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10014311341 = 2332933832
BaseRepresentation
bin10010101001110011…
…00100001110101101
3221211220200201121001
421110321210032231
5131002130430331
64333413240301
7503110145656
oct112471441655
927756621531
1010014311341
1142798aa371
121b35933091
13c3795b518
146b000a52d
153d9288561
hex254e643ad

10014311341 has 12 divisors (see below), whose sum is σ = 10118034108. Its totient is φ = 9911353664.

The previous prime is 10014311339. The next prime is 10014311381. The reversal of 10014311341 is 14311341001.

10014311341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6164605225 + 3849706116 = 78515^2 + 62046^2 .

It is not a de Polignac number, because 10014311341 - 21 = 10014311339 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014311381) 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 11 ways as a sum of consecutive naturals, for example, 26146836 + ... + 26147218.

It is an arithmetic number, because the mean of its divisors is an integer number (843169509).

Almost surely, 210014311341 is an apocalyptic number.

It is an amenable number.

10014311341 is a deficient number, since it is larger than the sum of its proper divisors (103722767).

10014311341 is an frugal number, since it uses more digits than its factorization.

10014311341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10014311341 its reverse (14311341001), we get a palindrome (24325652342).

The spelling of 10014311341 in words is "ten billion, fourteen million, three hundred eleven thousand, three hundred forty-one".

Divisors: 1 233 293 383 68269 89239 112219 146689 26147027 34178537 42979877 10014311341