Live analysis

1,002,121

1,002,121 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.).

1,002,121 (one million two thousand one hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4A89.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114 1,002,115 1,002,116 1,002,117 1,002,118 1,002,119 1,002,120 1,002,121 1,002,122 1,002,123 1,002,124 1,002,125 1,002,126 1,002,127 1,002,128 1,002,129 1,002,130 1,002,131 1,002,132 1,002,133

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 1,212,001
Square (n²): 1,004,246,498,641
Cube (n³): 1,006,376,505,464,617,561
Divisor count: 2
σ(n) — sum of divisors: 1,002,122
φ(n) — Euler's totient: 1,002,120

Primality

1,002,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002121

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,121)

1 × 1002121

First multiples

1,002,121 · 2,004,242 (double) · 3,006,363 · 4,008,484 · 5,010,605 · 6,012,726 · 7,014,847 · 8,016,968 · 9,019,089 · 10,021,210

Sums & aliquot sequence

As a sum of two squares: 355² + 936²

As consecutive integers: 501,060 + 501,061

Continued fraction of √n

√1,002,121 = [1001; (16, 1, 2, 6, 7, 5, 1, 2, 7, 1, 3, 18, 1, 4, 3, 1, 3, 4, 1, 3, 30, 1, 1, 5, …)]

Representations

In words: one million two thousand one hundred twenty-one
Ordinal: 1002121st
Binary: 11110100101010001001
Octal: 3645211
Hexadecimal: 0xF4A89
Base64: D0qJ
One's complement: 4,293,965,174 (32-bit)
Scientific notation: 1.002121 × 10⁶
As a duration: 1,002,121 s = 11 days, 14 hours, 22 minutes, 1 second

In other bases

ternary (3) 1212220122121

quaternary (4) 3310222021

quinary (5) 224031441

senary (6) 33251241

septenary (7) 11342431

nonary (9) 1786577

undecimal (11) 6249aa

duodecimal (12) 403b21

tridecimal (13) 291193

tetradecimal (14) 1c12c1

pentadecimal (15) 14bdd1

As an angle

1,002,121° = 2,783 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓏺
Chinese: 一百萬二千一百二十一
Chinese (financial): 壹佰萬貳仟壹佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٠٢١٢١ Devanagari १००२१२१ Bengali ১০০২১২১ Tamil ௧௦௦௨௧௨௧ Thai ๑๐๐๒๑๒๑ Tibetan ༡༠༠༢༡༢༡ Khmer ១០០២១២១ Lao ໑໐໐໒໑໒໑ Burmese ၁၀၀၂၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,109 (gap of 12)
Next prime: 1,002,143 (gap of 22)

Hex color

#0F4A89

RGB(15, 74, 137)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.137.

Address: 0.15.74.137
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.137

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 1,002,121 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 US1,002,121 on Google Patents ↗ Look up on USPTO ↗