number.wiki
Live analysis

1,020,113

1,020,113 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.).

1,020,113 (one million twenty 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, 0xF90D1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
3,110,201
Square (n²)
1,040,630,532,769
Cube (n³)
1,061,560,734,674,582,897
Divisor count
2
σ(n) — sum of divisors
1,020,114
φ(n) — Euler's totient
1,020,112

Primality

1,020,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1020113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,020,113)
1 × 1020113
First multiples
1,020,113 · 2,040,226 (double) · 3,060,339 · 4,080,452 · 5,100,565 · 6,120,678 · 7,140,791 · 8,160,904 · 9,181,017 · 10,201,130

Sums & aliquot sequence

As a sum of two squares: 232² + 983²
As consecutive integers: 510,056 + 510,057

Continued fraction of √n

√1,020,113 = [1010; (155, 2, 1, 1, 2, 11, 1, 1, 3, 5, 1, 4, 1, 1, 13, 1, 68, 1, 2, 1, 1, 1, 2, 4, …)]

Representations

In words
one million twenty thousand one hundred thirteen
Ordinal
1020113th
Binary
11111001000011010001
Octal
3710321
Hexadecimal
0xF90D1
Base64
D5DR
One's complement
4,293,947,182 (32-bit)
Scientific notation
1.020113 × 10⁶
As a duration
1,020,113 s = 11 days, 19 hours, 21 minutes, 53 seconds
In other bases
ternary (3) 1220211022222
quaternary (4) 3321003101
quinary (5) 230120423
senary (6) 33510425
septenary (7) 11446043
nonary (9) 1824288
undecimal (11) 637476
duodecimal (12) 412415
tridecimal (13) 299423
tetradecimal (14) 1c7a93
pentadecimal (15) 1523c8

As an angle

1,020,113° = 2,833 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓎆𓏺𓏺𓏺
Chinese
一百零二萬零一百一十三
Chinese (financial)
壹佰零貳萬零壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٢٠١١٣ Devanagari १०२०११३ Bengali ১০২০১১৩ Tamil ௧௦௨௦௧௧௩ Thai ๑๐๒๐๑๑๓ Tibetan ༡༠༢༠༡༡༣ Khmer ១០២០១១៣ Lao ໑໐໒໐໑໑໓ Burmese ၁၀၂၀၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1020109.

Hex color
#0F90D1
RGB(15, 144, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.209.

Address
0.15.144.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.144.209

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 0113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0113-02-01 (DMMYYYY (Euro, single-digit day))
  • 0113-10-02 (MMDYYYY (US, single-digit day))
  • 0113-02-10 (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 1,020,113 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.