Search a number
-
+
10133201161 is a prime number
BaseRepresentation
bin10010110111111110…
…00110000100001001
3222011012101221202201
421123333012010021
5131223044414121
64353301400201
7506052534346
oct113377060411
928135357681
1010133201161
11432aa23016
121b69709061
13c56487025
146c1b177cd
153e491ee91
hex25bfc6109

10133201161 has 2 divisors, whose sum is σ = 10133201162. Its totient is φ = 10133201160.

The previous prime is 10133201131. The next prime is 10133201179. The reversal of 10133201161 is 16110233101.

10133201161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8114406400 + 2018794761 = 90080^2 + 44931^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133201161 - 25 = 10133201129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133201131) 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, 5066600580 + 5066600581.

It is an arithmetic number, because the mean of its divisors is an integer number (5066600581).

Almost surely, 210133201161 is an apocalyptic number.

It is an amenable number.

10133201161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133201161 is an equidigital number, since it uses as much as digits as its factorization.

10133201161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10133201161 its reverse (16110233101), we get a palindrome (26243434262).

The spelling of 10133201161 in words is "ten billion, one hundred thirty-three million, two hundred one thousand, one hundred sixty-one".