Search a number
-
+
2022013101133 is a prime number
BaseRepresentation
bin11101011011001001010…
…111110110010001001101
321011022011120101020211001
4131123021113312101031
5231112040323214013
64144522222100301
7266041240530334
oct35331127662115
97138146336731
102022013101133
1170a592755553
12287a6811a691
131188a10225bc
146dc1a280d1b
15378e5847ddd
hex1d6c95f644d

2022013101133 has 2 divisors, whose sum is σ = 2022013101134. Its totient is φ = 2022013101132.

The previous prime is 2022013101109. The next prime is 2022013101167. The reversal of 2022013101133 is 3311013102202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1423924318089 + 598088783044 = 1193283^2 + 773362^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022013101133 - 225 = 2021979546701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2022013101133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022013108133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011006550566 + 1011006550567.

It is an arithmetic number, because the mean of its divisors is an integer number (1011006550567).

Almost surely, 22022013101133 is an apocalyptic number.

It is an amenable number.

2022013101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022013101133 is an equidigital number, since it uses as much as digits as its factorization.

2022013101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2022013101133 its reverse (3311013102202), we get a palindrome (5333026203335).

The spelling of 2022013101133 in words is "two trillion, twenty-two billion, thirteen million, one hundred one thousand, one hundred thirty-three".