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1,011,013

1,011,013 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.).

1,011,013 (one million eleven thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6D45.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,101,101
Recamán's sequence
a(360,109) = 1,011,013
Square (n²)
1,022,147,286,169
Cube (n³)
1,033,404,194,231,579,197
Divisor count
2
σ(n) — sum of divisors
1,011,014
φ(n) — Euler's totient
1,011,012

Primality

1,011,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1011013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,011,013)
1 × 1011013
First multiples
1,011,013 · 2,022,026 (double) · 3,033,039 · 4,044,052 · 5,055,065 · 6,066,078 · 7,077,091 · 8,088,104 · 9,099,117 · 10,110,130

Sums & aliquot sequence

As a sum of two squares: 158² + 993²
As consecutive integers: 505,506 + 505,507

Continued fraction of √n

√1,011,013 = [1005; (2, 28, 1, 1, 1, 4, 2, 2, 2, 4, 1, 105, 38, 1, 1, 1, 32, 3, 3, 2, 1, 7, 1, 4, …)]

Representations

In words
one million eleven thousand thirteen
Ordinal
1011013th
Binary
11110110110101000101
Octal
3666505
Hexadecimal
0xF6D45
Base64
D21F
One's complement
4,293,956,282 (32-bit)
Scientific notation
1.011013 × 10⁶
As a duration
1,011,013 s = 11 days, 16 hours, 50 minutes, 13 seconds
In other bases
ternary (3) 1220100211221
quaternary (4) 3312311011
quinary (5) 224323023
senary (6) 33400341
septenary (7) 11410363
nonary (9) 1810757
undecimal (11) 630653
duodecimal (12) 4090b1
tridecimal (13) 295243
tetradecimal (14) 1c4633
pentadecimal (15) 14e85d

As an angle

1,011,013° = 2,808 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓎆𓏺𓏺𓏺
Chinese
一百零一萬一千零一十三
Chinese (financial)
壹佰零壹萬壹仟零壹拾參
In other modern scripts
Eastern Arabic ١٠١١٠١٣ Devanagari १०११०१३ Bengali ১০১১০১৩ Tamil ௧௦௧௧௦௧௩ Thai ๑๐๑๑๐๑๓ Tibetan ༡༠༡༡༠༡༣ Khmer ១០១១០១៣ Lao ໑໐໑໑໐໑໓ Burmese ၁၀၁၁၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F6D45
RGB(15, 109, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.69.

Address
0.15.109.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.69

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 1013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1013-10-01 (MMDYYYY (US, single-digit day))
  • 1013-01-10 (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 1,011,013 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.