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114241020321313 is a prime number
BaseRepresentation
bin11001111110011011001111…
…011011110101111000100001
3112222111100001010111101202101
4121332123033123311320201
5104433211102200240223
61042545333351450401
733030432660456334
oct3176331733657041
9488440033441671
10114241020321313
1133445387794556
1210990812686a01
134b98b60972222
14202d41b24a61b
15d31a0eec14ad
hex67e6cf6f5e21

114241020321313 has 2 divisors, whose sum is σ = 114241020321314. Its totient is φ = 114241020321312.

The previous prime is 114241020321293. The next prime is 114241020321359. The reversal of 114241020321313 is 313123020142411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111785960660544 + 2455059660769 = 10572888^2 + 1566863^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241020321313 - 245 = 79056648232481 is a prime.

It is not a weakly prime, because it can be changed into another prime (114241020321383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120510160656 + 57120510160657.

It is an arithmetic number, because the mean of its divisors is an integer number (57120510160657).

Almost surely, 2114241020321313 is an apocalyptic number.

It is an amenable number.

114241020321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241020321313 is an equidigital number, since it uses as much as digits as its factorization.

114241020321313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 114241020321313 its reverse (313123020142411), we get a palindrome (427364040463724).

The spelling of 114241020321313 in words is "one hundred fourteen trillion, two hundred forty-one billion, twenty million, three hundred twenty-one thousand, three hundred thirteen".