Search a number
-
+
12120300103313 is a prime number
BaseRepresentation
bin1011000001011111101000…
…1011101010011010010001
31120220200121112221112122102
42300113322023222122101
53042034333311301223
641435553342450145
72360443223014463
oct260277213523221
946820545845572
1012120300103313
113953210483a96
121438bb3b93955
1369bc29b0ca7c
142dc8a8b24133
15160424405928
hexb05fa2ea691

12120300103313 has 2 divisors, whose sum is σ = 12120300103314. Its totient is φ = 12120300103312.

The previous prime is 12120300103273. The next prime is 12120300103367. The reversal of 12120300103313 is 31330100302121.

12120300103313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9774326937664 + 2345973165649 = 3126392^2 + 1531657^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120300103313 - 212 = 12120300099217 is a prime.

It is not a weakly prime, because it can be changed into another prime (12120306103313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060150051656 + 6060150051657.

It is an arithmetic number, because the mean of its divisors is an integer number (6060150051657).

Almost surely, 212120300103313 is an apocalyptic number.

It is an amenable number.

12120300103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120300103313 is an equidigital number, since it uses as much as digits as its factorization.

12120300103313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12120300103313 its reverse (31330100302121), we get a palindrome (43450400405434).

The spelling of 12120300103313 in words is "twelve trillion, one hundred twenty billion, three hundred million, one hundred three thousand, three hundred thirteen".