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101,641

101,641 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 Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
146,101
Square (n²)
10,330,892,881
Cube (n³)
1,050,042,283,317,721
Divisor count
2
σ(n) — sum of divisors
101,642
φ(n) — Euler's totient
101,640

Primality

101,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,641)
1 × 101641
First multiples
101,641 · 203,282 (double) · 304,923 · 406,564 · 508,205 · 609,846 · 711,487 · 813,128 · 914,769 · 1,016,410

Sums & aliquot sequence

As a sum of two squares: 204² + 245²
As consecutive integers: 50,820 + 50,821

Continued fraction of √n

√101,641 = [318; (1, 4, 3, 5, 1, 3, 5, 1, 13, 3, 26, 4, 7, 1, 2, 1, 1, 1, 1, 6, 1, 1, 1, 2, …)]

Representations

In words
one hundred one thousand six hundred forty-one
Ordinal
101641st
Binary
11000110100001001
Octal
306411
Hexadecimal
0x18D09
Base64
AY0J
One's complement
4,294,865,654 (32-bit)
Scientific notation
1.01641 × 10⁵
As a duration
101,641 s = 1 day, 4 hours, 14 minutes, 1 second
In other bases
ternary (3) 12011102111
quaternary (4) 120310021
quinary (5) 11223031
senary (6) 2102321
septenary (7) 602221
nonary (9) 164374
undecimal (11) 6a401
duodecimal (12) 4a9a1
tridecimal (13) 37357
tetradecimal (14) 29081
pentadecimal (15) 201b1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραχμαʹ
Mayan (base 20)
𝋬·𝋮·𝋢·𝋡
Chinese
一十萬一千六百四十一
Chinese (financial)
壹拾萬壹仟陸佰肆拾壹
In other modern scripts
Eastern Arabic ١٠١٦٤١ Devanagari १०१६४१ Bengali ১০১৬৪১ Tamil ௧௦௧௬௪௧ Thai ๑๐๑๖๔๑ Tibetan ༡༠༡༦༤༡ Khmer ១០១៦៤១ Lao ໑໐໑໖໔໑ Burmese ၁၀၁၆၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018D09
RGB(1, 141, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.9.

Address
0.1.141.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.9

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 101,641 and was likely granted around 1870.

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