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1,022,113

1,022,113 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.).

1,022,113 (one million twenty-two thousand one hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF98A1.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
3,112,201
Recamán's sequence
a(372,101) = 1,022,113
Square (n²)
1,044,714,984,769
Cube (n³)
1,067,816,767,227,196,897
Divisor count
2
σ(n) — sum of divisors
1,022,114
φ(n) — Euler's totient
1,022,112

Primality

1,022,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,113)
1 × 1022113
First multiples
1,022,113 · 2,044,226 (double) · 3,066,339 · 4,088,452 · 5,110,565 · 6,132,678 · 7,154,791 · 8,176,904 · 9,199,017 · 10,221,130

Sums & aliquot sequence

As a sum of two squares: 552² + 847²
As consecutive integers: 511,056 + 511,057

Continued fraction of √n

√1,022,113 = [1010; (1, 251, 1, 2, 1, 125, 1, 1, 1, 1, 1, 62, 1, 1, 3, 1, 1, 31, 32, 15, 1, 3, 3, 1, …)]

Representations

In words
one million twenty-two thousand one hundred thirteen
Ordinal
1022113th
Binary
11111001100010100001
Octal
3714241
Hexadecimal
0xF98A1
Base64
D5ih
One's complement
4,293,945,182 (32-bit)
Scientific notation
1.022113 × 10⁶
As a duration
1,022,113 s = 11 days, 19 hours, 55 minutes, 13 seconds
In other bases
ternary (3) 1220221002001
quaternary (4) 3321202201
quinary (5) 230201423
senary (6) 33524001
septenary (7) 11454631
nonary (9) 1827061
undecimal (11) 638a24
duodecimal (12) 413601
tridecimal (13) 29a301
tetradecimal (14) 1c86c1
pentadecimal (15) 152cad

As an angle

1,022,113° = 2,839 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Chinese
一百零二萬二千一百一十三
Chinese (financial)
壹佰零貳萬貳仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٢٢١١٣ Devanagari १०२२११३ Bengali ১০২২১১৩ Tamil ௧௦௨௨௧௧௩ Thai ๑๐๒๒๑๑๓ Tibetan ༡༠༢༢༡༡༣ Khmer ១០២២១១៣ Lao ໑໐໒໒໑໑໓ Burmese ၁၀၂၂၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F98A1
RGB(15, 152, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.161.

Address
0.15.152.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.161

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 2113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2113-02-01 (DMMYYYY (Euro, single-digit day))
  • 2113-10-02 (MMDYYYY (US, single-digit day))
  • 2113-02-10 (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 1,022,113 and was likely granted around 1912.

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.