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12200103221233 is a prime number
BaseRepresentation
bin1011000110001000111011…
…0100011001011111110001
31121012022121011120222012111
42301202032310121133301
53044341302411034413
641540352224325321
72366266634226034
oct261421664313761
947168534528174
1012200103221233
113984042237704
121450565a73841
136a660720c7c5
143026b968d01b
15162545483d3d
hexb188ed197f1

12200103221233 has 2 divisors, whose sum is σ = 12200103221234. Its totient is φ = 12200103221232.

The previous prime is 12200103221183. The next prime is 12200103221287. The reversal of 12200103221233 is 33212230100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11763720109584 + 436383111649 = 3429828^2 + 660593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200103221233 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200103227233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100051610616 + 6100051610617.

It is an arithmetic number, because the mean of its divisors is an integer number (6100051610617).

Almost surely, 212200103221233 is an apocalyptic number.

It is an amenable number.

12200103221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200103221233 is an equidigital number, since it uses as much as digits as its factorization.

12200103221233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12200103221233 its reverse (33212230100221), we get a palindrome (45412333321454).

The spelling of 12200103221233 in words is "twelve trillion, two hundred billion, one hundred three million, two hundred twenty-one thousand, two hundred thirty-three".