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103110106217 is a prime number
BaseRepresentation
bin110000000000111010…
…1110101110001101001
3100212010220212002220212
41200001311311301221
53142132141344332
6115211303230505
710310110304366
oct1400165656151
9325126762825
10103110106217
113a801a6aa18
1217b97448435
139952c65791
144dc212946d
152a372cc8b2
hex1801d75c69

103110106217 has 2 divisors, whose sum is σ = 103110106218. Its totient is φ = 103110106216.

The previous prime is 103110106181. The next prime is 103110106219. The reversal of 103110106217 is 712601011301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71376602896 + 31733503321 = 267164^2 + 178139^2 .

It is a cyclic number.

It is not a de Polignac number, because 103110106217 - 28 = 103110105961 is a prime.

Together with 103110106219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103110106192 and 103110106201.

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, 51555053108 + 51555053109.

It is an arithmetic number, because the mean of its divisors is an integer number (51555053109).

Almost surely, 2103110106217 is an apocalyptic number.

It is an amenable number.

103110106217 is a deficient number, since it is larger than the sum of its proper divisors (1).

103110106217 is an equidigital number, since it uses as much as digits as its factorization.

103110106217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 103110106217 its reverse (712601011301), we get a palindrome (815711117518).

The spelling of 103110106217 in words is "one hundred three billion, one hundred ten million, one hundred six thousand, two hundred seventeen".