Search a number
-
+
120210120013 is a prime number
BaseRepresentation
bin110111111110100010…
…1001101110101001101
3102111021122112210222011
41233331011031311031
53432142242320023
6131120200021221
711453630106124
oct1577505156515
9374248483864
10120210120013
1146a8752a425
121b36a161811
13b4498a5a39
145b65200abb
1531d865d50d
hex1bfd14dd4d

120210120013 has 2 divisors, whose sum is σ = 120210120014. Its totient is φ = 120210120012.

The previous prime is 120210120007. The next prime is 120210120071. The reversal of 120210120013 is 310021012021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110487765609 + 9722354404 = 332397^2 + 98602^2 .

It is a cyclic number.

It is not a de Polignac number, because 120210120013 - 29 = 120210119501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120210119975 and 120210120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120210120413) 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, 60105060006 + 60105060007.

It is an arithmetic number, because the mean of its divisors is an integer number (60105060007).

Almost surely, 2120210120013 is an apocalyptic number.

It is an amenable number.

120210120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

120210120013 is an equidigital number, since it uses as much as digits as its factorization.

120210120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120210120013 its reverse (310021012021), we get a palindrome (430231132034).

The spelling of 120210120013 in words is "one hundred twenty billion, two hundred ten million, one hundred twenty thousand, thirteen".