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103110106289 is a prime number
BaseRepresentation
bin110000000000111010…
…1110101110010110001
3100212010220212010000112
41200001311311302301
53142132141400124
6115211303231105
710310110304531
oct1400165656261
9325126763015
10103110106289
113a801a6aa83
1217b97448495
139952c65818
144dc21294c1
152a372cc90e
hex1801d75cb1

103110106289 has 2 divisors, whose sum is σ = 103110106290. Its totient is φ = 103110106288.

The previous prime is 103110106237. The next prime is 103110106331. The reversal of 103110106289 is 982601011301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77502105664 + 25608000625 = 278392^2 + 160025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103110106289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (103110106219) 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, 51555053144 + 51555053145.

It is an arithmetic number, because the mean of its divisors is an integer number (51555053145).

Almost surely, 2103110106289 is an apocalyptic number.

It is an amenable number.

103110106289 is a deficient number, since it is larger than the sum of its proper divisors (1).

103110106289 is an equidigital number, since it uses as much as digits as its factorization.

103110106289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 103110106289 in words is "one hundred three billion, one hundred ten million, one hundred six thousand, two hundred eighty-nine".