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213202111330313 = 72172191395700713
BaseRepresentation
bin110000011110011111111100…
…000111000111100000001001
31000221212220220201020222001022
4300132133330013013200021
5210421100411000032223
62033235410421202225
762623226033130200
oct6036377407074011
91027786821228038
10213202111330313
1161a29564750a26
121bab3bb7860375
1391c6b467c0531
143a910742c6237
15199ad221eeac8
hexc1e7fc1c7809

213202111330313 has 72 divisors (see below), whose sum is σ = 279319024000800. Its totient is φ = 161770335777792.

The previous prime is 213202111330249. The next prime is 213202111330331. The reversal of 213202111330313 is 313033111202312.

213202111330313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213202111330313 - 26 = 213202111330249 is a prime.

It is a super-3 number, since 3×2132021113303133 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213202111330333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34548845 + ... + 40249557.

It is an arithmetic number, because the mean of its divisors is an integer number (3879430888900).

Almost surely, 2213202111330313 is an apocalyptic number.

It is an amenable number.

213202111330313 is a deficient number, since it is larger than the sum of its proper divisors (66116912670487).

213202111330313 is a wasteful number, since it uses less digits than its factorization.

213202111330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700919 (or 5700895 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 213202111330313 its reverse (313033111202312), we get a palindrome (526235222532625).

The spelling of 213202111330313 in words is "two hundred thirteen trillion, two hundred two billion, one hundred eleven million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 7 17 19 49 119 133 139 289 323 833 931 973 2023 2261 2363 2641 5491 6811 14161 15827 16541 18487 38437 40171 44897 115787 129409 269059 281197 314279 763249 1968379 2199953 5342743 5700713 37399201 39904991 96912121 108313547 279334937 678384847 758194829 792399107 1647506057 1841330299 4748693929 5307363803 5546793749 11532542399 12889312093 13470784819 15055583033 31302615083 38827556243 80727796793 90225184651 94295493733 105389081231 219118305581 229003341923 255944911561 660068456131 737723568617 1533828139067 1603023393461 1791614380927 4351063496537 11221163754227 12541300666489 30457444475759 213202111330313