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12210021300013 is a prime number
BaseRepresentation
bin1011000110101101110111…
…1110110111011100101101
31121020021012101012120112121
42301223131332313130231
53100022110423100023
641545112323232541
72400100465423435
oct261533576673455
947207171176477
1012210021300013
113988271789029
121452473518751
136a7527c46284
14302d7a9a92c5
1516292605dd5d
hexb1addfb772d

12210021300013 has 2 divisors, whose sum is σ = 12210021300014. Its totient is φ = 12210021300012.

The previous prime is 12210021299953. The next prime is 12210021300097. The reversal of 12210021300013 is 31000312001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6702729415369 + 5507291884644 = 2588963^2 + 2346762^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210021300013 - 213 = 12210021291821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12210021300013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210021300713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105010650006 + 6105010650007.

It is an arithmetic number, because the mean of its divisors is an integer number (6105010650007).

Almost surely, 212210021300013 is an apocalyptic number.

It is an amenable number.

12210021300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210021300013 is an equidigital number, since it uses as much as digits as its factorization.

12210021300013 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 16.

Adding to 12210021300013 its reverse (31000312001221), we get a palindrome (43210333301234).

The spelling of 12210021300013 in words is "twelve trillion, two hundred ten billion, twenty-one million, three hundred thousand, thirteen".