Search a number
-
+
3030331313101 is a prime number
BaseRepresentation
bin101100000110001101110…
…100100100101111001101
3101201200210222222121221211
4230012031310210233031
5344122104304004401
610240040500454421
7431635302110251
oct54061564445715
911650728877854
103030331313101
11a6917a031194
1240b36b9aa411
1318c9b3737651
14a6951346261
1553c5c4b4951
hex2c18dd24bcd

3030331313101 has 2 divisors, whose sum is σ = 3030331313102. Its totient is φ = 3030331313100.

The previous prime is 3030331313081. The next prime is 3030331313111. The reversal of 3030331313101 is 1013131330303.

3030331313101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2908355052100 + 121976261001 = 1705390^2 + 349251^2 .

It is a cyclic number.

It is not a de Polignac number, because 3030331313101 - 25 = 3030331313069 is a prime.

It is a super-4 number, since 4×30303313131014 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3030331313111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1515165656550 + 1515165656551.

It is an arithmetic number, because the mean of its divisors is an integer number (1515165656551).

Almost surely, 23030331313101 is an apocalyptic number.

It is an amenable number.

3030331313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3030331313101 is an equidigital number, since it uses as much as digits as its factorization.

3030331313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 3030331313101 its reverse (1013131330303), we get a palindrome (4043462643404).

The spelling of 3030331313101 in words is "three trillion, thirty billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred one".