Search a number
-
+
101222220133 is a prime number
BaseRepresentation
bin101111001000101010…
…0001000000101100101
3100200021100110120002001
41132101110020011211
53124300342021013
6114300103245301
710212244450336
oct1362124100545
9320240416061
10101222220133
1139a23339191
121774b149831
139711ab3a18
144c834d628d
1529766b3ddd
hex1791508165

101222220133 has 2 divisors, whose sum is σ = 101222220134. Its totient is φ = 101222220132.

The previous prime is 101222220101. The next prime is 101222220161. The reversal of 101222220133 is 331022222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101110008484 + 112211649 = 317978^2 + 10593^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222220133 - 25 = 101222220101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101222220133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222220733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611110066 + 50611110067.

It is an arithmetic number, because the mean of its divisors is an integer number (50611110067).

Almost surely, 2101222220133 is an apocalyptic number.

It is an amenable number.

101222220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222220133 is an equidigital number, since it uses as much as digits as its factorization.

101222220133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101222220133 its reverse (331022222101), we get a palindrome (432244442234).

The spelling of 101222220133 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred thirty-three".