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20814106331 is a prime number
BaseRepresentation
bin10011011000100111…
…100000111011011011
31222201120102011012002
4103120213200323123
5320111402400311
613321210311215
71334535661514
oct233047407333
958646364162
1020814106331
118911025177
12404a72850b
131c69259465
141016483a0b
1581c47c93b
hex4d89e0edb

20814106331 has 2 divisors, whose sum is σ = 20814106332. Its totient is φ = 20814106330.

The previous prime is 20814106321. The next prime is 20814106333. The reversal of 20814106331 is 13360141802.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20814106331 - 218 = 20813844187 is a prime.

It is a super-2 number, since 2×208141063312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 20814106333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20814106294 and 20814106303.

It is not a weakly prime, because it can be changed into another prime (20814106333) 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, 10407053165 + 10407053166.

It is an arithmetic number, because the mean of its divisors is an integer number (10407053166).

Almost surely, 220814106331 is an apocalyptic number.

20814106331 is a deficient number, since it is larger than the sum of its proper divisors (1).

20814106331 is an equidigital number, since it uses as much as digits as its factorization.

20814106331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 20814106331 in words is "twenty billion, eight hundred fourteen million, one hundred six thousand, three hundred thirty-one".