Live analysis

1,011,001

1,011,001 is a prime, odd.

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.).

1,011,001 (one million eleven thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6D39.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,010,989 1,010,990 1,010,991 1,010,992 1,010,993 1,010,994 1,010,995 1,010,996 1,010,997 1,010,998 1,010,999 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,001,101
Flips to (rotate 180°): 1,001,101
Recamán's sequence: a(360,133) = 1,011,001
Square (n²): 1,022,123,022,001
Cube (n³): 1,033,367,397,366,033,001
Divisor count: 2
σ(n) — sum of divisors: 1,011,002
φ(n) — Euler's totient: 1,011,000

Primality

1,011,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1011001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,011,001)

1 × 1011001

First multiples

1,011,001 · 2,022,002 (double) · 3,033,003 · 4,044,004 · 5,055,005 · 6,066,006 · 7,077,007 · 8,088,008 · 9,099,009 · 10,110,010

Sums & aliquot sequence

As a sum of two squares: 299² + 960²

As consecutive integers: 505,500 + 505,501

Continued fraction of √n

√1,011,001 = [1005; (2, 16, 1, 2, 4, 1, 8, 1, 2, 1, 1, 5, 80, 3, 1, 5, 1, 7, 1, 3, 1, 1, 10, 2, …)]

Representations

In words: one million eleven thousand one
Ordinal: 1011001st
Binary: 11110110110100111001
Octal: 3666471
Hexadecimal: 0xF6D39
Base64: D205
One's complement: 4,293,956,294 (32-bit)
Scientific notation: 1.011001 × 10⁶
As a duration: 1,011,001 s = 11 days, 16 hours, 50 minutes, 1 second

In other bases

ternary (3) 1220100211111

quaternary (4) 3312310321

quinary (5) 224323001

senary (6) 33400321

septenary (7) 11410345

nonary (9) 1810744

undecimal (11) 630642

duodecimal (12) 4090a1

tridecimal (13) 295234

tetradecimal (14) 1c4625

pentadecimal (15) 14e851

As an angle

1,011,001° = 2,808 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓏺
Chinese: 一百零一萬一千零一
Chinese (financial): 壹佰零壹萬壹仟零壹

In other modern scripts

Eastern Arabic ١٠١١٠٠١ Devanagari १०११००१ Bengali ১০১১০০১ Tamil ௧௦௧௧௦௦௧ Thai ๑๐๑๑๐๐๑ Tibetan ༡༠༡༡༠༠༡ Khmer ១០១១០០១ Lao ໑໐໑໑໐໐໑ Burmese ၁၀၁၁၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,010,993 (gap of 8)
Next prime: 1,011,013 (gap of 12)

Hex color

#0F6D39

RGB(15, 109, 57)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.57.

Address: 0.15.109.57
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.57

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 1001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

1001-10-01 (MMDYYYY (US, single-digit day))
1001-01-10 (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 1,011,001 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 US1,011,001 on Google Patents ↗ Look up on USPTO ↗