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101222322017 is a prime number
BaseRepresentation
bin101111001000101010…
…0100000111101100001
3100200021100122201211112
41132101110200331201
53124300403301032
6114300105353105
710212245353355
oct1362124407541
9320240581745
10101222322017
1139a233a8793
121774b198795
139711b1b1cb
144c83521465
1529766d41b2
hex1791520f61

101222322017 has 2 divisors, whose sum is σ = 101222322018. Its totient is φ = 101222322016.

The previous prime is 101222321957. The next prime is 101222322031. The reversal of 101222322017 is 710223222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96422049361 + 4800272656 = 310519^2 + 69284^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222322017 - 216 = 101222256481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222321983 and 101222322001.

It is not a weakly prime, because it can be changed into another prime (101222322037) 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, 50611161008 + 50611161009.

It is an arithmetic number, because the mean of its divisors is an integer number (50611161009).

Almost surely, 2101222322017 is an apocalyptic number.

It is an amenable number.

101222322017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222322017 is an equidigital number, since it uses as much as digits as its factorization.

101222322017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 101222322017 its reverse (710223222101), we get a palindrome (811445544118).

The spelling of 101222322017 in words is "one hundred one billion, two hundred twenty-two million, three hundred twenty-two thousand, seventeen".