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14155121331 = 331360296689
BaseRepresentation
bin11010010111011011…
…00000001010110011
31100112111100200001000
431023231200022303
5212442202340311
610300333213043
71010530355211
oct151355401263
940474320030
1014155121331
11600421918a
1228b0631183
1314477b1b50
14983d35cb1
1557ca75056
hex34bb602b3

14155121331 has 32 divisors (see below), whose sum is σ = 22590792000. Its totient is φ = 8708097024.

The previous prime is 14155121297. The next prime is 14155121341. The reversal of 14155121331 is 13312155141.

14155121331 is a `hidden beast` number, since 1 + 4 + 15 + 512 + 133 + 1 = 666.

14155121331 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 14155121331 - 210 = 14155120307 is a prime.

It is a super-2 number, since 2×141551213312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14155121295 and 14155121304.

It is not an unprimeable number, because it can be changed into a prime (14155121341) 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 31 ways as a sum of consecutive naturals, for example, 2112835 + ... + 2119523.

It is an arithmetic number, because the mean of its divisors is an integer number (705962250).

Almost surely, 214155121331 is an apocalyptic number.

14155121331 is a deficient number, since it is larger than the sum of its proper divisors (8435670669).

14155121331 is a wasteful number, since it uses less digits than its factorization.

14155121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12734 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 14155121331 its reverse (13312155141), we get a palindrome (27467276472).

The spelling of 14155121331 in words is "fourteen billion, one hundred fifty-five million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 6029 6689 18087 20067 54261 60201 78377 86957 162783 180603 235131 260871 705393 782613 2116179 2347839 40327981 120983943 362951829 524263753 1088855487 1572791259 4718373777 14155121331