Live analysis

1,012,100

1,012,100 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.).

1,012,100 (one million twelve thousand one hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 29 × 349. Its proper divisors sum to 1,266,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7184.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,088 1,012,089 1,012,090 1,012,091 1,012,092 1,012,093 1,012,094 1,012,095 1,012,096 1,012,097 1,012,098 1,012,099 1,012,100 1,012,101 1,012,102 1,012,103 1,012,104 1,012,105 1,012,106 1,012,107 1,012,108 1,012,109 1,012,110 1,012,111 1,012,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 12,101
Square (n²): 1,024,346,410,000
Cube (n³): 1,036,741,001,561,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,278,500
φ(n) — Euler's totient: 389,760
Sum of prime factors: 392

Primality

Prime factorization: 2 ² × 5 ² × 29 × 349

Nearest primes: 1,012,097 (−3) · 1,012,103 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 29 · 50 · 58 · 100 · 116 · 145 · 290 · 349 · 580 · 698 · 725 · 1396 · 1450 · 1745 · 2900 · 3490 · 6980 · 8725 · 10121 · 17450 · 20242 · 34900 · 40484 · 50605 · 101210 · 202420 · 253025 · 506050 (half) · 1012100

Aliquot sum (sum of proper divisors): 1,266,400

Factor pairs (a × b = 1,012,100)

1 × 1012100

2 × 506050

4 × 253025

5 × 202420

10 × 101210

20 × 50605

25 × 40484

29 × 34900

50 × 20242

58 × 17450

100 × 10121

116 × 8725

145 × 6980

290 × 3490

349 × 2900

580 × 1745

698 × 1450

725 × 1396

First multiples

1,012,100 · 2,024,200 (double) · 3,036,300 · 4,048,400 · 5,060,500 · 6,072,600 · 7,084,700 · 8,096,800 · 9,108,900 · 10,121,000

Sums & aliquot sequence

As a sum of two squares: 8² + 1,006² = 110² + 1,000² = 274² + 968² = 512² + 866²

As consecutive integers: 202,418 + 202,419 + 202,420 + 202,421 + 202,422 126,509 + 126,510 + … + 126,516 40,472 + 40,473 + … + 40,496 34,886 + 34,887 + … + 34,914

Aliquot sequence: 1,012,100 → 1,266,400 → 1,827,152 → 1,712,986 → 1,090,118 → 579,994 → 335,846 → 279,754 → 143,354 → 73,306 → 36,656 → 37,744 → 46,080 → 113,586 → 134,382 → 134,394 → 155,238 — unresolved within range

Continued fraction of √n

√1,012,100 = [1006; (31, 2, 3, 1, 1, 7, 3, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand one hundred
Ordinal: 1012100th
Binary: 11110111000110000100
Octal: 3670604
Hexadecimal: 0xF7184
Base64: D3GE
One's complement: 4,293,955,195 (32-bit)
Scientific notation: 1.0121 × 10⁶
As a duration: 1,012,100 s = 11 days, 17 hours, 8 minutes, 20 seconds

In other bases

ternary (3) 1220102100012

quaternary (4) 3313012010

quinary (5) 224341400

senary (6) 33405352

septenary (7) 11413505

nonary (9) 1812305

undecimal (11) 631451

duodecimal (12) 409858

tridecimal (13) 29589b

tetradecimal (14) 1c4bac

pentadecimal (15) 14ed35

As an angle

1,012,100° = 2,811 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢
Chinese: 一百零一萬二千一百
Chinese (financial): 壹佰零壹萬貳仟壹佰

In other modern scripts

Eastern Arabic ١٠١٢١٠٠ Devanagari १०१२१०० Bengali ১০১২১০০ Tamil ௧௦௧௨௧௦௦ Thai ๑๐๑๒๑๐๐ Tibetan ༡༠༡༢༡༠༠ Khmer ១០១២១០០ Lao ໑໐໑໒໑໐໐ Burmese ၁၀၁၂၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012100, here are decompositions:

3 + 1012097 = 1012100
7 + 1012093 = 1012100
13 + 1012087 = 1012100
127 + 1011973 = 1012100
139 + 1011961 = 1012100
157 + 1011943 = 1012100
163 + 1011937 = 1012100
211 + 1011889 = 1012100

Showing the first eight; more decompositions exist.

Hex color

#0F7184

RGB(15, 113, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.132.

Address: 0.15.113.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.132

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2100 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2100-10-01 (MMDYYYY (US, single-digit day))
2100-01-10 (DDMYYYY (Euro, single-digit month))

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 1,012,100 and was likely granted around 1911.

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

Look up US1,012,100 on Google Patents ↗ Look up on USPTO ↗