Search a number
-
+
216516603313 is a prime number
BaseRepresentation
bin1100100110100101100…
…1010010110110110001
3202200212102012001211001
43021221121102312301
512021411222301223
6243244422122001
721433324522303
oct3115131226661
9680772161731
10216516603313
1183907a8378a
1235b66b80301
131755712182a
14a69d8cb973
1559734b29ad
hex3269652db1

216516603313 has 2 divisors, whose sum is σ = 216516603314. Its totient is φ = 216516603312.

The previous prime is 216516603271. The next prime is 216516603323. The reversal of 216516603313 is 313306615612.

It is a happy number.

216516603313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108733743504 + 107782859809 = 329748^2 + 328303^2 .

It is a cyclic number.

It is not a de Polignac number, because 216516603313 - 229 = 215979732401 is a prime.

It is not a weakly prime, because it can be changed into another prime (216516603323) 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, 108258301656 + 108258301657.

It is an arithmetic number, because the mean of its divisors is an integer number (108258301657).

Almost surely, 2216516603313 is an apocalyptic number.

It is an amenable number.

216516603313 is a deficient number, since it is larger than the sum of its proper divisors (1).

216516603313 is an equidigital number, since it uses as much as digits as its factorization.

216516603313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 216516603313 in words is "two hundred sixteen billion, five hundred sixteen million, six hundred three thousand, three hundred thirteen".