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122231011013 is a prime number
BaseRepresentation
bin111000111010110001…
…0010011011011000101
3102200111111012201020222
41301311202103123011
54000312114323023
6132052510434125
711554666310456
oct1616542233305
9380444181228
10122231011013
1147924245781
121b832b02945
13b6ac485c27
145cb777712d
1532a5c9acc8
hex1c758936c5

122231011013 has 2 divisors, whose sum is σ = 122231011014. Its totient is φ = 122231011012.

The previous prime is 122231010991. The next prime is 122231011027. The reversal of 122231011013 is 310110132221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75392528929 + 46838482084 = 274577^2 + 216422^2 .

It is a cyclic number.

It is not a de Polignac number, because 122231011013 - 28 = 122231010757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122231010982 and 122231011000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122231011073) 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, 61115505506 + 61115505507.

It is an arithmetic number, because the mean of its divisors is an integer number (61115505507).

Almost surely, 2122231011013 is an apocalyptic number.

It is an amenable number.

122231011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231011013 is an equidigital number, since it uses as much as digits as its factorization.

122231011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122231011013 its reverse (310110132221), we get a palindrome (432341143234).

The spelling of 122231011013 in words is "one hundred twenty-two billion, two hundred thirty-one million, eleven thousand, thirteen".