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1,040,101

1,040,101 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.).

1,040,101 (one million forty thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFDEE5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,010,401
Square (n²)
1,081,810,090,201
Cube (n³)
1,125,191,756,628,150,301
Divisor count
2
σ(n) — sum of divisors
1,040,102
φ(n) — Euler's totient
1,040,100

Primality

1,040,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1040101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,040,101)
1 × 1040101
First multiples
1,040,101 · 2,080,202 (double) · 3,120,303 · 4,160,404 · 5,200,505 · 6,240,606 · 7,280,707 · 8,320,808 · 9,360,909 · 10,401,010

Sums & aliquot sequence

As a sum of two squares: 690² + 751²
As consecutive integers: 520,050 + 520,051

Continued fraction of √n

√1,040,101 = [1019; (1, 5, 1, 4, 1, 1, 1, 2, 16, 14, 169, 1, 9, 2, 6, 1, 5, 21, 1, 3, 5, 56, 2, 7, …)]

Representations

In words
one million forty thousand one hundred one
Ordinal
1040101st
Binary
11111101111011100101
Octal
3757345
Hexadecimal
0xFDEE5
Base64
D97l
One's complement
4,293,927,194 (32-bit)
Scientific notation
1.040101 × 10⁶
As a duration
1,040,101 s = 12 days, 55 minutes, 1 second
In other bases
ternary (3) 1221211202021
quaternary (4) 3331323211
quinary (5) 231240401
senary (6) 34143141
septenary (7) 11561236
nonary (9) 1854667
undecimal (11) 650497
duodecimal (12) 421ab1
tridecimal (13) 2a555a
tetradecimal (14) 1d108d
pentadecimal (15) 1582a1

As an angle

1,040,101° = 2,889 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓏺
Chinese
一百零四萬零一百零一
Chinese (financial)
壹佰零肆萬零壹佰零壹
In other modern scripts
Eastern Arabic ١٠٤٠١٠١ Devanagari १०४०१०१ Bengali ১০৪০১০১ Tamil ௧௦௪௦௧௦௧ Thai ๑๐๔๐๑๐๑ Tibetan ༡༠༤༠༡༠༡ Khmer ១០៤០១០១ Lao ໑໐໔໐໑໐໑ Burmese ၁၀၄၀၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FDEE5
RGB(15, 222, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.229.

Address
0.15.222.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.222.229

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 0101 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0101-04-01 (DMMYYYY (Euro, single-digit day))
  • 0101-10-04 (MMDYYYY (US, single-digit day))
  • 0101-04-10 (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 1,040,101 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.