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101,088

101,088 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 Arithmetic Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
880,101
Flips to (rotate 180°)
880,101
Recamán's sequence
a(98,623) = 101,088
Square (n²)
10,218,783,744
Cube (n³)
1,032,996,411,113,472
Divisor count
72
σ(n) — sum of divisors
321,048
φ(n) — Euler's totient
31,104
Sum of prime factors
38

Primality

Prime factorization: 2 5 × 3 5 × 13

Nearest primes: 101,081 (−7) · 101,089 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 27 · 32 · 36 · 39 · 48 · 52 · 54 · 72 · 78 · 81 · 96 · 104 · 108 · 117 · 144 · 156 · 162 · 208 · 216 · 234 · 243 · 288 · 312 · 324 · 351 · 416 · 432 · 468 · 486 · 624 · 648 · 702 · 864 · 936 · 972 · 1053 · 1248 · 1296 · 1404 · 1872 · 1944 · 2106 · 2592 · 2808 · 3159 · 3744 · 3888 · 4212 · 5616 · 6318 · 7776 · 8424 · 11232 · 12636 · 16848 · 25272 · 33696 · 50544 (half) · 101088
Aliquot sum (sum of proper divisors): 219,960
Factor pairs (a × b = 101,088)
1 × 101088
2 × 50544
3 × 33696
4 × 25272
6 × 16848
8 × 12636
9 × 11232
12 × 8424
13 × 7776
16 × 6318
18 × 5616
24 × 4212
26 × 3888
27 × 3744
32 × 3159
36 × 2808
39 × 2592
48 × 2106
52 × 1944
54 × 1872
72 × 1404
78 × 1296
81 × 1248
96 × 1053
104 × 972
108 × 936
117 × 864
144 × 702
156 × 648
162 × 624
208 × 486
216 × 468
234 × 432
243 × 416
288 × 351
312 × 324
First multiples
101,088 · 202,176 (double) · 303,264 · 404,352 · 505,440 · 606,528 · 707,616 · 808,704 · 909,792 · 1,010,880

Sums & aliquot sequence

As a sum of two cubes: 30³ + 42³
As consecutive integers: 33,695 + 33,696 + 33,697 11,228 + 11,229 + … + 11,236 7,770 + 7,771 + … + 7,782 3,731 + 3,732 + … + 3,757
Aliquot sequence: 101,088 219,960 566,280 1,612,260 3,783,312 8,132,592 14,494,432 15,027,368 13,148,962 7,550,750 6,584,722 3,411,614 1,705,810 1,436,846 718,426 373,094 192,394 — unresolved within range

Continued fraction of √n

√101,088 = [317; (1, 16, 1, 1, 1, 69, 1, 157, 1, 69, 1, 1, 1, 16, 1, 634)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand eighty-eight
Ordinal
101088th
Binary
11000101011100000
Octal
305340
Hexadecimal
0x18AE0
Base64
AYrg
One's complement
4,294,866,207 (32-bit)
Scientific notation
1.01088 × 10⁵
In other bases
ternary (3) 12010200000
quaternary (4) 120223200
quinary (5) 11213323
senary (6) 2100000
septenary (7) 600501
nonary (9) 163600
undecimal (11) 69a49
duodecimal (12) 4a600
tridecimal (13) 37020
tetradecimal (14) 28ba8
pentadecimal (15) 1ee43

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραπηʹ
Mayan (base 20)
𝋬·𝋬·𝋮·𝋨
Chinese
一十萬一千零八十八
Chinese (financial)
壹拾萬壹仟零捌拾捌
In other modern scripts
Eastern Arabic ١٠١٠٨٨ Devanagari १०१०८८ Bengali ১০১০৮৮ Tamil ௧௦௧௦௮௮ Thai ๑๐๑๐๘๘ Tibetan ༡༠༡༠༨༨ Khmer ១០១០៨៨ Lao ໑໐໑໐໘໘ Burmese ၁၀၁၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101088, here are decompositions:

  • 7 + 101081 = 101088
  • 37 + 101051 = 101088
  • 61 + 101027 = 101088
  • 67 + 101021 = 101088
  • 79 + 101009 = 101088
  • 89 + 100999 = 101088
  • 101 + 100987 = 101088
  • 107 + 100981 = 101088

Showing the first eight; more decompositions exist.

Unicode codepoint
𘫠
Tangut Component-737
U+18AE0
Other letter (Lo)

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

Hex color
#018AE0
RGB(1, 138, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.224.

Address
0.1.138.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.224

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 101,088 and was likely granted around 1870.

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