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213353034041034 = 233171012301096163
BaseRepresentation
bin110000100000101100011111…
…110011100100011011001010
31000222102100110202222001002000
4300200230133303210123022
5210431034003203303114
62033433010350451430
762640151035036156
oct6040543763443312
91028370422861060
10213353034041034
1161a87571683318
121bb192b7503b76
139208149288564
143a984b0426066
15199ec06ce4e09
hexc20b1fce46ca

213353034041034 has 64 divisors (see below), whose sum is σ = 506977506852480. Its totient is φ = 66271569465600.

The previous prime is 213353034041033. The next prime is 213353034041039. The reversal of 213353034041034 is 430140430353312.

213353034041034 is a `hidden beast` number, since 2 + 1 + 335 + 303 + 4 + 0 + 4 + 10 + 3 + 4 = 666.

It is a super-2 number, since 2×2133530340410342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213353034041034.

It is not an unprimeable number, because it can be changed into a prime (213353034041033) by changing a digit.

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, 1150455364 + ... + 1150640799.

It is an arithmetic number, because the mean of its divisors is an integer number (7921523544570).

Almost surely, 2213353034041034 is an apocalyptic number.

213353034041034 is an abundant number, since it is smaller than the sum of its proper divisors (293624472811446).

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

213353034041034 is a wasteful number, since it uses less digits than its factorization.

213353034041034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301096292 (or 2301096286 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 213353034041034 its reverse (430140430353312), we get a palindrome (643493464394346).

The spelling of 213353034041034 in words is "two hundred thirteen trillion, three hundred fifty-three billion, thirty-four million, forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1717 1818 2727 3434 5151 5454 10302 15453 30906 46359 92718 2301096163 4602192326 6903288489 13806576978 20709865467 39118634771 41419730934 62129596401 78237269542 117355904313 124259192802 232410712463 234711808626 352067712939 464821424926 697232137389 704135425878 1056203138817 1394464274778 2091696412167 2112406277634 3950982111871 4183392824334 6275089236501 7901964223742 11852946335613 12550178473002 23705892671226 35558839006839 71117678013678 106676517020517 213353034041034