Search a number
-
+
3114303001141 is a prime number
BaseRepresentation
bin101101010100011010111…
…011001001001000110101
3102000201120010112100200211
4231110122323021020311
5402011043032014031
610342405133305421
7441000221510263
oct55243273111065
912021503470624
103114303001141
11aa084a944282
124236a5935271
131978a665a317
14aaa39785433
15560244b4bb1
hex2d51aec9235

3114303001141 has 2 divisors, whose sum is σ = 3114303001142. Its totient is φ = 3114303001140.

The previous prime is 3114303001129. The next prime is 3114303001181. The reversal of 3114303001141 is 1411003034113.

3114303001141 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., 2585840883025 + 528462118116 = 1608055^2 + 726954^2 .

It is a cyclic number.

It is not a de Polignac number, because 3114303001141 - 25 = 3114303001109 is a prime.

It is a super-3 number, since 3×31143030011413 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3114303001181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1557151500570 + 1557151500571.

It is an arithmetic number, because the mean of its divisors is an integer number (1557151500571).

Almost surely, 23114303001141 is an apocalyptic number.

It is an amenable number.

3114303001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3114303001141 is an equidigital number, since it uses as much as digits as its factorization.

3114303001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 3114303001141 its reverse (1411003034113), we get a palindrome (4525306035254).

The spelling of 3114303001141 in words is "three trillion, one hundred fourteen billion, three hundred three million, one thousand, one hundred forty-one".