Search a number
-
+
2313313322417 is a prime number
BaseRepresentation
bin100001101010011100001…
…110000000010110110001
322012011001210010201201122
4201222130032000112301
5300400131202304132
64530415500512025
7326063026542446
oct41523416002661
98164053121648
102313313322417
11812086076289
12314403b4b615
1313a1b5648646
147dd71bdb9cd
154029437e912
hex21a9c3805b1

2313313322417 has 2 divisors, whose sum is σ = 2313313322418. Its totient is φ = 2313313322416.

The previous prime is 2313313322357. The next prime is 2313313322491. The reversal of 2313313322417 is 7142233133132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2303583275536 + 9730046881 = 1517756^2 + 98641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313322417 - 210 = 2313313321393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313313322017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156656661208 + 1156656661209.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656661209).

Almost surely, 22313313322417 is an apocalyptic number.

It is an amenable number.

2313313322417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313322417 is an equidigital number, since it uses as much as digits as its factorization.

2313313322417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 35.

Adding to 2313313322417 its reverse (7142233133132), we get a palindrome (9455546455549).

The spelling of 2313313322417 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, three hundred twenty-two thousand, four hundred seventeen".