Search a number
-
+
201021002137 is a prime number
BaseRepresentation
bin1011101100110111001…
…0010001000110011001
3201012212111110222010101
42323031302101012121
511243142334032022
6232203041415401
720344326216424
oct2731562210631
9635774428111
10201021002137
117828612a21a
1232b6163a561
1315c57a00957
149a2d9389bb
155367e03627
hex2ecdc91199

201021002137 has 2 divisors, whose sum is σ = 201021002138. Its totient is φ = 201021002136.

The previous prime is 201021002131. The next prime is 201021002173. The reversal of 201021002137 is 731200120102.

201021002137 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 (201021002173) 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., 194843670921 + 6177331216 = 441411^2 + 78596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201021002137 is a prime.

It is not a weakly prime, because it can be changed into another prime (201021002131) 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, 100510501068 + 100510501069.

It is an arithmetic number, because the mean of its divisors is an integer number (100510501069).

Almost surely, 2201021002137 is an apocalyptic number.

It is an amenable number.

201021002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201021002137 is an equidigital number, since it uses as much as digits as its factorization.

201021002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 201021002137 its reverse (731200120102), we get a palindrome (932221122239).

The spelling of 201021002137 in words is "two hundred one billion, twenty-one million, two thousand, one hundred thirty-seven".