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241241244201137 is a prime number
BaseRepresentation
bin110110110110100001011010…
…101010100111000010110001
31011122011102211002111200110102
4312312201122222213002301
5223104444032003414022
62213024410404442145
7101546050631116625
oct6666413252470261
91148142732450412
10241241244201137
116a959923229254
12230822046a9355
13a47bc4abc2b8b
1443801d214d185
151cd53897eaa92
hexdb685aaa70b1

241241244201137 has 2 divisors, whose sum is σ = 241241244201138. Its totient is φ = 241241244201136.

The previous prime is 241241244201131. The next prime is 241241244201173. The reversal of 241241244201137 is 731102442142142.

241241244201137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (241241244201173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240849169107856 + 392075093281 = 15519316^2 + 626159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241241244201137 is a prime.

It is a super-3 number, since 3×2412412442011373 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241241244201137.

It is not a weakly prime, because it can be changed into another prime (241241244201131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120620622100568 + 120620622100569.

It is an arithmetic number, because the mean of its divisors is an integer number (120620622100569).

Almost surely, 2241241244201137 is an apocalyptic number.

It is an amenable number.

241241244201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

241241244201137 is an equidigital number, since it uses as much as digits as its factorization.

241241244201137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86016, while the sum is 38.

Adding to 241241244201137 its reverse (731102442142142), we get a palindrome (972343686343279).

The spelling of 241241244201137 in words is "two hundred forty-one trillion, two hundred forty-one billion, two hundred forty-four million, two hundred one thousand, one hundred thirty-seven".