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122306124713 is a prime number
BaseRepresentation
bin111000111101000000…
…0110101101110101001
3102200200201112212212212
41301322000311232221
54000440331442323
6132104152414505
711556600623033
oct1617200655651
9380621485785
10122306124713
1147962689813
121b8540a7435
13b6c1bc51c6
145cc372ac53
1532ac686b78
hex1c7a035ba9

122306124713 has 2 divisors, whose sum is σ = 122306124714. Its totient is φ = 122306124712.

The previous prime is 122306124697. The next prime is 122306124737. The reversal of 122306124713 is 317421603221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83202248704 + 39103876009 = 288448^2 + 197747^2 .

It is a cyclic number.

It is not a de Polignac number, because 122306124713 - 24 = 122306124697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122306124713.

It is not a weakly prime, because it can be changed into another prime (122306124313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61153062356 + 61153062357.

It is an arithmetic number, because the mean of its divisors is an integer number (61153062357).

Almost surely, 2122306124713 is an apocalyptic number.

It is an amenable number.

122306124713 is a deficient number, since it is larger than the sum of its proper divisors (1).

122306124713 is an equidigital number, since it uses as much as digits as its factorization.

122306124713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 122306124713 its reverse (317421603221), we get a palindrome (439727727934).

The spelling of 122306124713 in words is "one hundred twenty-two billion, three hundred six million, one hundred twenty-four thousand, seven hundred thirteen".