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100,801

100,801 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 Centered Square Chen Prime Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
108,001
Flips to (rotate 180°)
108,001
Recamán's sequence
a(255,114) = 100,801
Square (n²)
10,160,841,601
Cube (n³)
1,024,222,994,222,401
Divisor count
2
σ(n) — sum of divisors
100,802
φ(n) — Euler's totient
100,800

Primality

100,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,801)
1 × 100801
First multiples
100,801 · 201,602 (double) · 302,403 · 403,204 · 504,005 · 604,806 · 705,607 · 806,408 · 907,209 · 1,008,010

Sums & aliquot sequence

As a sum of two squares: 224² + 225²
As consecutive integers: 50,400 + 50,401

Continued fraction of √n

√100,801 = [317; (2, 29, 1, 2, 1, 4, 3, 79, 16, 3, 1, 2, 1, 1, 6, 2, 2, 39, 3, 1, 1, 3, 1, 1, …)]

Representations

In words
one hundred thousand eight hundred one
Ordinal
100801st
Binary
11000100111000001
Octal
304701
Hexadecimal
0x189C1
Base64
AYnB
One's complement
4,294,866,494 (32-bit)
Scientific notation
1.00801 × 10⁵
In other bases
ternary (3) 12010021101
quaternary (4) 120213001
quinary (5) 11211201
senary (6) 2054401
septenary (7) 566611
nonary (9) 163241
undecimal (11) 69808
duodecimal (12) 4a401
tridecimal (13) 36b5c
tetradecimal (14) 28a41
pentadecimal (15) 1ed01

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρωαʹ
Mayan (base 20)
𝋬·𝋬·𝋠·𝋡
Chinese
一十萬零八百零一
Chinese (financial)
壹拾萬零捌佰零壹
In other modern scripts
Eastern Arabic ١٠٠٨٠١ Devanagari १००८०१ Bengali ১০০৮০১ Tamil ௧௦௦௮௦௧ Thai ๑๐๐๘๐๑ Tibetan ༡༠༠༨༠༡ Khmer ១០០៨០១ Lao ໑໐໐໘໐໑ Burmese ၁၀၀၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 100799.

Unicode codepoint
𘧁
Tangut Component-450
U+189C1
Other letter (Lo)

UTF-8 encoding: F0 98 A7 81 (4 bytes).

Hex color
#0189C1
RGB(1, 137, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.193.

Address
0.1.137.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.193

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 100,801 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 100801 first appears in π at position 275,140 of the decimal expansion (the 275,140ordinal-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.