Search a number
-
+
20221333111313 is a prime number
BaseRepresentation
bin1001001100100001001010…
…11000001000001000010001
32122121010210110202112022222
410212100211120020020101
510122301242234030223
6111001315134510425
74154641325310455
oct446204530101021
978533713675288
1020221333111313
116496901410544
122327043665415
13b38b2c2399a9
144dca096c4665
1525100b1070c8
hex126425608211

20221333111313 has 2 divisors, whose sum is σ = 20221333111314. Its totient is φ = 20221333111312.

The previous prime is 20221333111283. The next prime is 20221333111321. The reversal of 20221333111313 is 31311133312202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20148355870864 + 72977240449 = 4488692^2 + 270143^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221333111313 - 236 = 20152613634577 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 (20221333111373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110666555656 + 10110666555657.

It is an arithmetic number, because the mean of its divisors is an integer number (10110666555657).

Almost surely, 220221333111313 is an apocalyptic number.

It is an amenable number.

20221333111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221333111313 is an equidigital number, since it uses as much as digits as its factorization.

20221333111313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 20221333111313 its reverse (31311133312202), we get a palindrome (51532466423515).

The spelling of 20221333111313 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirty-three million, one hundred eleven thousand, three hundred thirteen".