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12103434313121 is a prime number
BaseRepresentation
bin1011000000100000110011…
…1001110001110110100001
31120212002002010222121222102
42300020030321301312201
53041300313141004441
641424124014220145
72356305246116504
oct260101471616641
946762063877872
1012103434313121
113947046152208
1214358877b4655
1369a46c87a368
142dbb48bbd13b
1515ec888de69b
hexb020ce71da1

12103434313121 has 2 divisors, whose sum is σ = 12103434313122. Its totient is φ = 12103434313120.

The previous prime is 12103434313111. The next prime is 12103434313273. The reversal of 12103434313121 is 12131343430121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11819403940096 + 284030373025 = 3437936^2 + 532945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12103434313121 is a prime.

It is not a weakly prime, because it can be changed into another prime (12103434313111) 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, 6051717156560 + 6051717156561.

It is an arithmetic number, because the mean of its divisors is an integer number (6051717156561).

Almost surely, 212103434313121 is an apocalyptic number.

It is an amenable number.

12103434313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12103434313121 is an equidigital number, since it uses as much as digits as its factorization.

12103434313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 12103434313121 its reverse (12131343430121), we get a palindrome (24234777743242).

The spelling of 12103434313121 in words is "twelve trillion, one hundred three billion, four hundred thirty-four million, three hundred thirteen thousand, one hundred twenty-one".