Search a number
-
+
10133202041 is a prime number
BaseRepresentation
bin10010110111111110…
…00110010001111001
3222011012101222222022
421123333012101321
5131223044431131
64353301404225
7506052540044
oct113377062171
928135358868
1010133202041
11432aa23746
121b69709675
13c56487551
146c1b17c5b
153e492037b
hex25bfc6479

10133202041 has 2 divisors, whose sum is σ = 10133202042. Its totient is φ = 10133202040.

The previous prime is 10133201971. The next prime is 10133202043. The reversal of 10133202041 is 14020233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9951060025 + 182142016 = 99755^2 + 13496^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133202041 - 222 = 10129007737 is a prime.

Together with 10133202043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10133202043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066601020 + 5066601021.

It is an arithmetic number, because the mean of its divisors is an integer number (5066601021).

Almost surely, 210133202041 is an apocalyptic number.

It is an amenable number.

10133202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133202041 is an equidigital number, since it uses as much as digits as its factorization.

10133202041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10133202041 its reverse (14020233101), we get a palindrome (24153435142).

The spelling of 10133202041 in words is "ten billion, one hundred thirty-three million, two hundred two thousand, forty-one".