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101,561

101,561 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 Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
165,101
Square (n²)
10,314,636,721
Cube (n³)
1,047,564,820,021,481
Divisor count
2
σ(n) — sum of divisors
101,562
φ(n) — Euler's totient
101,560

Primality

101,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,561)
1 × 101561
First multiples
101,561 · 203,122 (double) · 304,683 · 406,244 · 507,805 · 609,366 · 710,927 · 812,488 · 914,049 · 1,015,610

Sums & aliquot sequence

As a sum of two squares: 205² + 244²
As consecutive integers: 50,780 + 50,781

Continued fraction of √n

√101,561 = [318; (1, 2, 5, 3, 3, 1, 7, 3, 2, 1, 57, 4, 10, 1, 1, 4, 7, 1, 2, 1, 15, 5, 4, 1, …)]

Representations

In words
one hundred one thousand five hundred sixty-one
Ordinal
101561st
Binary
11000110010111001
Octal
306271
Hexadecimal
0x18CB9
Base64
AYy5
One's complement
4,294,865,734 (32-bit)
Scientific notation
1.01561 × 10⁵
As a duration
101,561 s = 1 day, 4 hours, 12 minutes, 41 seconds
In other bases
ternary (3) 12011022112
quaternary (4) 120302321
quinary (5) 11222221
senary (6) 2102105
septenary (7) 602045
nonary (9) 164275
undecimal (11) 6a339
duodecimal (12) 4a935
tridecimal (13) 372c5
tetradecimal (14) 29025
pentadecimal (15) 2015b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραφξαʹ
Mayan (base 20)
𝋬·𝋭·𝋲·𝋡
Chinese
一十萬一千五百六十一
Chinese (financial)
壹拾萬壹仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٠١٥٦١ Devanagari १०१५६१ Bengali ১০১৫৬১ Tamil ௧௦௧௫௬௧ Thai ๑๐๑๕๖๑ Tibetan ༡༠༡༥༦༡ Khmer ១០១៥៦១ Lao ໑໐໑໕໖໑ Burmese ၁၀၁၅၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𘲹
Khitan Small Script Character-18Cb9
U+18CB9
Other letter (Lo)

UTF-8 encoding: F0 98 B2 B9 (4 bytes).

Hex color
#018CB9
RGB(1, 140, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.185.

Address
0.1.140.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.185

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 101,561 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 101561 first appears in π at position 188,718 of the decimal expansion (the 188,718ordinal-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.