Search a number
-
+
20333122213121 is a prime number
BaseRepresentation
bin1001001111110001011001…
…00001101101010100000001
32122222211100020200021222222
410213320230201231110001
510131114213241304441
6111124523555140425
74166006503065254
oct447705441552401
978884306607888
1020333122213121
11652a257451293
1223448415a4715
13b465362ac303
145041b234509b
15253da0303d4b
hex127e2c86d501

20333122213121 has 2 divisors, whose sum is σ = 20333122213122. Its totient is φ = 20333122213120.

The previous prime is 20333122213093. The next prime is 20333122213147. The reversal of 20333122213121 is 12131222133302.

It is an a-pointer prime, because the next prime (20333122213147) can be obtained adding 20333122213121 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16197694932496 + 4135427280625 = 4024636^2 + 2033575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20333122213121 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 (20333122213181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10166561106560 + 10166561106561.

It is an arithmetic number, because the mean of its divisors is an integer number (10166561106561).

Almost surely, 220333122213121 is an apocalyptic number.

It is an amenable number.

20333122213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20333122213121 is an equidigital number, since it uses as much as digits as its factorization.

20333122213121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 20333122213121 its reverse (12131222133302), we get a palindrome (32464344346423).

The spelling of 20333122213121 in words is "twenty trillion, three hundred thirty-three billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-one".