Search a number
-
+
3002311132013 is a prime number
BaseRepresentation
bin101011101100000111101…
…100000100001101101101
3101122000111020001221120002
4223230013230010031231
5343142213122211023
610215124231034045
7426624032361224
oct53540754041555
911560436057502
103002311132013
11a58300400436
12405a4bb0b925
1318a1695a1c3b
14a5453c21cbb
155316c5b3b28
hex2bb07b0436d

3002311132013 has 2 divisors, whose sum is σ = 3002311132014. Its totient is φ = 3002311132012.

The previous prime is 3002311131977. The next prime is 3002311132061. The reversal of 3002311132013 is 3102311132003.

3002311132013 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., 2900627953129 + 101683178884 = 1703123^2 + 318878^2 .

It is an emirp because it is prime and its reverse (3102311132003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3002311132013 - 212 = 3002311127917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3002311131013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501155566006 + 1501155566007.

It is an arithmetic number, because the mean of its divisors is an integer number (1501155566007).

Almost surely, 23002311132013 is an apocalyptic number.

It is an amenable number.

3002311132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002311132013 is an equidigital number, since it uses as much as digits as its factorization.

3002311132013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 3002311132013 its reverse (3102311132003), we get a palindrome (6104622264016).

The spelling of 3002311132013 in words is "three trillion, two billion, three hundred eleven million, one hundred thirty-two thousand, thirteen".