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100222000301 is a prime number
BaseRepresentation
bin101110101010110110…
…0100101110010101101
3100120200122101010102002
41131111230211302231
53120223313002201
6114012533142045
710145410642463
oct1352554456255
9316618333362
10100222000301
113955a785225
121751018a925
1395b27ca777
144bca72c833
15291898c76b
hex1755b25cad

100222000301 has 2 divisors, whose sum is σ = 100222000302. Its totient is φ = 100222000300.

The previous prime is 100222000273. The next prime is 100222000309. The reversal of 100222000301 is 103000222001.

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., 54336076201 + 45885924100 = 233101^2 + 214210^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222000301 - 210 = 100221999277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222000309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111000150 + 50111000151.

It is an arithmetic number, because the mean of its divisors is an integer number (50111000151).

Almost surely, 2100222000301 is an apocalyptic number.

It is an amenable number.

100222000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222000301 is an equidigital number, since it uses as much as digits as its factorization.

100222000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100222000301 its reverse (103000222001), we get a palindrome (203222222302).

The spelling of 100222000301 in words is "one hundred billion, two hundred twenty-two million, three hundred one", and thus it is an aban number.