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101,990

101,990 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.).

101,990 (one hundred one thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 31 × 47. Its proper divisors sum to 119,194, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18E66.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
99,101
Flips to (rotate 180°)
66,101
Square (n²)
10,401,960,100
Cube (n³)
1,060,895,910,599,000
Divisor count
32
σ(n) — sum of divisors
221,184
φ(n) — Euler's totient
33,120
Sum of prime factors
92

Primality

Prime factorization: 2 × 5 × 7 × 31 × 47

Nearest primes: 101,987 (−3) · 101,999 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 31 · 35 · 47 · 62 · 70 · 94 · 155 · 217 · 235 · 310 · 329 · 434 · 470 · 658 · 1085 · 1457 · 1645 · 2170 · 2914 · 3290 · 7285 · 10199 · 14570 · 20398 · 50995 (half) · 101990
Aliquot sum (sum of proper divisors): 119,194
Factor pairs (a × b = 101,990)
1 × 101990
2 × 50995
5 × 20398
7 × 14570
10 × 10199
14 × 7285
31 × 3290
35 × 2914
47 × 2170
62 × 1645
70 × 1457
94 × 1085
155 × 658
217 × 470
235 × 434
310 × 329
First multiples
101,990 · 203,980 (double) · 305,970 · 407,960 · 509,950 · 611,940 · 713,930 · 815,920 · 917,910 · 1,019,900

Sums & aliquot sequence

As consecutive integers: 25,496 + 25,497 + 25,498 + 25,499 20,396 + 20,397 + 20,398 + 20,399 + 20,400 14,567 + 14,568 + … + 14,573 5,090 + 5,091 + … + 5,109
Aliquot sequence: 101,990 119,194 62,714 31,360 55,850 48,124 38,060 49,636 37,234 18,620 29,260 51,380 72,268 78,932 78,988 99,764 103,726 — unresolved within range

Continued fraction of √n

√101,990 = [319; (2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 638)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand nine hundred ninety
Ordinal
101990th
Binary
11000111001100110
Octal
307146
Hexadecimal
0x18E66
Base64
AY5m
One's complement
4,294,865,305 (32-bit)
Scientific notation
1.0199 × 10⁵
As a duration
101,990 s = 1 day, 4 hours, 19 minutes, 50 seconds
In other bases
ternary (3) 12011220102
quaternary (4) 120321212
quinary (5) 11230430
senary (6) 2104102
septenary (7) 603230
nonary (9) 164812
undecimal (11) 6a699
duodecimal (12) 4b032
tridecimal (13) 37565
tetradecimal (14) 29250
pentadecimal (15) 20345

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ραϡϟʹ
Mayan (base 20)
𝋬·𝋮·𝋳·𝋪
Chinese
一十萬一千九百九十
Chinese (financial)
壹拾萬壹仟玖佰玖拾
In other modern scripts
Eastern Arabic ١٠١٩٩٠ Devanagari १०१९९० Bengali ১০১৯৯০ Tamil ௧௦௧௯௯௦ Thai ๑๐๑๙๙๐ Tibetan ༡༠༡༩༩༠ Khmer ១០១៩៩០ Lao ໑໐໑໙໙໐ Burmese ၁၀၁၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101990, here are decompositions:

  • 3 + 101987 = 101990
  • 13 + 101977 = 101990
  • 61 + 101929 = 101990
  • 73 + 101917 = 101990
  • 127 + 101863 = 101990
  • 151 + 101839 = 101990
  • 157 + 101833 = 101990
  • 193 + 101797 = 101990

Showing the first eight; more decompositions exist.

Hex color
#018E66
RGB(1, 142, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.102.

Address
0.1.142.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.102

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 101,990 and was likely granted around 1870.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.