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1,000,100

1,000,100 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.).
Abundant Number Cube-Free Flippable Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
10,001
Flips to (rotate 180°)
10,001
Square (n²)
1,000,200,010,000
Cube (n³)
1,000,300,030,001,000,000
Divisor count
36
σ(n) — sum of divisors
2,216,004
φ(n) — Euler's totient
391,680
Sum of prime factors
224

Primality

Prime factorization: 2 2 × 5 2 × 73 × 137

Nearest primes: 1,000,099 (−1) · 1,000,117 (+17)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 73 · 100 · 137 · 146 · 274 · 292 · 365 · 548 · 685 · 730 · 1370 · 1460 · 1825 · 2740 · 3425 · 3650 · 6850 · 7300 · 10001 · 13700 · 20002 · 40004 · 50005 · 100010 · 200020 · 250025 · 500050 (half) · 1000100
Aliquot sum (sum of proper divisors): 1,215,904
Factor pairs (a × b = 1,000,100)
1 × 1000100
2 × 500050
4 × 250025
5 × 200020
10 × 100010
20 × 50005
25 × 40004
50 × 20002
73 × 13700
100 × 10001
137 × 7300
146 × 6850
274 × 3650
292 × 3425
365 × 2740
548 × 1825
685 × 1460
730 × 1370
First multiples
1,000,100 · 2,000,200 (double) · 3,000,300 · 4,000,400 · 5,000,500 · 6,000,600 · 7,000,700 · 8,000,800 · 9,000,900 · 10,001,000

Sums & aliquot sequence

As a sum of two squares: 10² + 1,000² = 64² + 998² = 218² + 976² = 592² + 806²
As consecutive integers: 200,018 + 200,019 + 200,020 + 200,021 + 200,022 125,009 + 125,010 + … + 125,016 39,992 + 39,993 + … + 40,016 24,983 + 24,984 + … + 25,022
Aliquot sequence: 1,000,100 1,215,904 1,177,970 942,394 479,174 239,590 254,330 219,790 189,170 151,354 122,246 70,834 36,734 18,370 17,918 11,554 6,266 — unresolved within range

Continued fraction of √n

√1,000,100 = [1000; (20, 2000)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million one hundred
Ordinal
1000100th
Binary
11110100001010100100
Octal
3641244
Hexadecimal
0xF42A4
Base64
D0Kk
One's complement
4,293,967,195 (32-bit)
Scientific notation
1.0001 × 10⁶
As a duration
1,000,100 s = 11 days, 13 hours, 48 minutes, 20 seconds
In other bases
ternary (3) 1212210212202
quaternary (4) 3310022210
quinary (5) 224000400
senary (6) 33234032
septenary (7) 11333513
nonary (9) 1783782
undecimal (11) 623432
duodecimal (12) 402918
tridecimal (13) 29029a
tetradecimal (14) 1c067a
pentadecimal (15) 14b4d5

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓍢
Chinese
一百萬零一百
Chinese (financial)
壹佰萬零壹佰
In other modern scripts
Eastern Arabic ١٠٠٠١٠٠ Devanagari १०००१०० Bengali ১০০০১০০ Tamil ௧௦௦௦௧௦௦ Thai ๑๐๐๐๑๐๐ Tibetan ༡༠༠༠༡༠༠ Khmer ១០០០១០០ Lao ໑໐໐໐໑໐໐ Burmese ၁၀၀၀၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000100, here are decompositions:

  • 19 + 1000081 = 1000100
  • 61 + 1000039 = 1000100
  • 67 + 1000033 = 1000100
  • 97 + 1000003 = 1000100
  • 139 + 999961 = 1000100
  • 193 + 999907 = 1000100
  • 331 + 999769 = 1000100
  • 337 + 999763 = 1000100

Showing the first eight; more decompositions exist.

Hex color
#0F42A4
RGB(15, 66, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.164.

Address
0.15.66.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.66.164

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 1,000,100 and was likely granted around 1911.

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