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101,027

101,027 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 Binary Palindrome Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Safe Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
720,101
Square (n²)
10,206,454,729
Cube (n³)
1,031,127,501,906,683
Divisor count
2
σ(n) — sum of divisors
101,028
φ(n) — Euler's totient
101,026

Primality

101,027 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101027
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,027)
1 × 101027
First multiples
101,027 · 202,054 (double) · 303,081 · 404,108 · 505,135 · 606,162 · 707,189 · 808,216 · 909,243 · 1,010,270

Sums & aliquot sequence

As consecutive integers: 50,513 + 50,514

Continued fraction of √n

√101,027 = [317; (1, 5, 1, 1, 4, 28, 1, 2, 13, 5, 3, 4, 1, 15, 1, 11, 18, 1, 1, 1, 1, 2, 2, 3, …)]

Representations

In words
one hundred one thousand twenty-seven
Ordinal
101027th
Binary
11000101010100011
Octal
305243
Hexadecimal
0x18AA3
Base64
AYqj
One's complement
4,294,866,268 (32-bit)
Scientific notation
1.01027 × 10⁵
In other bases
ternary (3) 12010120202
quaternary (4) 120222203
quinary (5) 11213102
senary (6) 2055415
septenary (7) 600353
nonary (9) 163522
undecimal (11) 699a3
duodecimal (12) 4a56b
tridecimal (13) 36ca4
tetradecimal (14) 28b63
pentadecimal (15) 1ee02
Palindromic in base 2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρακζʹ
Mayan (base 20)
𝋬·𝋬·𝋫·𝋧
Chinese
一十萬一千零二十七
Chinese (financial)
壹拾萬壹仟零貳拾柒
In other modern scripts
Eastern Arabic ١٠١٠٢٧ Devanagari १०१०२७ Bengali ১০১০২৭ Tamil ௧௦௧௦௨௭ Thai ๑๐๑๐๒๗ Tibetan ༡༠༡༠༢༧ Khmer ១០១០២៧ Lao ໑໐໑໐໒໗ Burmese ၁၀၁၀၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 101021.

Unicode codepoint
𘪣
Tangut Component-676
U+18AA3
Other letter (Lo)

UTF-8 encoding: F0 98 AA A3 (4 bytes).

Hex color
#018AA3
RGB(1, 138, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.163.

Address
0.1.138.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.163

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 101,027 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 101027 first appears in π at position 422,039 of the decimal expansion (the 422,039ordinal-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.