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201343122101034 = 232293136011345517
BaseRepresentation
bin101101110001111011011001…
…010001010101001100101010
3222101220012210100211012202200
4231301323121101111030222
5202342301203224213114
61552115430421241030
760260363155644324
oct5561733121251452
9871805710735680
10201343122101034
1159177158470271
121a6b9790263176
138846762201424
1437a10b8288614
1518425e3b0d409
hexb71ed945532a

201343122101034 has 96 divisors (see below), whose sum is σ = 465858215447040. Its totient is φ = 62707837046400.

The previous prime is 201343122101027. The next prime is 201343122101057. The reversal of 201343122101034 is 430101221343102.

201343122101034 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 431 + 2 + 210 + 10 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 201343122100989 and 201343122101007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582557244 + ... + 582902760.

It is an arithmetic number, because the mean of its divisors is an integer number (4852689744240).

Almost surely, 2201343122101034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201343122101034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232929107723520).

201343122101034 is an abundant number, since it is smaller than the sum of its proper divisors (264515093346006).

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

201343122101034 is a wasteful number, since it uses less digits than its factorization.

201343122101034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381596 (or 381593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201343122101034 its reverse (430101221343102), we get a palindrome (631444343444136).

The spelling of 201343122101034 in words is "two hundred one trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 8091 16182 36011 72022 108033 216066 324099 345517 648198 691034 1036551 1044319 1116341 2073102 2088638 2232682 3109653 3132957 3349023 6219306 6265914 6698046 9398871 10019993 10047069 10711027 18797742 20039986 20094138 21422054 30059979 32133081 32373889 60119958 64266162 64747778 90179937 96399243 97121667 180359874 192798486 194243334 291365001 310619783 582730002 621239566 931859349 1863718698 2795578047 5591156094 12442412687 24884825374 37327238061 74654476122 111981714183 223963428366 360829967923 385714793297 721659935846 771429586594 1082489903769 1157144379891 2164979807538 2314288759782 3247469711307 3471433139673 6494939422614 6942866279346 11185729005613 22371458011226 33557187016839 67114374033678 100671561050517 201343122101034