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1,011,221

1,011,221 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.).

1,011,221 (one million eleven thousand two 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, 0xF6E15.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,221,101
Square (n²)
1,022,567,910,841
Cube (n³)
1,034,042,145,368,546,861
Divisor count
2
σ(n) — sum of divisors
1,011,222
φ(n) — Euler's totient
1,011,220

Primality

1,011,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1011221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,011,221)
1 × 1011221
First multiples
1,011,221 · 2,022,442 (double) · 3,033,663 · 4,044,884 · 5,056,105 · 6,067,326 · 7,078,547 · 8,089,768 · 9,100,989 · 10,112,210

Sums & aliquot sequence

As a sum of two squares: 470² + 889²
As consecutive integers: 505,610 + 505,611

Continued fraction of √n

√1,011,221 = [1005; (1, 1, 2, 7, 2, 1, 2, 1, 4, 2, 5, 13, 1, 2, 5, 5, 1, 12, 2, 12, 2, 42, 3, 4, …)]

Representations

In words
one million eleven thousand two hundred twenty-one
Ordinal
1011221st
Binary
11110110111000010101
Octal
3667025
Hexadecimal
0xF6E15
Base64
D24V
One's complement
4,293,956,074 (32-bit)
Scientific notation
1.011221 × 10⁶
As a duration
1,011,221 s = 11 days, 16 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 1220101010122
quaternary (4) 3312320111
quinary (5) 224324341
senary (6) 33401325
septenary (7) 11411111
nonary (9) 1811118
undecimal (11) 630822
duodecimal (12) 409245
tridecimal (13) 295373
tetradecimal (14) 1c4741
pentadecimal (15) 14e94b

As an angle

1,011,221° = 2,808 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零一萬一千二百二十一
Chinese (financial)
壹佰零壹萬壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠١١٢٢١ Devanagari १०११२२१ Bengali ১০১১২২১ Tamil ௧௦௧௧௨௨௧ Thai ๑๐๑๑๒๒๑ Tibetan ༡༠༡༡༢༢༡ Khmer ១០១១២២១ Lao ໑໐໑໑໒໒໑ Burmese ၁၀၁၁၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1011217.

Hex color
#0F6E15
RGB(15, 110, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.110.21.

Address
0.15.110.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.110.21

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 1221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1221-10-01 (MMDYYYY (US, single-digit day))
  • 1221-01-10 (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 1,011,221 and was likely granted around 1911.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.