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241535142001 is a prime number
BaseRepresentation
bin1110000011110010011…
…1011100100001110001
3212002102222222111221001
43200330213130201301
512424130444021001
6302543144202001
723310315555316
oct3407447344161
9762388874831
10241535142001
119348632213a
123a989769301
1319a1344928a
14b9944dcd0d
156439ae8001
hex383c9dc871

241535142001 has 2 divisors, whose sum is σ = 241535142002. Its totient is φ = 241535142000.

The previous prime is 241535141957. The next prime is 241535142011. The reversal of 241535142001 is 100241535142.

241535142001 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., 229479321600 + 12055820401 = 479040^2 + 109799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241535142001 is a prime.

It is not a weakly prime, because it can be changed into another prime (241535142011) 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, 120767571000 + 120767571001.

It is an arithmetic number, because the mean of its divisors is an integer number (120767571001).

Almost surely, 2241535142001 is an apocalyptic number.

It is an amenable number.

241535142001 is a deficient number, since it is larger than the sum of its proper divisors (1).

241535142001 is an equidigital number, since it uses as much as digits as its factorization.

241535142001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 241535142001 its reverse (100241535142), we get a palindrome (341776677143).

The spelling of 241535142001 in words is "two hundred forty-one billion, five hundred thirty-five million, one hundred forty-two thousand, one".