Search a number
-
+
213230223123013 is a prime number
BaseRepresentation
bin110000011110111010000111…
…101101000110001001000101
31000221222121110212112222221201
4300132322013231012021011
5210422030444104414023
62033300340122342501
762625242464333405
oct6036720755061105
91027877425488851
10213230223123013
1161a3a480063958
121bab954235aa31
1391c96a69205b5
143a9257da56805
15199b91a199bad
hexc1ee87b46245

213230223123013 has 2 divisors, whose sum is σ = 213230223123014. Its totient is φ = 213230223123012.

The previous prime is 213230223122999. The next prime is 213230223123041. The reversal of 213230223123013 is 310321322032312.

It is a happy number.

It is an a-pointer prime, because the next prime (213230223123041) can be obtained adding 213230223123013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212911492871169 + 318730251844 = 14591487^2 + 564562^2 .

It is a cyclic number.

It is not a de Polignac number, because 213230223123013 - 217 = 213230222991941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213230223123053) 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, 106615111561506 + 106615111561507.

It is an arithmetic number, because the mean of its divisors is an integer number (106615111561507).

Almost surely, 2213230223123013 is an apocalyptic number.

It is an amenable number.

213230223123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213230223123013 is an equidigital number, since it uses as much as digits as its factorization.

213230223123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 213230223123013 its reverse (310321322032312), we get a palindrome (523551545155325).

The spelling of 213230223123013 in words is "two hundred thirteen trillion, two hundred thirty billion, two hundred twenty-three million, one hundred twenty-three thousand, thirteen".