Search a number
-
+
2022012121133 is a prime number
BaseRepresentation
bin11101011011001001010…
…100000111000000101101
321011022011111112110111202
4131123021110013000231
5231112040100334013
64144522145055245
7266041226306234
oct35331124070055
97138144473452
102022012121133
1170a592146234
12287a67927525
131188a0a6b514
146dc1a0a7b1b
15378e5702858
hex1d6c950702d

2022012121133 has 2 divisors, whose sum is σ = 2022012121134. Its totient is φ = 2022012121132.

The previous prime is 2022012121127. The next prime is 2022012121219. The reversal of 2022012121133 is 3311212102202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1914534366889 + 107477754244 = 1383667^2 + 327838^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022012121133 - 26 = 2022012121069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022012121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011006060566 + 1011006060567.

It is an arithmetic number, because the mean of its divisors is an integer number (1011006060567).

Almost surely, 22022012121133 is an apocalyptic number.

It is an amenable number.

2022012121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022012121133 is an equidigital number, since it uses as much as digits as its factorization.

2022012121133 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 20.

Adding to 2022012121133 its reverse (3311212102202), we get a palindrome (5333224223335).

The spelling of 2022012121133 in words is "two trillion, twenty-two billion, twelve million, one hundred twenty-one thousand, one hundred thirty-three".