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34110041240220 = 22351159038755189
BaseRepresentation
bin1111100000101110111001…
…11001000011001010011100
311110202212222102101122201220
413300113130321003022130
513432324331024141340
6200313534150533340
710120240422454551
oct760273471031234
9143685872348656
1034110041240220
11a960a95040160
1239aa907967250
131605742143a7a
1485cd13166a28
153e24317c5ed0
hex1f05dce4329c

34110041240220 has 96 divisors (see below), whose sum is σ = 104208333788160. Its totient is φ = 8267699132160.

The previous prime is 34110041240087. The next prime is 34110041240237. The reversal of 34110041240220 is 2204214001143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481615 + ... + 8273574.

It is an arithmetic number, because the mean of its divisors is an integer number (1085503476960).

Almost surely, 234110041240220 is an apocalyptic number.

34110041240220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34110041240220 is an abundant number, since it is smaller than the sum of its proper divisors (70098292547940).

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

34110041240220 is a wasteful number, since it uses less digits than its factorization.

34110041240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761115 (or 8761113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34110041240220 its reverse (2204214001143), we get a palindrome (36314255241363).

The spelling of 34110041240220 in words is "thirty-four trillion, one hundred ten billion, forty-one million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5903 11806 17709 23612 29515 35418 59030 64933 70836 88545 118060 129866 177090 194799 259732 324665 354180 389598 649330 779196 973995 1298660 1947990 3895980 8755189 17510378 26265567 35020756 43775945 52531134 87551890 96307079 105062268 131327835 175103780 192614158 262655670 288921237 385228316 481535395 525311340 577842474 963070790 1155684948 1444606185 1926141580 2889212370 5778424740 51681880667 103363761334 155045642001 206727522668 258409403335 310091284002 516818806670 568500687337 620182568004 775228210005 1033637613340 1137001374674 1550456420010 1705502062011 2274002749348 2842503436685 3100912840020 3411004124022 5685006873370 6822008248044 8527510310055 11370013746740 17055020620110 34110041240220