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20001312113 is a prime number
BaseRepresentation
bin10010101000001010…
…111100110101110001
31220121220222221010112
4102220022330311301
5311430313441423
613104413311105
71305436230206
oct225012746561
956556887115
1020001312113
118534245912
123a62495495
131b69a46c33
14d7a547cad
157c0e29a78
hex4a82bcd71

20001312113 has 2 divisors, whose sum is σ = 20001312114. Its totient is φ = 20001312112.

The previous prime is 20001312077. The next prime is 20001312119. The reversal of 20001312113 is 31121310002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19955235169 + 46076944 = 141263^2 + 6788^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001312113 - 214 = 20001295729 is a prime.

It is not a weakly prime, because it can be changed into another prime (20001312119) 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, 10000656056 + 10000656057.

It is an arithmetic number, because the mean of its divisors is an integer number (10000656057).

Almost surely, 220001312113 is an apocalyptic number.

It is an amenable number.

20001312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001312113 is an equidigital number, since it uses as much as digits as its factorization.

20001312113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20001312113 its reverse (31121310002), we get a palindrome (51122622115).

The spelling of 20001312113 in words is "twenty billion, one million, three hundred twelve thousand, one hundred thirteen".