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201144131017 is a prime number
BaseRepresentation
bin1011101101010100011…
…1111101110111001001
3201020012002011120012021
42323111013331313021
511243420344143032
6232223200444441
720350352621644
oct2732507756711
9636162146167
10201144131017
1178339688825
1232b96919721
1315c77381a8b
149a4202aa5b
155373b26097
hex2ed51fddc9

201144131017 has 2 divisors, whose sum is σ = 201144131018. Its totient is φ = 201144131016.

The previous prime is 201144131011. The next prime is 201144131029. The reversal of 201144131017 is 710131441102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196688702016 + 4455429001 = 443496^2 + 66749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201144131017 is a prime.

It is a super-2 number, since 2×2011441310172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201144130982 and 201144131000.

It is not a weakly prime, because it can be changed into another prime (201144131011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100572065508 + 100572065509.

It is an arithmetic number, because the mean of its divisors is an integer number (100572065509).

Almost surely, 2201144131017 is an apocalyptic number.

It is an amenable number.

201144131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

201144131017 is an equidigital number, since it uses as much as digits as its factorization.

201144131017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 201144131017 its reverse (710131441102), we get a palindrome (911275572119).

The spelling of 201144131017 in words is "two hundred one billion, one hundred forty-four million, one hundred thirty-one thousand, seventeen".