Search a number
-
+
212255231917 is a prime number
BaseRepresentation
bin1100010110101101100…
…1011100111110101101
3202021212102122222012211
43011223121130332231
511434144314410132
6241301514130421
721222611463061
oct3055331347655
9667772588184
10212255231917
11820205aa343
1235177a20a11
13170283088b1
14a3b797baa1
1557c430e147
hex316b65cfad

212255231917 has 2 divisors, whose sum is σ = 212255231918. Its totient is φ = 212255231916.

The previous prime is 212255231891. The next prime is 212255232017. The reversal of 212255231917 is 719132552212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178676135401 + 33579096516 = 422701^2 + 183246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212255231917 is a prime.

It is a super-2 number, since 2×2122552319172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212255231917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212255231017) 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, 106127615958 + 106127615959.

It is an arithmetic number, because the mean of its divisors is an integer number (106127615959).

Almost surely, 2212255231917 is an apocalyptic number.

It is an amenable number.

212255231917 is a deficient number, since it is larger than the sum of its proper divisors (1).

212255231917 is an equidigital number, since it uses as much as digits as its factorization.

212255231917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 40.

The spelling of 212255231917 in words is "two hundred twelve billion, two hundred fifty-five million, two hundred thirty-one thousand, nine hundred seventeen".