(n) — sum of divisors: 312,480
φ(n) — Euler's totient: 26,560
Sum of prime factors: 186

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 167

Nearest primes: 100,193 (−7) · 100,207 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 150 · 167 · 200 · 300 · 334 · 501 · 600 · 668 · 835 · 1002 · 1336 · 1670 · 2004 · 2505 · 3340 · 4008 · 4175 · 5010 · 6680 · 8350 · 10020 · 12525 · 16700 · 20040 · 25050 · 33400 · 50100 (half) · 100200

Aliquot sum (sum of proper divisors): 212,280

Factor pairs (a × b = 100,200)

1 × 100200

2 × 50100

3 × 33400

4 × 25050

5 × 20040

6 × 16700

8 × 12525

10 × 10020

12 × 8350

15 × 6680

20 × 5010

24 × 4175

25 × 4008

30 × 3340

40 × 2505

50 × 2004

60 × 1670

75 × 1336

100 × 1002

120 × 835

150 × 668

167 × 600

200 × 501

300 × 334

First multiples

100,200 · 200,400 (double) · 300,600 · 400,800 · 501,000 · 601,200 · 701,400 · 801,600 · 901,800 · 1,002,000

Sums & aliquot sequence

As consecutive integers: 33,399 + 33,400 + 33,401 20,038 + 20,039 + 20,040 + 20,041 + 20,042 6,673 + 6,674 + … + 6,687 6,255 + 6,256 + … + 6,270

Aliquot sequence: 100,200 → 212,280 → 457,320 → 965,400 → 2,029,200 → 4,890,000 → 10,992,416 → 10,746,364 → 8,059,780 → 9,280,340 → 10,736,692 → 8,118,704 → 9,207,568 → 8,632,126 → 4,328,594 → 2,274,526 → 1,137,266 — unresolved within range

Representations

In words: one hundred thousand two hundred
Ordinal: 100200th
Binary: 11000011101101000
Octal: 303550
Hexadecimal: 0x18768
Base64: AYdo
One's complement: 4,294,867,095 (32-bit)

In other bases

ternary (3) 12002110010

quaternary (4) 120131220

quinary (5) 11201300

senary (6) 2051520

septenary (7) 565062

nonary (9) 162403

undecimal (11) 69311

duodecimal (12) 49ba0

tridecimal (13) 367b9

tetradecimal (14) 28732

pentadecimal (15) 1ea50

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓍢𓍢
Greek (Milesian): ͵ρσʹ
Mayan (base 20): 𝋬·𝋪·𝋪·𝋠
Chinese: 一十萬零二百
Chinese (financial): 壹拾萬零貳佰

In other modern scripts

Eastern Arabic ١٠٠٢٠٠ Devanagari १००२०० Bengali ১০০২০০ Tamil ௧௦௦௨௦௦ Thai ๑๐๐๒๐๐ Tibetan ༡༠༠༢༠༠ Khmer ១០០២០០ Lao ໑໐໐໒໐໐ Burmese ၁၀၀၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100200, here are decompositions:

7 + 100193 = 100200
11 + 100189 = 100200
17 + 100183 = 100200
31 + 100169 = 100200
47 + 100153 = 100200
71 + 100129 = 100200
97 + 100103 = 100200
131 + 100069 = 100200

Showing the first eight; more decompositions exist.

Unicode codepoint

𘝨

Tangut Ideograph-18768

U+18768

Other letter (Lo)

UTF-8 encoding: F0 98 9D A8 (4 bytes).

Lookup U+18768 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#018768

RGB(1, 135, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.104.

Address: 0.1.135.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.135.104

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 100,200 and was likely granted around 1870.

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

Look up US100,200 on Google Patents ↗ Look up on USPTO ↗