Search a number
-
+
2222122122001 is a prime number
BaseRepresentation
bin100000010101100000110…
…011001011101100010001
321212102200111210202211101
4200111200303023230101
5242401401230401001
64420455004544401
7316354154250415
oct40254063135421
97772614722741
102222122122001
11787440009741
122ba7b4252101
13131711ac3262
14797a0a20d45
153cc08654a01
hex20560ccbb11

2222122122001 has 2 divisors, whose sum is σ = 2222122122002. Its totient is φ = 2222122122000.

The previous prime is 2222122121987. The next prime is 2222122122053. The reversal of 2222122122001 is 1002212212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2221220621376 + 901500625 = 1490376^2 + 30025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222122122001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2222122122001.

It is not a weakly prime, because it can be changed into another prime (2222122122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111061061000 + 1111061061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1111061061001).

Almost surely, 22222122122001 is an apocalyptic number.

It is an amenable number.

2222122122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222122122001 is an equidigital number, since it uses as much as digits as its factorization.

2222122122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222122122001 its reverse (1002212212222), we get a palindrome (3224334334223).

The spelling of 2222122122001 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one".