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101,117

101,117 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 Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
711,101
Recamán's sequence
a(98,565) = 101,117
Square (n²)
10,224,647,689
Cube (n³)
1,033,885,700,368,613
Divisor count
2
σ(n) — sum of divisors
101,118
φ(n) — Euler's totient
101,116

Primality

101,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,117)
1 × 101117
First multiples
101,117 · 202,234 (double) · 303,351 · 404,468 · 505,585 · 606,702 · 707,819 · 808,936 · 910,053 · 1,011,170

Sums & aliquot sequence

As a sum of two squares: 139² + 286²
As consecutive integers: 50,558 + 50,559

Continued fraction of √n

√101,117 = [317; (1, 89, 1, 5, 1, 12, 8, 5, 1, 1, 57, 3, 1, 2, 7, 1, 8, 1, 1, 1, 1, 2, 1, 3, …)]

Representations

In words
one hundred one thousand one hundred seventeen
Ordinal
101117th
Binary
11000101011111101
Octal
305375
Hexadecimal
0x18AFD
Base64
AYr9
One's complement
4,294,866,178 (32-bit)
Scientific notation
1.01117 × 10⁵
In other bases
ternary (3) 12010201002
quaternary (4) 120223331
quinary (5) 11213432
senary (6) 2100045
septenary (7) 600542
nonary (9) 163632
undecimal (11) 69a75
duodecimal (12) 4a625
tridecimal (13) 37043
tetradecimal (14) 28bc9
pentadecimal (15) 1ee62

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραριζʹ
Mayan (base 20)
𝋬·𝋬·𝋯·𝋱
Chinese
一十萬一千一百一十七
Chinese (financial)
壹拾萬壹仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١٠١١١٧ Devanagari १०१११७ Bengali ১০১১১৭ Tamil ௧௦௧௧௧௭ Thai ๑๐๑๑๑๗ Tibetan ༡༠༡༡༡༧ Khmer ១០១១១៧ Lao ໑໐໑໑໑໗ Burmese ၁၀၁၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 101119, cousin with 101113.

Unicode codepoint
𘫽
Tangut Component-766
U+18AFD
Other letter (Lo)

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

Hex color
#018AFD
RGB(1, 138, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.253.

Address
0.1.138.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.253

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 101,117 and was likely granted around 1870.

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