Search a number
-
+
2022220002133 is a prime number
BaseRepresentation
bin11101011011010101101…
…101000111001101010101
321011022200222200220122001
4131123111231013031111
5231113001310032013
64144554532435301
7266046332256262
oct35332555071525
97138628626561
102022220002133
1170a689521311
12287b05478b31
13118904b54a26
146dc3993c269
1537908ab6ddd
hex1d6d5b47355

2022220002133 has 2 divisors, whose sum is σ = 2022220002134. Its totient is φ = 2022220002132.

The previous prime is 2022220002067. The next prime is 2022220002203. The reversal of 2022220002133 is 3312000222202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2000408552164 + 21811449969 = 1414358^2 + 147687^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022220002133 - 29 = 2022220001621 is a prime.

It is a super-3 number, since 3×20222200021333 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022220002133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022220009133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011110001066 + 1011110001067.

It is an arithmetic number, because the mean of its divisors is an integer number (1011110001067).

Almost surely, 22022220002133 is an apocalyptic number.

It is an amenable number.

2022220002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022220002133 is an equidigital number, since it uses as much as digits as its factorization.

2022220002133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2022220002133 its reverse (3312000222202), we get a palindrome (5334220224335).

The spelling of 2022220002133 in words is "two trillion, twenty-two billion, two hundred twenty million, two thousand, one hundred thirty-three".