Search a number
-
+
103210000013 is a prime number
BaseRepresentation
bin110000000011111001…
…0111001111010001101
3100212101212211020110002
41200013302321322031
53142333230000023
6115225232254045
710312432345061
oct1400762717215
9325355736402
10103210000013
113a85339967a
12180049a1325
13996a86cb33
144dd14cdaa1
152a40e60b28
hex1807cb9e8d

103210000013 has 2 divisors, whose sum is σ = 103210000014. Its totient is φ = 103210000012.

The previous prime is 103210000001. The next prime is 103210000027. The reversal of 103210000013 is 310000012301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59771937289 + 43438062724 = 244483^2 + 208418^2 .

It is a cyclic number.

It is not a de Polignac number, because 103210000013 - 28 = 103209999757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103209999949 and 103210000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103210000213) 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, 51605000006 + 51605000007.

It is an arithmetic number, because the mean of its divisors is an integer number (51605000007).

Almost surely, 2103210000013 is an apocalyptic number.

It is an amenable number.

103210000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103210000013 is an equidigital number, since it uses as much as digits as its factorization.

103210000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103210000013 its reverse (310000012301), we get a palindrome (413210012314).

The spelling of 103210000013 in words is "one hundred three billion, two hundred ten million, thirteen", and thus it is an aban number.