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10442343321 = 3223293172171
BaseRepresentation
bin10011011100110100…
…11000001110011001
3222221202010000002100
421232122120032121
5132341214441241
64444103354013
7516525311424
oct115632301631
928852100070
1010442343321
114479481103
122035152909
13ca5536097
14710bca9bb
15411b379b6
hex26e698399

10442343321 has 24 divisors (see below), whose sum is σ = 15792993216. Its totient is φ = 6636120480.

The previous prime is 10442343311. The next prime is 10442343349. The reversal of 10442343321 is 12334324401.

10442343321 is a `hidden beast` number, since 104 + 4 + 234 + 3 + 321 = 666.

10442343321 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 10442343321 - 29 = 10442342809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442343311) 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 23 ways as a sum of consecutive naturals, for example, 25435 + ... + 146736.

It is an arithmetic number, because the mean of its divisors is an integer number (658041384).

Almost surely, 210442343321 is an apocalyptic number.

It is an amenable number.

10442343321 is a deficient number, since it is larger than the sum of its proper divisors (5350649895).

10442343321 is a wasteful number, since it uses less digits than its factorization.

10442343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172493 (or 172490 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10442343321 its reverse (12334324401), we get a palindrome (22776667722).

The spelling of 10442343321 in words is "ten billion, four hundred forty-two million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 207 293 879 2637 6739 20217 60651 172171 516513 1549539 3959933 11879799 35639397 50446103 151338309 454014927 1160260369 3480781107 10442343321