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343331313330213 = 321359355071400753
BaseRepresentation
bin100111000010000100000110…
…0111110001010100000100101
31200000122011010112121220002200
41032010020030332022200211
5330000120012203031323
63214112121122325113
7132213604001612265
oct11604101476124045
91600564115556080
10343331313330213
119a439aa0822a6a
123260baaa1b9799
1311976008817720
1460ad4779857a5
1529a5c7e52c443
hex138420cf8a825

343331313330213 has 48 divisors (see below), whose sum is σ = 543138665509440. Its totient is φ = 207693779738112.

The previous prime is 343331313330197. The next prime is 343331313330223. The reversal of 343331313330213 is 312033313133343.

343331313330213 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 3 + 1 + 313 + 330 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 343331313330213 - 24 = 343331313330197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343331313330223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244404445 + ... + 245805197.

It is an arithmetic number, because the mean of its divisors is an integer number (11315388864780).

Almost surely, 2343331313330213 is an apocalyptic number.

It is an amenable number.

343331313330213 is a deficient number, since it is larger than the sum of its proper divisors (199807352179227).

343331313330213 is a wasteful number, since it uses less digits than its factorization.

343331313330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436338 (or 1436335 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 36.

Adding to 343331313330213 its reverse (312033313133343), we get a palindrome (655364626463556).

The spelling of 343331313330213 in words is "three hundred forty-three trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 59 117 177 531 767 2301 6903 35507 106521 319563 461591 1384773 1400753 2094913 4154319 4202259 6284739 12606777 18209789 18854217 27233869 54629367 81701607 82644427 163888101 245104821 247933281 743799843 1074377551 3223132653 9669397959 49736536771 149209610313 447628830939 646574978023 1939724934069 2934455669489 5819174802207 8803367008467 26410101025401 38147923703357 114443771110071 343331313330213