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3301442131335 = 352952155726153
BaseRepresentation
bin110000000010101101010…
…010010001010110000111
3102200121121011211011110220
4300002231102101112013
5413042323141200320
611004354522315423
7460343546045115
oct60025522212607
912617534734426
103301442131335
111063152018657
12453a12358b73
131ac42b36bc5a
14b5b0d796ab5
155ad2881ae40
hex300ad491587

3301442131335 has 64 divisors (see below), whose sum is σ = 5484983402880. Its totient is φ = 1693678837760.

The previous prime is 3301442131331. The next prime is 3301442131369. The reversal of 3301442131335 is 5331312441033.

It is a happy number.

It is not a de Polignac number, because 3301442131335 - 22 = 3301442131331 is a prime.

It is a super-3 number, since 3×33014421313353 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3301442131296 and 3301442131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301442131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126222619 + ... + 126248771.

It is an arithmetic number, because the mean of its divisors is an integer number (85702865670).

Almost surely, 23301442131335 is an apocalyptic number.

3301442131335 is a deficient number, since it is larger than the sum of its proper divisors (2183541271545).

3301442131335 is a wasteful number, since it uses less digits than its factorization.

3301442131335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27268.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 3301442131335 its reverse (5331312441033), we get a palindrome (8632754572368).

The spelling of 3301442131335 in words is "three trillion, three hundred one billion, four hundred forty-two million, one hundred thirty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 15 29 87 145 435 521 557 1563 1671 2605 2785 7815 8355 15109 16153 26153 45327 48459 75545 78459 80765 130765 226635 242295 290197 392295 758437 870591 1450985 2275311 3792185 4352955 8415713 11376555 13625713 14567221 25247139 40877139 42078565 43701663 68128565 72836105 126235695 204385695 218508315 395145677 422449409 1185437031 1267348227 1975728385 2112247045 5927185155 6336741135 7589522141 22768566423 37947610705 113842832115 220096142089 660288426267 1100480710445 3301442131335