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20311312337 is a prime number
BaseRepresentation
bin10010111010101001…
…100000011111010001
31221102112022120111022
4102322221200133101
5313044143443322
613155245525225
71316222210021
oct227251403721
957375276438
1020311312337
11868322a648
123b2a273815
131bb9036714
14da97a1a81
157dd261942
hex4baa607d1

20311312337 has 2 divisors, whose sum is σ = 20311312338. Its totient is φ = 20311312336.

The previous prime is 20311312297. The next prime is 20311312339. The reversal of 20311312337 is 73321311302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12792514816 + 7518797521 = 113104^2 + 86711^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311312337 - 210 = 20311311313 is a prime.

Together with 20311312339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20311312339) 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, 10155656168 + 10155656169.

It is an arithmetic number, because the mean of its divisors is an integer number (10155656169).

Almost surely, 220311312337 is an apocalyptic number.

It is an amenable number.

20311312337 is a deficient number, since it is larger than the sum of its proper divisors (1).

20311312337 is an equidigital number, since it uses as much as digits as its factorization.

20311312337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 20311312337 its reverse (73321311302), we get a palindrome (93632623639).

The spelling of 20311312337 in words is "twenty billion, three hundred eleven million, three hundred twelve thousand, three hundred thirty-seven".