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12221010013 is a prime number
BaseRepresentation
bin10110110000110110…
…11101000001011101
31011112200222122002111
423120123131001131
5200012034310023
65340402354021
7611563604542
oct133033350135
934480878074
1012221010013
115201494783
12245095b911
1311c9b96b94
1483d10cbc9
154b7d7a00d
hex2d86dd05d

12221010013 has 2 divisors, whose sum is σ = 12221010014. Its totient is φ = 12221010012.

The previous prime is 12221009981. The next prime is 12221010019. The reversal of 12221010013 is 31001012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11173969849 + 1047040164 = 105707^2 + 32358^2 .

It is an emirp because it is prime and its reverse (31001012221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12221010013 - 25 = 12221009981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221009975 and 12221010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110505006 + 6110505007.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505007).

Almost surely, 212221010013 is an apocalyptic number.

It is an amenable number.

12221010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221010013 is an equidigital number, since it uses as much as digits as its factorization.

12221010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12221010013 its reverse (31001012221), we get a palindrome (43222022234).

The spelling of 12221010013 in words is "twelve billion, two hundred twenty-one million, ten thousand, thirteen".