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1,040,113

1,040,113 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.).

1,040,113 (one million forty 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, 0xFDEF1.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
3,110,401
Square (n²)
1,081,835,052,769
Cube (n³)
1,125,230,702,240,722,897
Divisor count
2
σ(n) — sum of divisors
1,040,114
φ(n) — Euler's totient
1,040,112

Primality

1,040,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1040113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,040,113)
1 × 1040113
First multiples
1,040,113 · 2,080,226 (double) · 3,120,339 · 4,160,452 · 5,200,565 · 6,240,678 · 7,280,791 · 8,320,904 · 9,361,017 · 10,401,130

Sums & aliquot sequence

As a sum of two squares: 423² + 928²
As consecutive integers: 520,056 + 520,057

Continued fraction of √n

√1,040,113 = [1019; (1, 6, 9, 3, 3, 36, 8, 6, 10, 1, 1, 1, 2, 3, 1, 1, 1, 4, 1, 7, 1, 31, 2, 24, …)]

Representations

In words
one million forty thousand one hundred thirteen
Ordinal
1040113th
Binary
11111101111011110001
Octal
3757361
Hexadecimal
0xFDEF1
Base64
D97x
One's complement
4,293,927,182 (32-bit)
Scientific notation
1.040113 × 10⁶
As a duration
1,040,113 s = 12 days, 55 minutes, 13 seconds
In other bases
ternary (3) 1221211202201
quaternary (4) 3331323301
quinary (5) 231240423
senary (6) 34143201
septenary (7) 11561254
nonary (9) 1854681
undecimal (11) 6504a8
duodecimal (12) 421b01
tridecimal (13) 2a5569
tetradecimal (14) 1d109b
pentadecimal (15) 1582ad

As an angle

1,040,113° = 2,889 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓎆𓏺𓏺𓏺
Chinese
一百零四萬零一百一十三
Chinese (financial)
壹佰零肆萬零壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٤٠١١٣ Devanagari १०४०११३ Bengali ১০৪০১১৩ Tamil ௧௦௪௦௧௧௩ Thai ๑๐๔๐๑๑๓ Tibetan ༡༠༤༠༡༡༣ Khmer ១០៤០១១៣ Lao ໑໐໔໐໑໑໓ Burmese ၁၀၄၀၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1040119.

Hex color
#0FDEF1
RGB(15, 222, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.241.

Address
0.15.222.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.222.241

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 0113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0113-04-01 (DMMYYYY (Euro, single-digit day))
  • 0113-10-04 (MMDYYYY (US, single-digit day))
  • 0113-04-10 (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 1,040,113 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.