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335301243313113 = 32711868615570281
BaseRepresentation
bin100110000111101000110011…
…1100000000001101111011001
31121222012111010011012100110100
41030033101213200001233121
5322422033421242004423
63145043133101410013
7130424500245636510
oct11417214740015731
91558174104170410
10335301243313113
1197923505623930
1231733763b69909
1311512a051b4c4c
145cb2949873677
1528b6e4c75c343
hex130f467801bd9

335301243313113 has 48 divisors (see below), whose sum is σ = 603839602184832. Its totient is φ = 174180427488000.

The previous prime is 335301243313087. The next prime is 335301243313147. The reversal of 335301243313113 is 311313342103533.

335301243313113 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 0 + 1 + 2 + 4 + 331 + 311 + 3 = 666.

It is not a de Polignac number, because 335301243313113 - 225 = 335301209758681 is a prime.

It is a super-2 number, since 2×3353012433131132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335301243313213) 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 47 ways as a sum of consecutive naturals, for example, 57409533 + ... + 62979813.

It is an arithmetic number, because the mean of its divisors is an integer number (12579991712184).

Almost surely, 2335301243313113 is an apocalyptic number.

335301243313113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

335301243313113 is a deficient number, since it is larger than the sum of its proper divisors (268538358871719).

335301243313113 is a wasteful number, since it uses less digits than its factorization.

335301243313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657166 (or 5657163 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

Adding to 335301243313113 its reverse (311313342103533), we get a palindrome (646614585416646).

The spelling of 335301243313113 in words is "three hundred thirty-five trillion, three hundred one billion, two hundred forty-three million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 86861 260583 608027 781749 955471 1824081 2866413 5472243 5570281 6688297 8599239 16710843 20064891 38991967 50132529 60194673 61273091 116975901 183819273 350927703 428911637 551457819 1286734911 3860204733 483840177941 1451520533823 3386881245587 4354561601469 5322241957351 10160643736761 15966725872053 30481931210283 37255693701457 47900177616159 111767081104371 335301243313113