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102223313417 is a prime number
BaseRepresentation
bin101111100110011111…
…0111111101000001001
3100202212010012100220002
41133030332333220021
53133323132012132
6114543304212345
710246121553551
oct1371476775011
9322763170802
10102223313417
113a397439405
121798a46a0b5
139841314704
144d3a44a161
1529d450e262
hex17ccfbfa09

102223313417 has 2 divisors, whose sum is σ = 102223313418. Its totient is φ = 102223313416.

The previous prime is 102223313407. The next prime is 102223313431. The reversal of 102223313417 is 714313322201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92219112976 + 10004200441 = 303676^2 + 100021^2 .

It is a cyclic number.

It is not a de Polignac number, because 102223313417 - 216 = 102223247881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102223313417.

It is not a weakly prime, because it can be changed into another prime (102223313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111656708 + 51111656709.

It is an arithmetic number, because the mean of its divisors is an integer number (51111656709).

Almost surely, 2102223313417 is an apocalyptic number.

It is an amenable number.

102223313417 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223313417 is an equidigital number, since it uses as much as digits as its factorization.

102223313417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 102223313417 its reverse (714313322201), we get a palindrome (816536635618).

The spelling of 102223313417 in words is "one hundred two billion, two hundred twenty-three million, three hundred thirteen thousand, four hundred seventeen".