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120220110010110 = 235113896079154057
BaseRepresentation
bin11011010101011011101100…
…111100111011011011111110
3120202122221010011121002012010
4123111123230330323123332
5111224141241130310420
61103404204530152050
734215421253331225
oct3325335474733376
9522587104532163
10120220110010110
1135340075a72680
1211597567722626
135210927b605c6
142198981cb1cbc
15dd73033264e0
hex6d56ecf3b6fe

120220110010110 has 128 divisors (see below), whose sum is σ = 315621212774400. Its totient is φ = 29064377502720.

The previous prime is 120220110010097. The next prime is 120220110010201. The reversal of 120220110010110 is 11010011022021.

120220110010110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780284202 + ... + 780438258.

It is an arithmetic number, because the mean of its divisors is an integer number (2465790724800).

Almost surely, 2120220110010110 is an apocalyptic number.

120220110010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220110010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157810606387200).

120220110010110 is an abundant number, since it is smaller than the sum of its proper divisors (195401102764290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120220110010110 is a wasteful number, since it uses less digits than its factorization.

120220110010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160546.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120220110010110 its reverse (11010011022021), we get a palindrome (131230121032131).

The spelling of 120220110010110 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred ten million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 389 778 1167 1945 2334 3890 4279 5835 6079 8558 11670 12158 12837 18237 21395 25674 30395 36474 42790 60790 64185 66869 91185 128370 133738 154057 182370 200607 308114 334345 401214 462171 668690 770285 924342 1003035 1540570 1694627 2006070 2310855 2364731 3389254 4621710 4729462 5083881 7094193 8473135 10167762 11823655 14188386 16946270 23647310 25419405 26012041 35470965 50838810 52024082 59928173 70941930 78036123 119856346 130060205 156072246 179784519 260120410 299640865 359569038 390180615 599281730 659209903 780361230 898922595 936512503 1318419806 1797845190 1873025006 1977629709 2809537509 3296049515 3955259418 4682562515 5619075018 6592099030 9365125030 9888148545 10301637533 14047687545 19776297090 20603275066 28095375090 30904912599 51508187665 61809825198 103016375330 154524562995 309049125990 364303363667 728606727334 1092910091001 1821516818335 2185820182002 3643033636670 4007337000337 5464550455005 8014674000674 10929100910010 12022011001011 20036685001685 24044022002022 40073370003370 60110055005055 120220110010110