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100,981

100,981 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 Flippable Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
189,001
Flips to (rotate 180°)
186,001
Square (n²)
10,197,162,361
Cube (n³)
1,029,719,652,376,141
Divisor count
2
σ(n) — sum of divisors
100,982
φ(n) — Euler's totient
100,980

Primality

100,981 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100981
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,981)
1 × 100981
First multiples
100,981 · 201,962 (double) · 302,943 · 403,924 · 504,905 · 605,886 · 706,867 · 807,848 · 908,829 · 1,009,810

Sums & aliquot sequence

As a sum of two squares: 215² + 234²
As consecutive integers: 50,490 + 50,491

Continued fraction of √n

√100,981 = [317; (1, 3, 2, 4, 7, 1, 4, 1, 1, 4, 6, 5, 158, 1, 2, 3, 1, 3, 3, 1, 1, 2, 2, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred eighty-one
Ordinal
100981st
Binary
11000101001110101
Octal
305165
Hexadecimal
0x18A75
Base64
AYp1
One's complement
4,294,866,314 (32-bit)
Scientific notation
1.00981 × 10⁵
In other bases
ternary (3) 12010112001
quaternary (4) 120221311
quinary (5) 11212411
senary (6) 2055301
septenary (7) 600256
nonary (9) 163461
undecimal (11) 69961
duodecimal (12) 4a531
tridecimal (13) 36c6a
tetradecimal (14) 28b2d
pentadecimal (15) 1edc1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρϡπαʹ
Mayan (base 20)
𝋬·𝋬·𝋩·𝋡
Chinese
一十萬零九百八十一
Chinese (financial)
壹拾萬零玖佰捌拾壹
In other modern scripts
Eastern Arabic ١٠٠٩٨١ Devanagari १००९८१ Bengali ১০০৯৮১ Tamil ௧௦௦௯௮௧ Thai ๑๐๐๙๘๑ Tibetan ༡༠༠༩༨༡ Khmer ១០០៩៨១ Lao ໑໐໐໙໘໑ Burmese ၁၀၀၉၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 100987.

Unicode codepoint
𘩵
Tangut Component-630
U+18A75
Other letter (Lo)

UTF-8 encoding: F0 98 A9 B5 (4 bytes).

Hex color
#018A75
RGB(1, 138, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.117.

Address
0.1.138.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.117

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 100,981 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 100981 first appears in π at position 367,681 of the decimal expansion (the 367,681ordinal-suffix:st 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.