Search a number
-
+
200202011022001 is a prime number
BaseRepresentation
bin101101100001010100101001…
…110000000001001010110001
3222020212010101101000020122011
4231201110221300001022301
5202220102204310201001
61545443311214442521
760112055315550442
oct5541245160011261
9866763341006564
10200202011022001
1158877217a6a0aa
121a5545a8503441
138792c791141b1
143761b86c2d2c9
151822aa8d51d51
hexb61529c012b1

200202011022001 has 2 divisors, whose sum is σ = 200202011022002. Its totient is φ = 200202011022000.

The previous prime is 200202011021993. The next prime is 200202011022007. The reversal of 200202011022001 is 100220110202002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139452457382001 + 60749553640000 = 11808999^2 + 7794200^2 .

It is a cyclic number.

It is not a de Polignac number, because 200202011022001 - 23 = 200202011021993 is a prime.

It is not a weakly prime, because it can be changed into another prime (200202011022007) 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, 100101005511000 + 100101005511001.

It is an arithmetic number, because the mean of its divisors is an integer number (100101005511001).

Almost surely, 2200202011022001 is an apocalyptic number.

It is an amenable number.

200202011022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202011022001 is an equidigital number, since it uses as much as digits as its factorization.

200202011022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200202011022001 its reverse (100220110202002), we get a palindrome (300422121224003).

The spelling of 200202011022001 in words is "two hundred trillion, two hundred two billion, eleven million, twenty-two thousand, one".