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33153249121 is a prime number
BaseRepresentation
bin11110111000000101…
…100110111101100001
310011120111200112222121
4132320011212331201
51020344212432441
623121433104241
72252365652656
oct367005467541
9104514615877
1033153249121
1113073165843
126512b58081
133184745395
141867143c2d
15ce088edd1
hex7b8166f61

33153249121 has 2 divisors, whose sum is σ = 33153249122. Its totient is φ = 33153249120.

The previous prime is 33153249079. The next prime is 33153249127. The reversal of 33153249121 is 12194235133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25046227600 + 8107021521 = 158260^2 + 90039^2 .

It is a cyclic number.

It is not a de Polignac number, because 33153249121 - 219 = 33152724833 is a prime.

It is not a weakly prime, because it can be changed into another prime (33153249127) 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, 16576624560 + 16576624561.

It is an arithmetic number, because the mean of its divisors is an integer number (16576624561).

Almost surely, 233153249121 is an apocalyptic number.

It is an amenable number.

33153249121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33153249121 is an equidigital number, since it uses as much as digits as its factorization.

33153249121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 34.

The spelling of 33153249121 in words is "thirty-three billion, one hundred fifty-three million, two hundred forty-nine thousand, one hundred twenty-one".