Search a number
-
+
101222222033 is a prime number
BaseRepresentation
bin101111001000101010…
…0001000100011010001
3100200021100110122200102
41132101110020203101
53124300342101113
6114300103302145
710212244456022
oct1362124104321
9320240418612
10101222222033
1139a2333a659
121774b14a955
139711ab484a
144c834d6c49
1529766b4758
hex17915088d1

101222222033 has 2 divisors, whose sum is σ = 101222222034. Its totient is φ = 101222222032.

The previous prime is 101222221883. The next prime is 101222222077. The reversal of 101222222033 is 330222222101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100814505169 + 407716864 = 317513^2 + 20192^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222222033 - 224 = 101205444817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101222221996 and 101222222014.

It is not a weakly prime, because it can be changed into another prime (101222222093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611111016 + 50611111017.

It is an arithmetic number, because the mean of its divisors is an integer number (50611111017).

Almost surely, 2101222222033 is an apocalyptic number.

It is an amenable number.

101222222033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222222033 is an equidigital number, since it uses as much as digits as its factorization.

101222222033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101222222033 its reverse (330222222101), we get a palindrome (431444444134).

The spelling of 101222222033 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand, thirty-three".