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1,043,113

1,043,113 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.).

1,043,113 (one million forty-three 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, 0xFEAA9.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,113,401
Square (n²)
1,088,084,730,769
Cube (n³)
1,134,995,327,766,643,897
Divisor count
2
σ(n) — sum of divisors
1,043,114
φ(n) — Euler's totient
1,043,112

Primality

1,043,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1043113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,043,113)
1 × 1043113
First multiples
1,043,113 · 2,086,226 (double) · 3,129,339 · 4,172,452 · 5,215,565 · 6,258,678 · 7,301,791 · 8,344,904 · 9,388,017 · 10,431,130

Sums & aliquot sequence

As a sum of two squares: 243² + 992²
As consecutive integers: 521,556 + 521,557

Continued fraction of √n

√1,043,113 = [1021; (3, 25, 1, 1, 10, 3, 2, 1, 4, 2, 1, 1, 7, 6, 1, 7, 1, 9, 1, 3, 36, 4, 1, 1, …)]

Representations

In words
one million forty-three thousand one hundred thirteen
Ordinal
1043113th
Binary
11111110101010101001
Octal
3765251
Hexadecimal
0xFEAA9
Base64
D+qp
One's complement
4,293,924,182 (32-bit)
Scientific notation
1.043113 × 10⁶
As a duration
1,043,113 s = 12 days, 1 hour, 45 minutes, 13 seconds
In other bases
ternary (3) 1221222212211
quaternary (4) 3332222221
quinary (5) 231334423
senary (6) 34205121
septenary (7) 11603101
nonary (9) 1858784
undecimal (11) 652785
duodecimal (12) 4237a1
tridecimal (13) 2a6a36
tetradecimal (14) 1d2201
pentadecimal (15) 15910d

As an angle

1,043,113° = 2,897 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Chinese
一百零四萬三千一百一十三
Chinese (financial)
壹佰零肆萬參仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٤٣١١٣ Devanagari १०४३११३ Bengali ১০৪৩১১৩ Tamil ௧௦௪௩௧௧௩ Thai ๑๐๔๓๑๑๓ Tibetan ༡༠༤༣༡༡༣ Khmer ១០៤៣១១៣ Lao ໑໐໔໓໑໑໓ Burmese ၁၀၄၃၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1043111, cousin with 1043117.

Hex color
#0FEAA9
RGB(15, 234, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.234.169.

Address
0.15.234.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.234.169

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 3113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3113-04-01 (DMMYYYY (Euro, single-digit day))
  • 3113-10-04 (MMDYYYY (US, single-digit day))
  • 3113-04-10 (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 1,043,113 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.