Search a number
-
+
2200444224133 is a prime number
BaseRepresentation
bin100000000001010100101…
…100100100001010000101
321210100201202000110102011
4200001110230210022011
5242023002210133013
64402511540214221
7314656026204121
oct40012454441205
97710652013364
102200444224133
11779226443171
122b656439a371
1312c66890a25c
1478705968581
153c38a44dc3d
hex20054b24285

2200444224133 has 2 divisors, whose sum is σ = 2200444224134. Its totient is φ = 2200444224132.

The previous prime is 2200444223987. The next prime is 2200444224217. The reversal of 2200444224133 is 3314224440022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687354236324 + 513089987809 = 1298982^2 + 716303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200444224133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200444224095 and 2200444224104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200444224533) 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, 1100222112066 + 1100222112067.

It is an arithmetic number, because the mean of its divisors is an integer number (1100222112067).

Almost surely, 22200444224133 is an apocalyptic number.

It is an amenable number.

2200444224133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200444224133 is an equidigital number, since it uses as much as digits as its factorization.

2200444224133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2200444224133 its reverse (3314224440022), we get a palindrome (5514668664155).

The spelling of 2200444224133 in words is "two trillion, two hundred billion, four hundred forty-four million, two hundred twenty-four thousand, one hundred thirty-three".