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10717252121 is a prime number
BaseRepresentation
bin10011111101100110…
…00100101000011001
31000122220101211001202
421332303010220121
5133422104031441
64531243523545
7526404066002
oct117663045031
930586354052
1010717252121
1145aa678164
1220b12295b5
13101a48a304
1473950c1a9
1542ad3c19b
hex27ecc4a19

10717252121 has 2 divisors, whose sum is σ = 10717252122. Its totient is φ = 10717252120.

The previous prime is 10717252099. The next prime is 10717252163. The reversal of 10717252121 is 12125271701.

It is a happy number.

10717252121 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., 6390243721 + 4327008400 = 79939^2 + 65780^2 .

It is an emirp because it is prime and its reverse (12125271701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10717252121 is a prime.

It is a super-2 number, since 2×107172521212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10717252181) 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, 5358626060 + 5358626061.

It is an arithmetic number, because the mean of its divisors is an integer number (5358626061).

Almost surely, 210717252121 is an apocalyptic number.

It is an amenable number.

10717252121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10717252121 is an equidigital number, since it uses as much as digits as its factorization.

10717252121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 29.

The spelling of 10717252121 in words is "ten billion, seven hundred seventeen million, two hundred fifty-two thousand, one hundred twenty-one".