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12200000011013 is a prime number
BaseRepresentation
bin1011000110001000100010…
…1010101011101100000101
31121012022022222101100101202
42301202020222223230011
53044341100000323023
641540334100232245
72366264242033433
oct261421052535405
947168288340352
1012200000011013
113983a99a53301
12145053739b685
136a65bba13a79
143026a9aa3d53
1516253b398128
hexb1888aabb05

12200000011013 has 2 divisors, whose sum is σ = 12200000011014. Its totient is φ = 12200000011012.

The previous prime is 12200000010997. The next prime is 12200000011021. The reversal of 12200000011013 is 31011000000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10668539310529 + 1531460700484 = 3266273^2 + 1237522^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200000011013 - 24 = 12200000010997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200000010985 and 12200000011003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200000017013) 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, 6100000005506 + 6100000005507.

It is an arithmetic number, because the mean of its divisors is an integer number (6100000005507).

Almost surely, 212200000011013 is an apocalyptic number.

It is an amenable number.

12200000011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200000011013 is an equidigital number, since it uses as much as digits as its factorization.

12200000011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12200000011013 its reverse (31011000000221), we get a palindrome (43211000011234).

The spelling of 12200000011013 in words is "twelve trillion, two hundred billion, eleven thousand, thirteen".