Search a number
-
+
2835055510241 is a prime number
BaseRepresentation
bin101001010000010110011…
…110100000001011100001
3101001000202220010000121212
4221100112132200023201
5332422143202311431
610010223450355505
7411553214140613
oct51202636401341
911030686100555
102835055510241
119a3381a20249
1239955242bb95
1317746309bbc6
149b308850db3
154db2db6772b
hex294167a02e1

2835055510241 has 2 divisors, whose sum is σ = 2835055510242. Its totient is φ = 2835055510240.

The previous prime is 2835055510169. The next prime is 2835055510351. The reversal of 2835055510241 is 1420155505382.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1476674584225 + 1358380926016 = 1215185^2 + 1165496^2 .

It is a cyclic number.

It is not a de Polignac number, because 2835055510241 - 210 = 2835055509217 is a prime.

It is a super-2 number, since 2×28350555102412 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2835055518241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1417527755120 + 1417527755121.

It is an arithmetic number, because the mean of its divisors is an integer number (1417527755121).

Almost surely, 22835055510241 is an apocalyptic number.

It is an amenable number.

2835055510241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2835055510241 is an equidigital number, since it uses as much as digits as its factorization.

2835055510241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 2835055510241 in words is "two trillion, eight hundred thirty-five billion, fifty-five million, five hundred ten thousand, two hundred forty-one".