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101,009

101,009 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 Chen Prime Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
900,101
Flips to (rotate 180°)
600,101
Square (n²)
10,202,818,081
Cube (n³)
1,030,576,451,543,729
Divisor count
2
σ(n) — sum of divisors
101,010
φ(n) — Euler's totient
101,008

Primality

101,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,009)
1 × 101009
First multiples
101,009 · 202,018 (double) · 303,027 · 404,036 · 505,045 · 606,054 · 707,063 · 808,072 · 909,081 · 1,010,090

Sums & aliquot sequence

As a sum of two squares: 200² + 247²
As consecutive integers: 50,504 + 50,505

Continued fraction of √n

√101,009 = [317; (1, 4, 1, 1, 8, 6, 5, 1, 2, 79, 9, 1, 3, 3, 1, 1, 4, 1, 1, 12, 1, 38, 1, 4, …)]

Representations

In words
one hundred one thousand nine
Ordinal
101009th
Binary
11000101010010001
Octal
305221
Hexadecimal
0x18A91
Base64
AYqR
One's complement
4,294,866,286 (32-bit)
Scientific notation
1.01009 × 10⁵
In other bases
ternary (3) 12010120002
quaternary (4) 120222101
quinary (5) 11213014
senary (6) 2055345
septenary (7) 600326
nonary (9) 163502
undecimal (11) 69987
duodecimal (12) 4a555
tridecimal (13) 36c8c
tetradecimal (14) 28b4d
pentadecimal (15) 1edde

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραθʹ
Mayan (base 20)
𝋬·𝋬·𝋪·𝋩
Chinese
一十萬一千零九
Chinese (financial)
壹拾萬壹仟零玖
In other modern scripts
Eastern Arabic ١٠١٠٠٩ Devanagari १०१००९ Bengali ১০১০০৯ Tamil ௧௦௧௦௦௯ Thai ๑๐๑๐๐๙ Tibetan ༡༠༡༠༠༩ Khmer ១០១០០៩ Lao ໑໐໑໐໐໙ Burmese ၁၀၁၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𘪑
Tangut Component-658
U+18A91
Other letter (Lo)

UTF-8 encoding: F0 98 AA 91 (4 bytes).

Hex color
#018A91
RGB(1, 138, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.145.

Address
0.1.138.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.145

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 101,009 and was likely granted around 1870.

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

Position in π

The digit sequence 101009 first appears in π at position 470,790 of the decimal expansion (the 470,790ordinal-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.