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122205289 is a prime number
BaseRepresentation
bin1110100100010…
…11010001101001
322111221200010211
413102023101221
5222241032124
620043141121
73012504433
oct722132151
9274850124
10122205289
1162a88708
1234b147a1
131c41992b
1412331653
15aadde94
hex748b469

122205289 has 2 divisors, whose sum is σ = 122205290. Its totient is φ = 122205288.

The previous prime is 122205287. The next prime is 122205313. The reversal of 122205289 is 982502221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 54834025 = 8208^2 + 7405^2 .

It is an emirp because it is prime and its reverse (982502221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122205289 - 21 = 122205287 is a prime.

Together with 122205287, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122205289.

It is not a weakly prime, because it can be changed into another prime (122205287) 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, 61102644 + 61102645.

It is an arithmetic number, because the mean of its divisors is an integer number (61102645).

Almost surely, 2122205289 is an apocalyptic number.

It is an amenable number.

122205289 is a deficient number, since it is larger than the sum of its proper divisors (1).

122205289 is an equidigital number, since it uses as much as digits as its factorization.

122205289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 122205289 is about 11054.6501075339. The cubic root of 122205289 is about 496.2455981607.

The spelling of 122205289 in words is "one hundred twenty-two million, two hundred five thousand, two hundred eighty-nine".