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10100301149 is a prime number
BaseRepresentation
bin10010110100000011…
…00101110101011101
3222001220111110102202
421122001211311131
5131141134114044
64350124301245
7505203100061
oct113201456535
928056443382
1010100301149
1143133a1824
121b5a6a1825
13c4c708073
146bb5d1aa1
153e1ac1c4e
hex25a065d5d

10100301149 has 2 divisors, whose sum is σ = 10100301150. Its totient is φ = 10100301148.

The previous prime is 10100301119. The next prime is 10100301161. The reversal of 10100301149 is 94110300101.

10100301149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9802980100 + 297321049 = 99010^2 + 17243^2 .

It is an emirp because it is prime and its reverse (94110300101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100301149 - 220 = 10099252573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100301149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100301119) 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, 5050150574 + 5050150575.

It is an arithmetic number, because the mean of its divisors is an integer number (5050150575).

Almost surely, 210100301149 is an apocalyptic number.

It is an amenable number.

10100301149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100301149 is an equidigital number, since it uses as much as digits as its factorization.

10100301149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10100301149 in words is "ten billion, one hundred million, three hundred one thousand, one hundred forty-nine".