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243117773552257 is a prime number
BaseRepresentation
bin110111010001110101000100…
…100001111111101010000001
31011212210211110122112200200221
4313101311010201333222001
5223331220200012133012
62221022432513143041
7102131452032326512
oct6721650441775201
91155724418480627
10243117773552257
117051273a11505a
1223325a2a55aa81
13a586ba520c0a6
144406d6a778a09
151d190b7cb2507
hexdd1d4487fa81

243117773552257 has 2 divisors, whose sum is σ = 243117773552258. Its totient is φ = 243117773552256.

The previous prime is 243117773552119. The next prime is 243117773552281. The reversal of 243117773552257 is 752255377711342.

It is a happy number.

243117773552257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140672788629136 + 102444984923121 = 11860556^2 + 10121511^2 .

It is a cyclic number.

It is not a de Polignac number, because 243117773552257 - 227 = 243117639334529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 243117773552195 and 243117773552204.

It is not a weakly prime, because it can be changed into another prime (243117773252257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121558886776128 + 121558886776129.

It is an arithmetic number, because the mean of its divisors is an integer number (121558886776129).

Almost surely, 2243117773552257 is an apocalyptic number.

It is an amenable number.

243117773552257 is a deficient number, since it is larger than the sum of its proper divisors (1).

243117773552257 is an equidigital number, since it uses as much as digits as its factorization.

243117773552257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 86436000, while the sum is 61.

The spelling of 243117773552257 in words is "two hundred forty-three trillion, one hundred seventeen billion, seven hundred seventy-three million, five hundred fifty-two thousand, two hundred fifty-seven".