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101,616

101,616 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 Evil Number Flippable Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
616,101
Flips to (rotate 180°)
919,101
Square (n²)
10,325,811,456
Cube (n³)
1,049,267,656,912,896
Divisor count
40
σ(n) — sum of divisors
275,280
φ(n) — Euler's totient
32,256
Sum of prime factors
113

Primality

Prime factorization: 2 4 × 3 × 29 × 73

Nearest primes: 101,611 (−5) · 101,627 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 29 · 48 · 58 · 73 · 87 · 116 · 146 · 174 · 219 · 232 · 292 · 348 · 438 · 464 · 584 · 696 · 876 · 1168 · 1392 · 1752 · 2117 · 3504 · 4234 · 6351 · 8468 · 12702 · 16936 · 25404 · 33872 · 50808 (half) · 101616
Aliquot sum (sum of proper divisors): 173,664
Factor pairs (a × b = 101,616)
1 × 101616
2 × 50808
3 × 33872
4 × 25404
6 × 16936
8 × 12702
12 × 8468
16 × 6351
24 × 4234
29 × 3504
48 × 2117
58 × 1752
73 × 1392
87 × 1168
116 × 876
146 × 696
174 × 584
219 × 464
232 × 438
292 × 348
First multiples
101,616 · 203,232 (double) · 304,848 · 406,464 · 508,080 · 609,696 · 711,312 · 812,928 · 914,544 · 1,016,160

Sums & aliquot sequence

As consecutive integers: 33,871 + 33,872 + 33,873 3,490 + 3,491 + … + 3,518 3,160 + 3,161 + … + 3,191 1,356 + 1,357 + … + 1,428
Aliquot sequence: 101,616 173,664 344,700 738,564 984,780 2,002,932 3,500,748 5,541,012 8,573,088 13,931,520 30,676,704 54,591,024 86,435,912 75,808,948 56,926,032 92,632,848 210,776,304 — unresolved within range

Continued fraction of √n

√101,616 = [318; (1, 3, 2, 1, 1, 24, 1, 10, 4, 2, 6, 5, 8, 1, 3, 1, 1, 1, 27, 12, 1, 38, 1, 12, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand six hundred sixteen
Ordinal
101616th
Binary
11000110011110000
Octal
306360
Hexadecimal
0x18CF0
Base64
AYzw
One's complement
4,294,865,679 (32-bit)
Scientific notation
1.01616 × 10⁵
As a duration
101,616 s = 1 day, 4 hours, 13 minutes, 36 seconds
In other bases
ternary (3) 12011101120
quaternary (4) 120303300
quinary (5) 11222431
senary (6) 2102240
septenary (7) 602154
nonary (9) 164346
undecimal (11) 6a389
duodecimal (12) 4a980
tridecimal (13) 37338
tetradecimal (14) 29064
pentadecimal (15) 20196

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραχιϛʹ
Mayan (base 20)
𝋬·𝋮·𝋠·𝋰
Chinese
一十萬一千六百一十六
Chinese (financial)
壹拾萬壹仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٠١٦١٦ Devanagari १०१६१६ Bengali ১০১৬১৬ Tamil ௧௦௧௬௧௬ Thai ๑๐๑๖๑๖ Tibetan ༡༠༡༦༡༦ Khmer ១០១៦១៦ Lao ໑໐໑໖໑໖ Burmese ၁၀၁၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101616, here are decompositions:

  • 5 + 101611 = 101616
  • 13 + 101603 = 101616
  • 17 + 101599 = 101616
  • 43 + 101573 = 101616
  • 79 + 101537 = 101616
  • 83 + 101533 = 101616
  • 89 + 101527 = 101616
  • 103 + 101513 = 101616

Showing the first eight; more decompositions exist.

Hex color
#018CF0
RGB(1, 140, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.240.

Address
0.1.140.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.240

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 101,616 and was likely granted around 1870.

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