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10222146073 is a prime number
BaseRepresentation
bin10011000010100100…
…11001001000011001
3222101101202211020201
421201102121020121
5131413332133243
64410200022201
7511212544066
oct114122311031
928341684221
1010222146073
114376153707
121b93461961
13c6ba29959
146cd86bc6d
153ec63e04d
hex261499219

10222146073 has 2 divisors, whose sum is σ = 10222146074. Its totient is φ = 10222146072.

The previous prime is 10222146049. The next prime is 10222146089. The reversal of 10222146073 is 37064122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10086586624 + 135559449 = 100432^2 + 11643^2 .

It is an emirp because it is prime and its reverse (37064122201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10222146073 - 213 = 10222137881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222146173) 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, 5111073036 + 5111073037.

It is an arithmetic number, because the mean of its divisors is an integer number (5111073037).

Almost surely, 210222146073 is an apocalyptic number.

It is an amenable number.

10222146073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222146073 is an equidigital number, since it uses as much as digits as its factorization.

10222146073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 10222146073 its reverse (37064122201), we get a palindrome (47286268274).

The spelling of 10222146073 in words is "ten billion, two hundred twenty-two million, one hundred forty-six thousand, seventy-three".