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101,016

101,016 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 Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
610,101
Flips to (rotate 180°)
910,101
Square (n²)
10,204,232,256
Cube (n³)
1,030,790,725,572,096
Divisor count
48
σ(n) — sum of divisors
290,160
φ(n) — Euler's totient
31,680
Sum of prime factors
96

Primality

Prime factorization: 2 3 × 3 2 × 23 × 61

Nearest primes: 101,009 (−7) · 101,021 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 23 · 24 · 36 · 46 · 61 · 69 · 72 · 92 · 122 · 138 · 183 · 184 · 207 · 244 · 276 · 366 · 414 · 488 · 549 · 552 · 732 · 828 · 1098 · 1403 · 1464 · 1656 · 2196 · 2806 · 4209 · 4392 · 5612 · 8418 · 11224 · 12627 · 16836 · 25254 · 33672 · 50508 (half) · 101016
Aliquot sum (sum of proper divisors): 189,144
Factor pairs (a × b = 101,016)
1 × 101016
2 × 50508
3 × 33672
4 × 25254
6 × 16836
8 × 12627
9 × 11224
12 × 8418
18 × 5612
23 × 4392
24 × 4209
36 × 2806
46 × 2196
61 × 1656
69 × 1464
72 × 1403
92 × 1098
122 × 828
138 × 732
183 × 552
184 × 549
207 × 488
244 × 414
276 × 366
First multiples
101,016 · 202,032 (double) · 303,048 · 404,064 · 505,080 · 606,096 · 707,112 · 808,128 · 909,144 · 1,010,160

Sums & aliquot sequence

As consecutive integers: 33,671 + 33,672 + 33,673 11,220 + 11,221 + … + 11,228 6,306 + 6,307 + … + 6,321 4,381 + 4,382 + … + 4,403
Aliquot sequence: 101,016 189,144 344,376 588,504 1,162,536 1,796,664 2,695,056 5,887,728 15,718,032 32,274,432 67,381,488 121,193,496 218,262,324 377,316,044 377,316,100 590,746,940 965,736,100 — unresolved within range

Continued fraction of √n

√101,016 = [317; (1, 4, 1, 7, 1, 6, 1, 24, 1, 1, 4, 5, 31, 1, 1, 2, 4, 3, 4, 2, 1, 1, 31, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand sixteen
Ordinal
101016th
Binary
11000101010011000
Octal
305230
Hexadecimal
0x18A98
Base64
AYqY
One's complement
4,294,866,279 (32-bit)
Scientific notation
1.01016 × 10⁵
In other bases
ternary (3) 12010120100
quaternary (4) 120222120
quinary (5) 11213031
senary (6) 2055400
septenary (7) 600336
nonary (9) 163510
undecimal (11) 69993
duodecimal (12) 4a560
tridecimal (13) 36c96
tetradecimal (14) 28b56
pentadecimal (15) 1ede6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραιϛʹ
Mayan (base 20)
𝋬·𝋬·𝋪·𝋰
Chinese
一十萬一千零一十六
Chinese (financial)
壹拾萬壹仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠١٠١٦ Devanagari १०१०१६ Bengali ১০১০১৬ Tamil ௧௦௧௦௧௬ Thai ๑๐๑๐๑๖ Tibetan ༡༠༡༠༡༦ Khmer ១០១០១៦ Lao ໑໐໑໐໑໖ Burmese ၁၀၁၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101016, here are decompositions:

  • 7 + 101009 = 101016
  • 17 + 100999 = 101016
  • 29 + 100987 = 101016
  • 59 + 100957 = 101016
  • 73 + 100943 = 101016
  • 79 + 100937 = 101016
  • 89 + 100927 = 101016
  • 103 + 100913 = 101016

Showing the first eight; more decompositions exist.

Unicode codepoint
𘪘
Tangut Component-665
U+18A98
Other letter (Lo)

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

Hex color
#018A98
RGB(1, 138, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.152.

Address
0.1.138.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.152

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 101,016 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 101016 first appears in π at position 168,841 of the decimal expansion (the 168,841ordinal-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.