Search a number
-
+
201000200221901 is a prime number
BaseRepresentation
bin101101101100111100000001…
…100010001011010011001101
3222100200102122112210210212102
4231230330001202023103031
5202321141402224100101
61551254114531244445
760223533224034053
oct5554740142132315
9870612575723772
10201000200221901
1159054784a62993
121a663228449725
138820311b8ba02
14378c6668aa1d3
1518387231a586b
hexb6cf0188b4cd

201000200221901 has 2 divisors, whose sum is σ = 201000200221902. Its totient is φ = 201000200221900.

The previous prime is 201000200221871. The next prime is 201000200221939. The reversal of 201000200221901 is 109122002000102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157415314668676 + 43584885553225 = 12546526^2 + 6601885^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000200221901 - 226 = 201000133113037 is a prime.

It is a super-3 number, since 3×2010002002219013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201000203221901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500100110950 + 100500100110951.

It is an arithmetic number, because the mean of its divisors is an integer number (100500100110951).

Almost surely, 2201000200221901 is an apocalyptic number.

It is an amenable number.

201000200221901 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000200221901 is an equidigital number, since it uses as much as digits as its factorization.

201000200221901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 201000200221901 in words is "two hundred one trillion, two hundred million, two hundred twenty-one thousand, nine hundred one".