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434313133117 is a prime number
BaseRepresentation
bin1100101000111110001…
…01000111110000111101
31112112001000210010200221
412110133011013300331
524103433130224432
6531304245421341
743243453501663
oct6243705076075
91475030703627
10434313133117
11158211494156
127020a70a851
1331c564705c6
1417041392c33
15b46deecb97
hex651f147c3d

434313133117 has 2 divisors, whose sum is σ = 434313133118. Its totient is φ = 434313133116.

The previous prime is 434313133019. The next prime is 434313133141. The reversal of 434313133117 is 711331313434.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419723875321 + 14589257796 = 647861^2 + 120786^2 .

It is a cyclic number.

It is not a de Polignac number, because 434313133117 - 227 = 434178915389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (434313133147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217156566558 + 217156566559.

It is an arithmetic number, because the mean of its divisors is an integer number (217156566559).

Almost surely, 2434313133117 is an apocalyptic number.

It is an amenable number.

434313133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

434313133117 is an equidigital number, since it uses as much as digits as its factorization.

434313133117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 34.

The spelling of 434313133117 in words is "four hundred thirty-four billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred seventeen".