Search a number
-
+
110102121133 is a prime number
BaseRepresentation
bin110011010001010011…
…0010000101010101101
3101112012012120021020021
41212202212100222231
53300442120334013
6122325154322141
710645301405464
oct1464246205255
9345165507207
10110102121133
114276a860244
1219408b89351
13a4c8704004
1454869a79db
152ce606aa8d
hex19a2990aad

110102121133 has 2 divisors, whose sum is σ = 110102121134. Its totient is φ = 110102121132.

The previous prime is 110102121131. The next prime is 110102121163. The reversal of 110102121133 is 331121201011.

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., 82252519209 + 27849601924 = 286797^2 + 166882^2 .

It is a cyclic number.

It is not a de Polignac number, because 110102121133 - 21 = 110102121131 is a prime.

Together with 110102121131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110102121131) 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, 55051060566 + 55051060567.

It is an arithmetic number, because the mean of its divisors is an integer number (55051060567).

Almost surely, 2110102121133 is an apocalyptic number.

It is an amenable number.

110102121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

110102121133 is an equidigital number, since it uses as much as digits as its factorization.

110102121133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110102121133 its reverse (331121201011), we get a palindrome (441223322144).

The spelling of 110102121133 in words is "one hundred ten billion, one hundred two million, one hundred twenty-one thousand, one hundred thirty-three".