Search a number
-
+
221300137 is a prime number
BaseRepresentation
bin11010011000011…
…00010110101001
3120102102012201101
431030030112221
5423123101022
633543121401
75325006622
oct1514142651
9512365641
10221300137
11103a11083
1262143261
1336b04436
1421568a49
1514665627
hexd30c5a9

221300137 has 2 divisors, whose sum is σ = 221300138. Its totient is φ = 221300136.

The previous prime is 221300063. The next prime is 221300143. The reversal of 221300137 is 731003122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221295376 + 4761 = 14876^2 + 69^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221300137 is a prime.

It is not a weakly prime, because it can be changed into another prime (221301137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650068 + 110650069.

It is an arithmetic number, because the mean of its divisors is an integer number (110650069).

Almost surely, 2221300137 is an apocalyptic number.

It is an amenable number.

221300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300137 is an equidigital number, since it uses as much as digits as its factorization.

221300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 221300137 is about 14876.1600219949. The cubic root of 221300137 is about 604.8679328330.

Adding to 221300137 its reverse (731003122), we get a palindrome (952303259).

The spelling of 221300137 in words is "two hundred twenty-one million, three hundred thousand, one hundred thirty-seven".