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100,361

100,361 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 Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain 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
163,001
Recamán's sequence
a(99,369) = 100,361
Square (n²)
10,072,330,321
Cube (n³)
1,010,869,143,345,881
Divisor count
2
σ(n) — sum of divisors
100,362
φ(n) — Euler's totient
100,360

Primality

100,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,361)
1 × 100361
First multiples
100,361 · 200,722 (double) · 301,083 · 401,444 · 501,805 · 602,166 · 702,527 · 802,888 · 903,249 · 1,003,610

Sums & aliquot sequence

As a sum of two squares: 181² + 260²
As consecutive integers: 50,180 + 50,181

Representations

In words
one hundred thousand three hundred sixty-one
Ordinal
100361st
Binary
11000100000001001
Octal
304011
Hexadecimal
0x18809
Base64
AYgJ
One's complement
4,294,866,934 (32-bit)
In other bases
ternary (3) 12002200002
quaternary (4) 120200021
quinary (5) 11202421
senary (6) 2052345
septenary (7) 565412
nonary (9) 162602
undecimal (11) 69448
duodecimal (12) 4a0b5
tridecimal (13) 368b1
tetradecimal (14) 28809
pentadecimal (15) 1eb0b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρτξαʹ
Mayan (base 20)
𝋬·𝋪·𝋲·𝋡
Chinese
一十萬零三百六十一
Chinese (financial)
壹拾萬零參佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٠٣٦١ Devanagari १००३६१ Bengali ১০০৩৬১ Tamil ௧௦௦௩௬௧ Thai ๑๐๐๓๖๑ Tibetan ༡༠༠༣༦༡ Khmer ១០០៣៦១ Lao ໑໐໐໓໖໑ Burmese ၁၀၀၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 100363, cousin with 100357.

Unicode codepoint
𘠉
Tangut Component-010
U+18809
Other letter (Lo)

UTF-8 encoding: F0 98 A0 89 (4 bytes).

Hex color
#018809
RGB(1, 136, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.136.9.

Address
0.1.136.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.136.9

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 100,361 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 100361 first appears in π at position 17,220 of the decimal expansion (the 17,220ordinal-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.