Live analysis

1,013,100

1,013,100 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.).

1,013,100 (one million thirteen thousand one hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 11 × 307. Its proper divisors sum to 2,195,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF756C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,088 1,013,089 1,013,090 1,013,091 1,013,092 1,013,093 1,013,094 1,013,095 1,013,096 1,013,097 1,013,098 1,013,099 1,013,100 1,013,101 1,013,102 1,013,103 1,013,104 1,013,105 1,013,106 1,013,107 1,013,108 1,013,109 1,013,110 1,013,111 1,013,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 13,101
Square (n²): 1,026,371,610,000
Cube (n³): 1,039,817,078,091,000,000
Divisor count: 72
σ(n) — sum of divisors: 3,208,128
φ(n) — Euler's totient: 244,800
Sum of prime factors: 335

Primality

Prime factorization: 2 ² × 3 × 5 ² × 11 × 307

Nearest primes: 1,013,063 (−37) · 1,013,143 (+43)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 25 · 30 · 33 · 44 · 50 · 55 · 60 · 66 · 75 · 100 · 110 · 132 · 150 · 165 · 220 · 275 · 300 · 307 · 330 · 550 · 614 · 660 · 825 · 921 · 1100 · 1228 · 1535 · 1650 · 1842 · 3070 · 3300 · 3377 · 3684 · 4605 · 6140 · 6754 · 7675 · 9210 · 10131 · 13508 · 15350 · 16885 · 18420 · 20262 · 23025 · 30700 · 33770 · 40524 · 46050 · 50655 · 67540 · 84425 · 92100 · 101310 · 168850 · 202620 · 253275 · 337700 · 506550 (half) · 1013100

Aliquot sum (sum of proper divisors): 2,195,028

Factor pairs (a × b = 1,013,100)

1 × 1013100

2 × 506550

3 × 337700

4 × 253275

5 × 202620

6 × 168850

10 × 101310

11 × 92100

12 × 84425

15 × 67540

20 × 50655

22 × 46050

25 × 40524

30 × 33770

33 × 30700

44 × 23025

50 × 20262

55 × 18420

60 × 16885

66 × 15350

75 × 13508

100 × 10131

110 × 9210

132 × 7675

150 × 6754

165 × 6140

220 × 4605

275 × 3684

300 × 3377

307 × 3300

330 × 3070

550 × 1842

614 × 1650

660 × 1535

825 × 1228

921 × 1100

First multiples

1,013,100 · 2,026,200 (double) · 3,039,300 · 4,052,400 · 5,065,500 · 6,078,600 · 7,091,700 · 8,104,800 · 9,117,900 · 10,131,000

Sums & aliquot sequence

As consecutive integers: 337,699 + 337,700 + 337,701 202,618 + 202,619 + 202,620 + 202,621 + 202,622 126,634 + 126,635 + … + 126,641 92,095 + 92,096 + … + 92,105

Aliquot sequence: 1,013,100 → 2,195,028 → 4,147,308 → 7,585,812 → 13,782,304 → 13,351,670 → 10,681,354 → 5,387,894 → 2,723,554 → 1,361,780 → 1,976,716 → 2,006,900 → 3,159,436 → 3,281,684 → 3,281,740 → 5,314,484 → 5,497,996 — unresolved within range

Continued fraction of √n

√1,013,100 = [1006; (1, 1, 8, 4, 1, 1, 1, 40, 2, 3, 1, 1, 1, 1, 1, 6, 2, 1, 9, 2, 1, 1, 1, 1, …)]

Representations

In words: one million thirteen thousand one hundred
Ordinal: 1013100th
Binary: 11110111010101101100
Octal: 3672554
Hexadecimal: 0xF756C
Base64: D3Vs
One's complement: 4,293,954,195 (32-bit)
Scientific notation: 1.0131 × 10⁶
As a duration: 1,013,100 s = 11 days, 17 hours, 25 minutes

In other bases

ternary (3) 1220110201020

quaternary (4) 3313111230

quinary (5) 224404400

senary (6) 33414140

septenary (7) 11416434

nonary (9) 1813636

undecimal (11) 632180

duodecimal (12) 40a350

tridecimal (13) 29618a

tetradecimal (14) 1c52c4

pentadecimal (15) 1502a0

As an angle

1,013,100° = 2,814 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢
Chinese: 一百零一萬三千一百
Chinese (financial): 壹佰零壹萬參仟壹佰

In other modern scripts

Eastern Arabic ١٠١٣١٠٠ Devanagari १०१३१०० Bengali ১০১৩১০০ Tamil ௧௦௧௩௧௦௦ Thai ๑๐๑๓๑๐๐ Tibetan ༡༠༡༣༡༠༠ Khmer ១០១៣១០០ Lao ໑໐໑໓໑໐໐ Burmese ၁၀၁၃၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013100, here are decompositions:

37 + 1013063 = 1013100
47 + 1013053 = 1013100
59 + 1013041 = 1013100
71 + 1013029 = 1013100
97 + 1013003 = 1013100
103 + 1012997 = 1013100
107 + 1012993 = 1013100
181 + 1012919 = 1013100

Showing the first eight; more decompositions exist.

Hex color

#0F756C

RGB(15, 117, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.108.

Address: 0.15.117.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3100 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3100-10-01 (MMDYYYY (US, single-digit day))
3100-01-10 (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 1,013,100 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,013,100 on Google Patents ↗ Look up on USPTO ↗