Search a number
-
+
2202100222073 is a prime number
BaseRepresentation
bin100000000010110111011…
…001101100100001111001
321210112000011001212112012
4200002313121230201321
5242034400124101243
64403344134055305
7315045045022343
oct40026731544171
97715004055465
102202100222073
117799a6191a04
122b6946aaa535
1312c870a1b4ab
1478821878293
153c435a0ed18
hex200b766c879

2202100222073 has 2 divisors, whose sum is σ = 2202100222074. Its totient is φ = 2202100222072.

The previous prime is 2202100222001. The next prime is 2202100222117. The reversal of 2202100222073 is 3702220012022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1368974881024 + 833125341049 = 1170032^2 + 912757^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202100222073 - 240 = 1102588594297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202100222373) 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, 1101050111036 + 1101050111037.

It is an arithmetic number, because the mean of its divisors is an integer number (1101050111037).

Almost surely, 22202100222073 is an apocalyptic number.

It is an amenable number.

2202100222073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202100222073 is an equidigital number, since it uses as much as digits as its factorization.

2202100222073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 2202100222073 its reverse (3702220012022), we get a palindrome (5904320234095).

The spelling of 2202100222073 in words is "two trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, seventy-three".