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2002012222193 is a prime number
BaseRepresentation
bin11101001000100001001…
…110100011001011110001
321002101112200012022212222
4131020201032203023301
5230300110112102233
64131413421530425
7264432505053044
oct35104116431361
97071480168788
102002012222193
11702059786135
12284005a13a15
13116a343ca8a9
146cc7dc0ac5b
15371249a6898
hex1d2213a32f1

2002012222193 has 2 divisors, whose sum is σ = 2002012222194. Its totient is φ = 2002012222192.

The previous prime is 2002012222187. The next prime is 2002012222271. The reversal of 2002012222193 is 3912222102002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1655383304689 + 346628917504 = 1286617^2 + 588752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002012222193 - 26 = 2002012222129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002012222393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001006111096 + 1001006111097.

It is an arithmetic number, because the mean of its divisors is an integer number (1001006111097).

Almost surely, 22002012222193 is an apocalyptic number.

It is an amenable number.

2002012222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002012222193 is an equidigital number, since it uses as much as digits as its factorization.

2002012222193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 2002012222193 its reverse (3912222102002), we get a palindrome (5914234324195).

The spelling of 2002012222193 in words is "two trillion, two billion, twelve million, two hundred twenty-two thousand, one hundred ninety-three".