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241005134513317 is a prime number
BaseRepresentation
bin110110110011000101100001…
…011011101000010010100101
31011121022212101012110210111211
4312303011201123220102211
5223042112003413411232
62212324121430431421
7101523021621644056
oct6663054133502245
91147285335423454
10241005134513317
116a878781495149
12230444abb02571
13a4628c07b9925
1443729d442072d
151cce16b199a47
hexdb31616e84a5

241005134513317 has 2 divisors, whose sum is σ = 241005134513318. Its totient is φ = 241005134513316.

The previous prime is 241005134513309. The next prime is 241005134513369. The reversal of 241005134513317 is 713315431500142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130155948605281 + 110849185908036 = 11408591^2 + 10528494^2 .

It is a cyclic number.

It is not a de Polignac number, because 241005134513317 - 23 = 241005134513309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 241005134513317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241005134513617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120502567256658 + 120502567256659.

It is an arithmetic number, because the mean of its divisors is an integer number (120502567256659).

Almost surely, 2241005134513317 is an apocalyptic number.

It is an amenable number.

241005134513317 is a deficient number, since it is larger than the sum of its proper divisors (1).

241005134513317 is an equidigital number, since it uses as much as digits as its factorization.

241005134513317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 241005134513317 in words is "two hundred forty-one trillion, five billion, one hundred thirty-four million, five hundred thirteen thousand, three hundred seventeen".