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2133106561 is a prime number
BaseRepresentation
bin111111100100100…
…1001111110000001
312111122211001002201
41333021021332001
513332033402221
6551355513201
7103601051365
oct17711117601
95448731081
102133106561
119a50a0593
124b6458801
1327cc0cb41
141634272a5
15c7406891
hex7f249f81

2133106561 has 2 divisors, whose sum is σ = 2133106562. Its totient is φ = 2133106560.

The previous prime is 2133106553. The next prime is 2133106579. The reversal of 2133106561 is 1656013312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1508856336 + 624250225 = 38844^2 + 24985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133106561 - 23 = 2133106553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2136106561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066553280 + 1066553281.

It is an arithmetic number, because the mean of its divisors is an integer number (1066553281).

Almost surely, 22133106561 is an apocalyptic number.

It is an amenable number.

2133106561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133106561 is an equidigital number, since it uses as much as digits as its factorization.

2133106561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2133106561 is about 46185.5665874091. The cubic root of 2133106561 is about 1287.2735640494.

Adding to 2133106561 its reverse (1656013312), we get a palindrome (3789119873).

The spelling of 2133106561 in words is "two billion, one hundred thirty-three million, one hundred six thousand, five hundred sixty-one".