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242005515113 is a prime number
BaseRepresentation
bin1110000101100010100…
…1110001101101101001
3212010122210001221112102
43201120221301231221
512431111402440423
6303101550023145
723325056636435
oct3413051615551
9763583057472
10242005515113
11936a789344a
123aa9b1a7ab5
1319a89a2a16b
14b9dab819c5
15646605cc28
hex3858a71b69

242005515113 has 2 divisors, whose sum is σ = 242005515114. Its totient is φ = 242005515112.

The previous prime is 242005515097. The next prime is 242005515121. The reversal of 242005515113 is 311515500242.

242005515113 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., 241894781584 + 110733529 = 491828^2 + 10523^2 .

It is a cyclic number.

It is not a de Polignac number, because 242005515113 - 24 = 242005515097 is a prime.

It is not a weakly prime, because it can be changed into another prime (242005511113) 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, 121002757556 + 121002757557.

It is an arithmetic number, because the mean of its divisors is an integer number (121002757557).

Almost surely, 2242005515113 is an apocalyptic number.

It is an amenable number.

242005515113 is a deficient number, since it is larger than the sum of its proper divisors (1).

242005515113 is an equidigital number, since it uses as much as digits as its factorization.

242005515113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 242005515113 in words is "two hundred forty-two billion, five million, five hundred fifteen thousand, one hundred thirteen".