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102222110329 is a prime number
BaseRepresentation
bin101111100110011101…
…0011001111001111001
3100202212000221020120021
41133030322121321321
53133322330012304
6114543222330441
710246105413163
oct1371472317171
9322760836507
10102222110329
113a396797519
1217989b89a21
139840cb2c21
144d3a215933
1529d4372a54
hex17cce99e79

102222110329 has 2 divisors, whose sum is σ = 102222110330. Its totient is φ = 102222110328.

The previous prime is 102222110281. The next prime is 102222110357. The reversal of 102222110329 is 923011222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88462820329 + 13759290000 = 297427^2 + 117300^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222110329 - 223 = 102213721721 is a prime.

It is a super-3 number, since 3×1022221103293 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102222110359) 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, 51111055164 + 51111055165.

It is an arithmetic number, because the mean of its divisors is an integer number (51111055165).

Almost surely, 2102222110329 is an apocalyptic number.

It is an amenable number.

102222110329 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222110329 is an equidigital number, since it uses as much as digits as its factorization.

102222110329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 102222110329 in words is "one hundred two billion, two hundred twenty-two million, one hundred ten thousand, three hundred twenty-nine".