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122411304017 is a prime number
BaseRepresentation
bin111001000000001001…
…0000100010001010001
3102200222001110112202122
41302000102010101101
54001144243212032
6132122431024025
711562315626162
oct1620022042121
9380861415678
10122411304017
1147a06a98562
121b88336b015
13b70a930292
145cd36a9769
1532b6a11012
hex1c80484451

122411304017 has 2 divisors, whose sum is σ = 122411304018. Its totient is φ = 122411304016.

The previous prime is 122411304013. The next prime is 122411304061. The reversal of 122411304017 is 710403114221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84760170496 + 37651133521 = 291136^2 + 194039^2 .

It is a cyclic number.

It is not a de Polignac number, because 122411304017 - 22 = 122411304013 is a prime.

It is a super-2 number, since 2×1224113040172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122411304013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61205652008 + 61205652009.

It is an arithmetic number, because the mean of its divisors is an integer number (61205652009).

Almost surely, 2122411304017 is an apocalyptic number.

It is an amenable number.

122411304017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122411304017 is an equidigital number, since it uses as much as digits as its factorization.

122411304017 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 26.

Adding to 122411304017 its reverse (710403114221), we get a palindrome (832814418238).

The spelling of 122411304017 in words is "one hundred twenty-two billion, four hundred eleven million, three hundred four thousand, seventeen".