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2200233313133 is a prime number
BaseRepresentation
bin100000000001001000001…
…000000000001101101101
321210100012001011001220122
4200001020020000031231
5242022034212010013
64402435003454325
7314650555404212
oct40011010001555
97710161131818
102200233313133
11779128388659
122b65058273a5
1312c63400284b
14786c5945b09
153c376b8ba08
hex2004820036d

2200233313133 has 2 divisors, whose sum is σ = 2200233313134. Its totient is φ = 2200233313132.

The previous prime is 2200233313079. The next prime is 2200233313199. The reversal of 2200233313133 is 3313133320022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1336712882569 + 863520430564 = 1156163^2 + 929258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200233313133 - 28 = 2200233312877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200233313433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100116656566 + 1100116656567.

It is an arithmetic number, because the mean of its divisors is an integer number (1100116656567).

Almost surely, 22200233313133 is an apocalyptic number.

It is an amenable number.

2200233313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200233313133 is an equidigital number, since it uses as much as digits as its factorization.

2200233313133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 2200233313133 its reverse (3313133320022), we get a palindrome (5513366633155).

The spelling of 2200233313133 in words is "two trillion, two hundred billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-three".