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201200120257 is a prime number
BaseRepresentation
bin1011101101100001110…
…1100011000111000001
3201020022222112002222211
42323120131203013001
511244024212322012
6232232520502121
720351632542613
oct2733035430701
9636288462884
10201200120257
117836824a324
1232bb161a941
1315c85b562c6
149a49642db3
1553789d56a7
hex2ed87631c1

201200120257 has 2 divisors, whose sum is σ = 201200120258. Its totient is φ = 201200120256.

The previous prime is 201200120227. The next prime is 201200120273. The reversal of 201200120257 is 752021002102.

201200120257 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., 195151014081 + 6049106176 = 441759^2 + 77776^2 .

It is a cyclic number.

It is not a de Polignac number, because 201200120257 - 215 = 201200087489 is a prime.

It is not a weakly prime, because it can be changed into another prime (201200120227) 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, 100600060128 + 100600060129.

It is an arithmetic number, because the mean of its divisors is an integer number (100600060129).

Almost surely, 2201200120257 is an apocalyptic number.

It is an amenable number.

201200120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201200120257 is an equidigital number, since it uses as much as digits as its factorization.

201200120257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 201200120257 its reverse (752021002102), we get a palindrome (953221122359).

The spelling of 201200120257 in words is "two hundred one billion, two hundred million, one hundred twenty thousand, two hundred fifty-seven".