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10108538749 is a prime number
BaseRepresentation
bin10010110101000010…
…00000111101111101
3222002110222222022001
421122201000331331
5131200241214444
64351021022301
7505333106311
oct113241007575
928073888261
1010108538749
114318008861
121b613b4991
13c5133069a
146bc737b41
153e269c8d4
hex25a840f7d

10108538749 has 2 divisors, whose sum is σ = 10108538750. Its totient is φ = 10108538748.

The previous prime is 10108538747. The next prime is 10108538873. The reversal of 10108538749 is 94783580101.

It is a happy number.

10108538749 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., 9349536249 + 759002500 = 96693^2 + 27550^2 .

It is a cyclic number.

It is not a de Polignac number, because 10108538749 - 21 = 10108538747 is a prime.

Together with 10108538747, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10108538699 and 10108538708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10108538747) 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, 5054269374 + 5054269375.

It is an arithmetic number, because the mean of its divisors is an integer number (5054269375).

Almost surely, 210108538749 is an apocalyptic number.

It is an amenable number.

10108538749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10108538749 is an equidigital number, since it uses as much as digits as its factorization.

10108538749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 10108538749 in words is "ten billion, one hundred eight million, five hundred thirty-eight thousand, seven hundred forty-nine".