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1,000,213

1,000,213 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.).
Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,120,001
Square (n²)
1,000,426,045,369
Cube (n³)
1,000,639,136,116,663,597
Divisor count
2
σ(n) — sum of divisors
1,000,214
φ(n) — Euler's totient
1,000,212

Primality

1,000,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,213)
1 × 1000213
First multiples
1,000,213 · 2,000,426 (double) · 3,000,639 · 4,000,852 · 5,001,065 · 6,001,278 · 7,001,491 · 8,001,704 · 9,001,917 · 10,002,130

Sums & aliquot sequence

As a sum of two squares: 462² + 887²
As consecutive integers: 500,106 + 500,107

Continued fraction of √n

√1,000,213 = [1000; (9, 2, 1, 1, 3, 2, 7, 1, 3, 6, 1, 94, 2, 1, 1, 2, 3, 1, 4, 2, 10, 1, 5, 1, …)]

Representations

In words
one million two hundred thirteen
Ordinal
1000213th
Binary
11110100001100010101
Octal
3641425
Hexadecimal
0xF4315
Base64
D0MV
One's complement
4,293,967,082 (32-bit)
Scientific notation
1.000213 × 10⁶
As a duration
1,000,213 s = 11 days, 13 hours, 50 minutes, 13 seconds
In other bases
ternary (3) 1212211000221
quaternary (4) 3310030111
quinary (5) 224001323
senary (6) 33234341
septenary (7) 11334034
nonary (9) 1784027
undecimal (11) 623525
duodecimal (12) 4029b1
tridecimal (13) 290356
tetradecimal (14) 1c071b
pentadecimal (15) 14b55d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百萬零二百一十三
Chinese (financial)
壹佰萬零貳佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٠٢١٣ Devanagari १०००२१३ Bengali ১০০০২১৩ Tamil ௧௦௦௦௨௧௩ Thai ๑๐๐๐๒๑๓ Tibetan ༡༠༠༠༢༡༣ Khmer ១០០០២១៣ Lao ໑໐໐໐໒໑໓ Burmese ၁၀၀၀၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1000211.

Hex color
#0F4315
RGB(15, 67, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.21.

Address
0.15.67.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.21

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 1,000,213 and was likely granted around 1911.

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

Position in π

The digit sequence 1000213 first appears in π at position 48,940 of the decimal expansion (the 48,940ordinal-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.