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22123120417 is a prime number
BaseRepresentation
bin10100100110101001…
…000000011100100001
32010002210112221221021
4110212221000130201
5330302004323132
614055131125441
71412142264226
oct244651003441
963083487837
1022123120417
119422a198a2
124354ba3881
1321174cc2c8
1410dc26d94d
1589734d997
hex526a40721

22123120417 has 2 divisors, whose sum is σ = 22123120418. Its totient is φ = 22123120416.

The previous prime is 22123120403. The next prime is 22123120427. The reversal of 22123120417 is 71402132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17351212176 + 4771908241 = 131724^2 + 69079^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123120417 - 219 = 22122596129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22123120391 and 22123120400.

It is not a weakly prime, because it can be changed into another prime (22123120427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061560208 + 11061560209.

It is an arithmetic number, because the mean of its divisors is an integer number (11061560209).

Almost surely, 222123120417 is an apocalyptic number.

It is an amenable number.

22123120417 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123120417 is an equidigital number, since it uses as much as digits as its factorization.

22123120417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 22123120417 its reverse (71402132122), we get a palindrome (93525252539).

The spelling of 22123120417 in words is "twenty-two billion, one hundred twenty-three million, one hundred twenty thousand, four hundred seventeen".