Search a number
-
+
2201201222197 is a prime number
BaseRepresentation
bin100000000010000001110…
…100010010001000110101
321210102200111102221112111
4200002001310102020311
5242031030003102242
64403115021251021
7315013550450425
oct40020164221065
97712614387474
102201201222197
11779584782aaa
122b6735a03a71
1312c7596b50c3
14787782dc485
153c3d1b2e817
hex20081d12235

2201201222197 has 2 divisors, whose sum is σ = 2201201222198. Its totient is φ = 2201201222196.

The previous prime is 2201201222183. The next prime is 2201201222221. The reversal of 2201201222197 is 7912221021022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2187822598641 + 13378623556 = 1479129^2 + 115666^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201201222197 - 227 = 2201067004469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201201222117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100600611098 + 1100600611099.

It is an arithmetic number, because the mean of its divisors is an integer number (1100600611099).

Almost surely, 22201201222197 is an apocalyptic number.

It is an amenable number.

2201201222197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201201222197 is an equidigital number, since it uses as much as digits as its factorization.

2201201222197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2201201222197 in words is "two trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand, one hundred ninety-seven".