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1,011,137

1,011,137 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.).

1,011,137 (one million eleven thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6DC1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
7,311,101
Square (n²)
1,022,398,032,769
Cube (n³)
1,033,784,479,659,948,353
Divisor count
2
σ(n) — sum of divisors
1,011,138
φ(n) — Euler's totient
1,011,136

Primality

1,011,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1011137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,011,137)
1 × 1011137
First multiples
1,011,137 · 2,022,274 (double) · 3,033,411 · 4,044,548 · 5,055,685 · 6,066,822 · 7,077,959 · 8,089,096 · 9,100,233 · 10,111,370

Sums & aliquot sequence

As a sum of two squares: 296² + 961²
As consecutive integers: 505,568 + 505,569

Continued fraction of √n

√1,011,137 = [1005; (1, 1, 4, 4, 1, 3, 3, 5, 35, 1, 2, 1, 1, 1, 2, 48, 1, 2, 20, 2, 1, 1, 15, 8, …)]

Representations

In words
one million eleven thousand one hundred thirty-seven
Ordinal
1011137th
Binary
11110110110111000001
Octal
3666701
Hexadecimal
0xF6DC1
Base64
D23B
One's complement
4,293,956,158 (32-bit)
Scientific notation
1.011137 × 10⁶
As a duration
1,011,137 s = 11 days, 16 hours, 52 minutes, 17 seconds
In other bases
ternary (3) 1220101000112
quaternary (4) 3312313001
quinary (5) 224324022
senary (6) 33401105
septenary (7) 11410631
nonary (9) 1811015
undecimal (11) 630756
duodecimal (12) 409195
tridecimal (13) 29530a
tetradecimal (14) 1c46c1
pentadecimal (15) 14e8e2

As an angle

1,011,137° = 2,808 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬一千一百三十七
Chinese (financial)
壹佰零壹萬壹仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠١١١٣٧ Devanagari १०१११३७ Bengali ১০১১১৩৭ Tamil ௧௦௧௧௧௩௭ Thai ๑๐๑๑๑๓๗ Tibetan ༡༠༡༡༡༣༧ Khmer ១០១១១៣៧ Lao ໑໐໑໑໑໓໗ Burmese ၁၀၁၁၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1011139.

Hex color
#0F6DC1
RGB(15, 109, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.193.

Address
0.15.109.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.193

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 1137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1137-10-01 (MMDYYYY (US, single-digit day))
  • 1137-01-10 (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 1,011,137 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.