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101,681

101,681 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 Evil Number Flippable Happy Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
186,101
Flips to (rotate 180°)
189,101
Square (n²)
10,339,025,761
Cube (n³)
1,051,282,478,404,241
Divisor count
2
σ(n) — sum of divisors
101,682
φ(n) — Euler's totient
101,680

Primality

101,681 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101681
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,681)
1 × 101681
First multiples
101,681 · 203,362 (double) · 305,043 · 406,724 · 508,405 · 610,086 · 711,767 · 813,448 · 915,129 · 1,016,810

Sums & aliquot sequence

As a sum of two squares: 145² + 284²
As consecutive integers: 50,840 + 50,841

Continued fraction of √n

√101,681 = [318; (1, 6, 1, 36, 1, 1, 1, 3, 2, 4, 1, 1, 2, 1, 1, 3, 1, 1, 1, 3, 1, 3, 7, 1, …)]

Representations

In words
one hundred one thousand six hundred eighty-one
Ordinal
101681st
Binary
11000110100110001
Octal
306461
Hexadecimal
0x18D31
Base64
AY0x
One's complement
4,294,865,614 (32-bit)
Scientific notation
1.01681 × 10⁵
As a duration
101,681 s = 1 day, 4 hours, 14 minutes, 41 seconds
In other bases
ternary (3) 12011110222
quaternary (4) 120310301
quinary (5) 11223211
senary (6) 2102425
septenary (7) 602306
nonary (9) 164428
undecimal (11) 6a438
duodecimal (12) 4aa15
tridecimal (13) 37388
tetradecimal (14) 290ad
pentadecimal (15) 201db

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραχπαʹ
Mayan (base 20)
𝋬·𝋮·𝋤·𝋡
Chinese
一十萬一千六百八十一
Chinese (financial)
壹拾萬壹仟陸佰捌拾壹
In other modern scripts
Eastern Arabic ١٠١٦٨١ Devanagari १०१६८१ Bengali ১০১৬৮১ Tamil ௧௦௧௬௮௧ Thai ๑๐๑๖๘๑ Tibetan ༡༠༡༦༨༡ Khmer ១០១៦៨១ Lao ໑໐໑໖໘໑ Burmese ၁၀၁၆၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018D31
RGB(1, 141, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.49.

Address
0.1.141.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.49

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 101,681 and was likely granted around 1870.

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