Live analysis

1,002,101

1,002,101 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.).

1,002,101 (one million two 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, 0xF4A75.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,089 1,002,090 1,002,091 1,002,092 1,002,093 1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102 1,002,103 1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,012,001
Square (n²): 1,004,206,414,201
Cube (n³): 1,006,316,251,877,236,301
Divisor count: 2
σ(n) — sum of divisors: 1,002,102
φ(n) — Euler's totient: 1,002,100

Primality

1,002,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,101)

1 × 1002101

First multiples

1,002,101 · 2,004,202 (double) · 3,006,303 · 4,008,404 · 5,010,505 · 6,012,606 · 7,014,707 · 8,016,808 · 9,018,909 · 10,021,010

Sums & aliquot sequence

As a sum of two squares: 10² + 1,001²

As consecutive integers: 501,050 + 501,051

Continued fraction of √n

√1,002,101 = [1001; (20, 48, 1, 3, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 8, 2, 2, 1, 6, 13, 2, 1, …)]

Representations

In words: one million two thousand one hundred one
Ordinal: 1002101st
Binary: 11110100101001110101
Octal: 3645165
Hexadecimal: 0xF4A75
Base64: D0p1
One's complement: 4,293,965,194 (32-bit)
Scientific notation: 1.002101 × 10⁶
As a duration: 1,002,101 s = 11 days, 14 hours, 21 minutes, 41 seconds

In other bases

ternary (3) 1212220121212

quaternary (4) 3310221311

quinary (5) 224031401

senary (6) 33251205

septenary (7) 11342402

nonary (9) 1786555

undecimal (11) 624991

duodecimal (12) 403b05

tridecimal (13) 291179

tetradecimal (14) 1c12a9

pentadecimal (15) 14bdbb

As an angle

1,002,101° = 2,783 × 360° + 221°

221° ≈ 3.857 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓏺
Chinese: 一百萬二千一百零一
Chinese (financial): 壹佰萬貳仟壹佰零壹

In other modern scripts

Eastern Arabic ١٠٠٢١٠١ Devanagari १००२१०१ Bengali ১০০২১০১ Tamil ௧௦௦௨௧௦௧ Thai ๑๐๐๒๑๐๑ Tibetan ༡༠༠༢༡༠༡ Khmer ១០០២១០១ Lao ໑໐໐໒໑໐໑ Burmese ၁၀၀၂၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,091 (gap of 10)
Next prime: 1,002,109 (gap of 8)

Hex color

#0F4A75

RGB(15, 74, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.117.

Address: 0.15.74.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.117

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

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 1,002,101 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 US1,002,101 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002101 first appears in π at position 280,135 of the decimal expansion (the 280,135ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1002101 on Pi Search ↗