Search a number
-
+
2200201333133 is a prime number
BaseRepresentation
bin100000000001000110001…
…110000000100110001101
321210100002210222022121012
4200001012032000212031
5242022003020130013
64402431502215005
7314650016521106
oct40010616004615
97710083868535
102200201333133
11779111325601
122b64b6b84465
1312c62a4b657b
14786c15bd3ad
153c373e711a8
hex2004638098d

2200201333133 has 2 divisors, whose sum is σ = 2200201333134. Its totient is φ = 2200201333132.

The previous prime is 2200201333111. The next prime is 2200201333193. The reversal of 2200201333133 is 3313331020022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1945905031849 + 254296301284 = 1394957^2 + 504278^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200201333133 - 236 = 2131481856397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200201333099 and 2200201333108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200201333103) 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, 1100100666566 + 1100100666567.

It is an arithmetic number, because the mean of its divisors is an integer number (1100100666567).

Almost surely, 22200201333133 is an apocalyptic number.

It is an amenable number.

2200201333133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200201333133 is an equidigital number, since it uses as much as digits as its factorization.

2200201333133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2200201333133 its reverse (3313331020022), we get a palindrome (5513532353155).

The spelling of 2200201333133 in words is "two trillion, two hundred billion, two hundred one million, three hundred thirty-three thousand, one hundred thirty-three".