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1314430314101 is a prime number
BaseRepresentation
bin10011001000001010001…
…001101110011001110101
311122122202220112100202222
4103020022021232121311
5133013423130022401
62443501351212125
7163651544216102
oct23101211563165
94578686470688
101314430314101
114674a0710813
121928b4077045
1396c478cc838
1447893c77aa9
15242d0c08c1b
hex1320a26e675

1314430314101 has 2 divisors, whose sum is σ = 1314430314102. Its totient is φ = 1314430314100.

The previous prime is 1314430314059. The next prime is 1314430314121. The reversal of 1314430314101 is 1014130344131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1081984834225 + 232445479876 = 1040185^2 + 482126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314430314101 - 230 = 1313356572277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1314430314121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657215157050 + 657215157051.

It is an arithmetic number, because the mean of its divisors is an integer number (657215157051).

Almost surely, 21314430314101 is an apocalyptic number.

It is an amenable number.

1314430314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314430314101 is an equidigital number, since it uses as much as digits as its factorization.

1314430314101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1314430314101 its reverse (1014130344131), we get a palindrome (2328560658232).

The spelling of 1314430314101 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, three hundred fourteen thousand, one hundred one".