Search a number
-
+
2201202202261 is a prime number
BaseRepresentation
bin100000000010000001111…
…000000001011010010101
321210102200120021201221011
4200002001320001122111
5242031030230433021
64403115054252221
7315013562001646
oct40020170013225
97712616251834
102201202202261
11779585292377
122b67361b7071
1312c75996921a
14787784b56cd
153c3d1c74de1
hex20081e01695

2201202202261 has 2 divisors, whose sum is σ = 2201202202262. Its totient is φ = 2201202202260.

The previous prime is 2201202202189. The next prime is 2201202202267. The reversal of 2201202202261 is 1622022021022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2162223202500 + 38978999761 = 1470450^2 + 197431^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201202202261 - 29 = 2201202201749 is a prime.

It is a super-2 number, since 2×22012022022612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201202202267) 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, 1100601101130 + 1100601101131.

It is an arithmetic number, because the mean of its divisors is an integer number (1100601101131).

Almost surely, 22201202202261 is an apocalyptic number.

It is an amenable number.

2201202202261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201202202261 is an equidigital number, since it uses as much as digits as its factorization.

2201202202261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2201202202261 its reverse (1622022021022), we get a palindrome (3823224223283).

The spelling of 2201202202261 in words is "two trillion, two hundred one billion, two hundred two million, two hundred two thousand, two hundred sixty-one".