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101,089

101,089 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 Flippable Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
980,101
Flips to (rotate 180°)
680,101
Recamán's sequence
a(98,621) = 101,089
Square (n²)
10,218,985,921
Cube (n³)
1,033,027,067,767,969
Divisor count
2
σ(n) — sum of divisors
101,090
φ(n) — Euler's totient
101,088

Primality

101,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,089)
1 × 101089
First multiples
101,089 · 202,178 (double) · 303,267 · 404,356 · 505,445 · 606,534 · 707,623 · 808,712 · 909,801 · 1,010,890

Sums & aliquot sequence

As a sum of two squares: 183² + 260²
As consecutive integers: 50,544 + 50,545

Continued fraction of √n

√101,089 = [317; (1, 17, 5, 1, 7, 1, 7, 16, 5, 1, 1, 1, 1, 1, 1, 29, 1, 1, 1, 41, 1, 2, 1, 2, …)]

Representations

In words
one hundred one thousand eighty-nine
Ordinal
101089th
Binary
11000101011100001
Octal
305341
Hexadecimal
0x18AE1
Base64
AYrh
One's complement
4,294,866,206 (32-bit)
Scientific notation
1.01089 × 10⁵
In other bases
ternary (3) 12010200001
quaternary (4) 120223201
quinary (5) 11213324
senary (6) 2100001
septenary (7) 600502
nonary (9) 163601
undecimal (11) 69a4a
duodecimal (12) 4a601
tridecimal (13) 37021
tetradecimal (14) 28ba9
pentadecimal (15) 1ee44

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραπθʹ
Mayan (base 20)
𝋬·𝋬·𝋮·𝋩
Chinese
一十萬一千零八十九
Chinese (financial)
壹拾萬壹仟零捌拾玖
In other modern scripts
Eastern Arabic ١٠١٠٨٩ Devanagari १०१०८९ Bengali ১০১০৮৯ Tamil ௧௦௧௦௮௯ Thai ๑๐๑๐๘๙ Tibetan ༡༠༡༠༨༩ Khmer ១០១០៨៩ Lao ໑໐໑໐໘໙ Burmese ၁၀၁၀၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𘫡
Tangut Component-738
U+18AE1
Other letter (Lo)

UTF-8 encoding: F0 98 AB A1 (4 bytes).

Hex color
#018AE1
RGB(1, 138, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.225.

Address
0.1.138.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.225

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 101,089 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 101089 first appears in π at position 506,545 of the decimal expansion (the 506,545ordinal-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.