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1,013,130

1,013,130 is a composite number, even.

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.).

1,013,130 (one million thirteen thousand one hundred thirty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 11,257. Its proper divisors sum to 1,621,242, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF758A.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
313,101
Square (n²)
1,026,432,396,900
Cube (n³)
1,039,909,454,271,297,000
Divisor count
24
σ(n) — sum of divisors
2,634,372
φ(n) — Euler's totient
270,144
Sum of prime factors
11,270

Primality

Prime factorization: 2 × 3 2 × 5 × 11257

Nearest primes: 1,013,063 (−67) · 1,013,143 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 30 · 45 · 90 · 11257 · 22514 · 33771 · 56285 · 67542 · 101313 · 112570 · 168855 · 202626 · 337710 · 506565 (half) · 1013130
Aliquot sum (sum of proper divisors): 1,621,242
Factor pairs (a × b = 1,013,130)
1 × 1013130
2 × 506565
3 × 337710
5 × 202626
6 × 168855
9 × 112570
10 × 101313
15 × 67542
18 × 56285
30 × 33771
45 × 22514
90 × 11257
First multiples
1,013,130 · 2,026,260 (double) · 3,039,390 · 4,052,520 · 5,065,650 · 6,078,780 · 7,091,910 · 8,105,040 · 9,118,170 · 10,131,300

Sums & aliquot sequence

As a sum of two squares: 123² + 999² = 501² + 873²
As consecutive integers: 337,709 + 337,710 + 337,711 253,281 + 253,282 + 253,283 + 253,284 202,624 + 202,625 + 202,626 + 202,627 + 202,628 112,566 + 112,567 + … + 112,574
Aliquot sequence: 1,013,130 1,621,242 2,497,158 2,913,390 4,661,658 5,778,342 6,955,938 10,762,542 16,075,698 16,075,710 37,837,890 60,540,858 95,856,966 121,184,154 219,283,686 273,428,898 278,447,262 — unresolved within range

Continued fraction of √n

√1,013,130 = [1006; (1, 1, 5, 4, 3, 1, 26, 2, 3, 1, 1, 1, 6, 1, 1, 2, 1, 4, 2, 1, 1, 4, 1, 1, …)]

Representations

In words
one million thirteen thousand one hundred thirty
Ordinal
1013130th
Binary
11110111010110001010
Octal
3672612
Hexadecimal
0xF758A
Base64
D3WK
One's complement
4,293,954,165 (32-bit)
Scientific notation
1.01313 × 10⁶
As a duration
1,013,130 s = 11 days, 17 hours, 25 minutes, 30 seconds
In other bases
ternary (3) 1220110202100
quaternary (4) 3313112022
quinary (5) 224410010
senary (6) 33414230
septenary (7) 11416506
nonary (9) 1813670
undecimal (11) 6321a8
duodecimal (12) 40a376
tridecimal (13) 2961b1
tetradecimal (14) 1c5306
pentadecimal (15) 1502c0

As an angle

1,013,130° = 2,814 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Chinese
一百零一萬三千一百三十
Chinese (financial)
壹佰零壹萬參仟壹佰參拾
In other modern scripts
Eastern Arabic ١٠١٣١٣٠ Devanagari १०१३१३० Bengali ১০১৩১৩০ Tamil ௧௦௧௩௧௩௦ Thai ๑๐๑๓๑๓๐ Tibetan ༡༠༡༣༡༣༠ Khmer ១០១៣១៣០ Lao ໑໐໑໓໑໓໐ Burmese ၁၀၁၃၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013130, here are decompositions:

  • 67 + 1013063 = 1013130
  • 89 + 1013041 = 1013130
  • 101 + 1013029 = 1013130
  • 127 + 1013003 = 1013130
  • 137 + 1012993 = 1013130
  • 149 + 1012981 = 1013130
  • 163 + 1012967 = 1013130
  • 199 + 1012931 = 1013130

Showing the first eight; more decompositions exist.

Hex color
#0F758A
RGB(15, 117, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.138.

Address
0.15.117.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.138

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3130 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3130-10-01 (MMDYYYY (US, single-digit day))
  • 3130-01-10 (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 1,013,130 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.