Live analysis

1,011,012

1,011,012 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.).

1,011,012 (one million eleven thousand twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 173 × 487. Its proper divisors sum to 1,366,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D44.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,011,000 1,011,001 1,011,002 1,011,003 1,011,004 1,011,005 1,011,006 1,011,007 1,011,008 1,011,009 1,011,010 1,011,011 1,011,012 1,011,013 1,011,014 1,011,015 1,011,016 1,011,017 1,011,018 1,011,019 1,011,020 1,011,021 1,011,022 1,011,023 1,011,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,101,101
Recamán's sequence: a(360,111) = 1,011,012
Square (n²): 1,022,145,264,144
Cube (n³): 1,033,401,127,792,753,728
Divisor count: 24
σ(n) — sum of divisors: 2,377,536
φ(n) — Euler's totient: 334,368
Sum of prime factors: 667

Primality

Prime factorization: 2 ² × 3 × 173 × 487

Nearest primes: 1,011,001 (−11) · 1,011,013 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 173 · 346 · 487 · 519 · 692 · 974 · 1038 · 1461 · 1948 · 2076 · 2922 · 5844 · 84251 · 168502 · 252753 · 337004 · 505506 (half) · 1011012

Aliquot sum (sum of proper divisors): 1,366,524

Factor pairs (a × b = 1,011,012)

1 × 1011012

2 × 505506

3 × 337004

4 × 252753

6 × 168502

12 × 84251

173 × 5844

346 × 2922

487 × 2076

519 × 1948

692 × 1461

974 × 1038

First multiples

1,011,012 · 2,022,024 (double) · 3,033,036 · 4,044,048 · 5,055,060 · 6,066,072 · 7,077,084 · 8,088,096 · 9,099,108 · 10,110,120

Sums & aliquot sequence

As consecutive integers: 337,003 + 337,004 + 337,005 126,373 + 126,374 + … + 126,380 42,114 + 42,115 + … + 42,137 5,758 + 5,759 + … + 5,930

Aliquot sequence: 1,011,012 → 1,366,524 → 2,176,596 → 3,388,236 → 5,018,652 → 8,421,348 → 13,326,812 → 10,529,524 → 7,922,924 → 6,919,876 → 5,992,604 → 5,165,956 → 3,874,474 → 1,937,240 → 2,652,760 → 3,859,640 → 5,013,640 — unresolved within range

Continued fraction of √n

√1,011,012 = [1005; (2, 27, 20, 1, 10, 3, 1, 1, 5, 31, 4, 7, 1, 1, 1, 1, 4, 1, 4, 2, 2, 2, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million eleven thousand twelve
Ordinal: 1011012th
Binary: 11110110110101000100
Octal: 3666504
Hexadecimal: 0xF6D44
Base64: D21E
One's complement: 4,293,956,283 (32-bit)
Scientific notation: 1.011012 × 10⁶
As a duration: 1,011,012 s = 11 days, 16 hours, 50 minutes, 12 seconds

In other bases

ternary (3) 1220100211220

quaternary (4) 3312311010

quinary (5) 224323022

senary (6) 33400340

septenary (7) 11410362

nonary (9) 1810756

undecimal (11) 630652

duodecimal (12) 4090b0

tridecimal (13) 295242

tetradecimal (14) 1c4632

pentadecimal (15) 14e85c

As an angle

1,011,012° = 2,808 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓎆𓏺𓏺
Chinese: 一百零一萬一千零一十二
Chinese (financial): 壹佰零壹萬壹仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠١١٠١٢ Devanagari १०११०१२ Bengali ১০১১০১২ Tamil ௧௦௧௧௦௧௨ Thai ๑๐๑๑๐๑๒ Tibetan ༡༠༡༡༠༡༢ Khmer ១០១១០១២ Lao ໑໐໑໑໐໑໒ Burmese ၁၀၁၁၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011012, here are decompositions:

11 + 1011001 = 1011012
19 + 1010993 = 1011012
29 + 1010983 = 1011012
31 + 1010981 = 1011012
83 + 1010929 = 1011012
109 + 1010903 = 1011012
113 + 1010899 = 1011012
131 + 1010881 = 1011012

Showing the first eight; more decompositions exist.

Hex color

#0F6D44

RGB(15, 109, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.68.

Address: 0.15.109.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.68

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 1012 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

1012-10-01 (MMDYYYY (US, single-digit day))
1012-01-10 (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 1,011,012 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 US1,011,012 on Google Patents ↗ Look up on USPTO ↗