Search a number
-
+
3105301301 is a prime number
BaseRepresentation
bin1011100100010111…
…0010001100110101
322000102011122120022
42321011302030311
522324424120201
61232045214525
7136644424364
oct27105621465
98012148508
103105301301
111353952913
12727b61445
133a6462cbb
142165b77db
1513294441b
hexb9172335

3105301301 has 2 divisors, whose sum is σ = 3105301302. Its totient is φ = 3105301300.

The previous prime is 3105301289. The next prime is 3105301313. The reversal of 3105301301 is 1031035013.

3105301301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3105301289) and next prime (3105301313).

It can be written as a sum of positive squares in only one way, i.e., 1597920676 + 1507380625 = 39974^2 + 38825^2 .

It is an emirp because it is prime and its reverse (1031035013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3105301301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3105301301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3105301351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1552650650 + 1552650651.

It is an arithmetic number, because the mean of its divisors is an integer number (1552650651).

Almost surely, 23105301301 is an apocalyptic number.

It is an amenable number.

3105301301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3105301301 is an equidigital number, since it uses as much as digits as its factorization.

3105301301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 3105301301 is about 55725.2303808607. The cubic root of 3105301301 is about 1458.9304265276.

Adding to 3105301301 its reverse (1031035013), we get a palindrome (4136336314).

The spelling of 3105301301 in words is "three billion, one hundred five million, three hundred one thousand, three hundred one".