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100200201217 is a prime number
BaseRepresentation
bin101110101010001100…
…1011011110000000001
3100120122010100121200121
41131110121123300001
53120202222414332
6114010434020241
710145024441344
oct1352431336001
9316563317617
10100200201217
1139549446256
1217504a17681
1395ab1374bc
144bc789645b
152916ad3797
hex175465bc01

100200201217 has 2 divisors, whose sum is σ = 100200201218. Its totient is φ = 100200201216.

The previous prime is 100200201187. The next prime is 100200201221. The reversal of 100200201217 is 712102002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86716114576 + 13484086641 = 294476^2 + 116121^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200201217 - 27 = 100200201089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100200201217.

It is not a weakly prime, because it can be changed into another prime (100200201287) 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, 50100100608 + 50100100609.

It is an arithmetic number, because the mean of its divisors is an integer number (50100100609).

Almost surely, 2100200201217 is an apocalyptic number.

It is an amenable number.

100200201217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200201217 is an equidigital number, since it uses as much as digits as its factorization.

100200201217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 100200201217 its reverse (712102002001), we get a palindrome (812302203218).

The spelling of 100200201217 in words is "one hundred billion, two hundred million, two hundred one thousand, two hundred seventeen".