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10917318121 is a prime number
BaseRepresentation
bin10100010101011100…
…10000110111101001
31001011211212020000121
422022232100313221
5134324313134441
65003152003241
7534353446543
oct121256206751
931154766017
1010917318121
1146a25a5766
122148230521
13104ca68668
14757d0a693
1543d6aadd1
hex28ab90de9

10917318121 has 2 divisors, whose sum is σ = 10917318122. Its totient is φ = 10917318120.

The previous prime is 10917318089. The next prime is 10917318133. The reversal of 10917318121 is 12181371901.

10917318121 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., 8317440000 + 2599878121 = 91200^2 + 50989^2 .

It is an emirp because it is prime and its reverse (12181371901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10917318121 - 25 = 10917318089 is a prime.

It is a super-2 number, since 2×109173181212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10917318151) 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, 5458659060 + 5458659061.

It is an arithmetic number, because the mean of its divisors is an integer number (5458659061).

Almost surely, 210917318121 is an apocalyptic number.

It is an amenable number.

10917318121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10917318121 is an equidigital number, since it uses as much as digits as its factorization.

10917318121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 34.

The spelling of 10917318121 in words is "ten billion, nine hundred seventeen million, three hundred eighteen thousand, one hundred twenty-one".