Search a number
-
+
2022100202033 is a prime number
BaseRepresentation
bin11101011011001110100…
…100000111001000110001
321011022101122021102210022
4131123032210013020301
5231112230122431113
64144535013013225
7266043346056662
oct35331644071061
97138348242708
102022100202033
1170a62793676a
12287a91324215
131188b609aab2
146dc27a75369
15378ed300908
hex1d6ce907231

2022100202033 has 2 divisors, whose sum is σ = 2022100202034. Its totient is φ = 2022100202032.

The previous prime is 2022100202009. The next prime is 2022100202039. The reversal of 2022100202033 is 3302020012202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1318769734129 + 703330467904 = 1148377^2 + 838648^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022100202033 - 26 = 2022100201969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2022100202039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011050101016 + 1011050101017.

It is an arithmetic number, because the mean of its divisors is an integer number (1011050101017).

Almost surely, 22022100202033 is an apocalyptic number.

It is an amenable number.

2022100202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022100202033 is an equidigital number, since it uses as much as digits as its factorization.

2022100202033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2022100202033 its reverse (3302020012202), we get a palindrome (5324120214235).

The spelling of 2022100202033 in words is "two trillion, twenty-two billion, one hundred million, two hundred two thousand, thirty-three".