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20311332289 is a prime number
BaseRepresentation
bin10010111010101001…
…100101010111000001
31221102112100120212021
4102322221211113001
5313044200113124
613155250201441
71316222322133
oct227251452701
957375316767
1020311332289
118683243636
123b2a283281
131bb9042821
14da97a9053
157dd2677e4
hex4baa655c1

20311332289 has 2 divisors, whose sum is σ = 20311332290. Its totient is φ = 20311332288.

The previous prime is 20311332281. The next prime is 20311332311. The reversal of 20311332289 is 98223311302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10277904400 + 10033427889 = 101380^2 + 100167^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311332289 - 23 = 20311332281 is a prime.

It is a super-3 number, since 3×203113322893 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (20311332281) 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, 10155666144 + 10155666145.

It is an arithmetic number, because the mean of its divisors is an integer number (10155666145).

Almost surely, 220311332289 is an apocalyptic number.

It is an amenable number.

20311332289 is a deficient number, since it is larger than the sum of its proper divisors (1).

20311332289 is an equidigital number, since it uses as much as digits as its factorization.

20311332289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 20311332289 in words is "twenty billion, three hundred eleven million, three hundred thirty-two thousand, two hundred eighty-nine".