number.wiki
Live analysis

101,000

101,000 is a composite number, even.

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.).
Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
101
Flips to (rotate 180°)
101
Square (n²)
10,201,000,000
Cube (n³)
1,030,301,000,000,000
Divisor count
32
σ(n) — sum of divisors
238,680
φ(n) — Euler's totient
40,000
Sum of prime factors
122

Primality

Prime factorization: 2 3 × 5 3 × 101

Nearest primes: 100,999 (−1) · 101,009 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 101 · 125 · 200 · 202 · 250 · 404 · 500 · 505 · 808 · 1000 · 1010 · 2020 · 2525 · 4040 · 5050 · 10100 · 12625 · 20200 · 25250 · 50500 (half) · 101000
Aliquot sum (sum of proper divisors): 137,680
Factor pairs (a × b = 101,000)
1 × 101000
2 × 50500
4 × 25250
5 × 20200
8 × 12625
10 × 10100
20 × 5050
25 × 4040
40 × 2525
50 × 2020
100 × 1010
101 × 1000
125 × 808
200 × 505
202 × 500
250 × 404
First multiples
101,000 · 202,000 (double) · 303,000 · 404,000 · 505,000 · 606,000 · 707,000 · 808,000 · 909,000 · 1,010,000

Sums & aliquot sequence

As a sum of two squares: 70² + 310² = 130² + 290² = 154² + 278² = 206² + 242²
As consecutive integers: 20,198 + 20,199 + 20,200 + 20,201 + 20,202 6,305 + 6,306 + … + 6,320 4,028 + 4,029 + … + 4,052 1,223 + 1,224 + … + 1,302
Aliquot sequence: 101,000 → 137,680 → 182,612 → 141,964 → 106,480 → 165,824 → 163,360 → 222,956 → 171,004 → 128,260 → 173,384 → 151,726 → 78,314 → 39,160 → 58,040 → 72,640 → 101,096 — unresolved within range

Continued fraction of √n

√101,000 = [317; (1, 4, 7, 1, 5, 2, 10, 1, 8, 25, 3, 4, 1, 12, 6, 3, 1, 1, 2, 10, 1, 24, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand
Ordinal
101000th
Binary
11000101010001000
Octal
305210
Hexadecimal
0x18A88
Base64
AYqI
One's complement
4,294,866,295 (32-bit)
Scientific notation
1.01 × 10⁵
In other bases
ternary (3) 12010112202
quaternary (4) 120222020
quinary (5) 11213000
senary (6) 2055332
septenary (7) 600314
nonary (9) 163482
undecimal (11) 69979
duodecimal (12) 4a548
tridecimal (13) 36c83
tetradecimal (14) 28b44
pentadecimal (15) 1edd5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼
Greek (Milesian)
͵ρα
Mayan (base 20)
𝋬·𝋬·𝋪·𝋠
Chinese
一十萬一千
Chinese (financial)
壹拾萬壹仟
In other modern scripts
Eastern Arabic ١٠١٠٠٠ Devanagari १०१००० Bengali ১০১০০০ Tamil ௧௦௧௦௦௦ Thai ๑๐๑๐๐๐ Tibetan ༡༠༡༠༠༠ Khmer ១០១០០០ Lao ໑໐໑໐໐໐ Burmese ၁၀၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101000, here are decompositions:

  • 13 + 100987 = 101000
  • 19 + 100981 = 101000
  • 43 + 100957 = 101000
  • 73 + 100927 = 101000
  • 199 + 100801 = 101000
  • 307 + 100693 = 101000
  • 331 + 100669 = 101000
  • 379 + 100621 = 101000

Showing the first eight; more decompositions exist.

Unicode codepoint
𘪈
Tangut Component-649
U+18A88
Other letter (Lo)

UTF-8 encoding: F0 98 AA 88 (4 bytes).

Lookup U+18A88 on Compart ↗ Lookup on FileFormat.Info ↗
Hex color
#018A88
RGB(1, 138, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.136.

Address
0.1.138.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.136

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 101,000 and was likely granted around 1870.

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

Look up US101,000 on Google Patents ↗ Look up on USPTO ↗
Position in π

The digit sequence 101000 first appears in π at position 852 of the decimal expansion (the 852ordinal-suffix:nd 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.

Look up 101000 on Pi Search ↗