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2114241313 is a prime number
BaseRepresentation
bin111111000000100…
…1100001100100001
312110100022120211211
41332001030030201
513312221210223
6545443310121
7103251516562
oct17601141441
95410276754
102114241313
11995485878
124b007b341
13279036082
14160b16169
15c592bd0d
hex7e04c321

2114241313 has 2 divisors, whose sum is σ = 2114241314. Its totient is φ = 2114241312.

The previous prime is 2114241307. The next prime is 2114241331. The reversal of 2114241313 is 3131424112.

Together with next prime (2114241331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1952137489 + 162103824 = 44183^2 + 12732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2114241313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2114241113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057120656 + 1057120657.

It is an arithmetic number, because the mean of its divisors is an integer number (1057120657).

Almost surely, 22114241313 is an apocalyptic number.

It is an amenable number.

2114241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114241313 is an equidigital number, since it uses as much as digits as its factorization.

2114241313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 2114241313 is about 45980.8798632649. The cubic root of 2114241313 is about 1283.4674281349.

Adding to 2114241313 its reverse (3131424112), we get a palindrome (5245665425).

The spelling of 2114241313 in words is "two billion, one hundred fourteen million, two hundred forty-one thousand, three hundred thirteen".