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242461102241 is a prime number
BaseRepresentation
bin1110000111001111001…
…1101101000010100001
3212011211112100011120202
43201303303231002201
512433030020232431
6303215102514545
723342261236001
oct3416363550241
9764745304522
10242461102241
1193910a75836
123aba7895a55
1319b30231c47
14ba41496001
1564910518cb
hex3873ced0a1

242461102241 has 2 divisors, whose sum is σ = 242461102242. Its totient is φ = 242461102240.

The previous prime is 242461102201. The next prime is 242461102259. The reversal of 242461102241 is 142201164242.

It is a happy number.

242461102241 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., 173552227216 + 68908875025 = 416596^2 + 262505^2 .

It is a cyclic number.

It is not a de Polignac number, because 242461102241 - 210 = 242461101217 is a prime.

It is not a weakly prime, because it can be changed into another prime (242461102201) 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, 121230551120 + 121230551121.

It is an arithmetic number, because the mean of its divisors is an integer number (121230551121).

Almost surely, 2242461102241 is an apocalyptic number.

It is an amenable number.

242461102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

242461102241 is an equidigital number, since it uses as much as digits as its factorization.

242461102241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 242461102241 its reverse (142201164242), we get a palindrome (384662266483).

The spelling of 242461102241 in words is "two hundred forty-two billion, four hundred sixty-one million, one hundred two thousand, two hundred forty-one".