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10414332353 is a prime number
BaseRepresentation
bin10011011001011111…
…00001100111000001
3222212210101220021002
421230233201213001
5132312032113403
64441223141345
7516035235665
oct115457414701
928783356232
1010414332353
11446468a047
1220278a4855
13c9c7a9549
1470b1b88a5
1540e453188
hex26cbe19c1

10414332353 has 2 divisors, whose sum is σ = 10414332354. Its totient is φ = 10414332352.

The previous prime is 10414332349. The next prime is 10414332371. The reversal of 10414332353 is 35323341401.

10414332353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7120490689 + 3293841664 = 84383^2 + 57392^2 .

It is an emirp because it is prime and its reverse (35323341401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10414332353 - 22 = 10414332349 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414332323) 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 as a sum of consecutive naturals, namely, 5207166176 + 5207166177.

It is an arithmetic number, because the mean of its divisors is an integer number (5207166177).

Almost surely, 210414332353 is an apocalyptic number.

It is an amenable number.

10414332353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414332353 is an equidigital number, since it uses as much as digits as its factorization.

10414332353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 10414332353 its reverse (35323341401), we get a palindrome (45737673754).

The spelling of 10414332353 in words is "ten billion, four hundred fourteen million, three hundred thirty-two thousand, three hundred fifty-three".