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20814106333 is a prime number
BaseRepresentation
bin10011011000100111…
…100000111011011101
31222201120102011012011
4103120213200323131
5320111402400313
613321210311221
71334535661516
oct233047407335
958646364164
1020814106333
118911025179
12404a728511
131c69259467
141016483a0d
1581c47c93d
hex4d89e0edd

20814106333 has 2 divisors, whose sum is σ = 20814106334. Its totient is φ = 20814106332.

The previous prime is 20814106331. The next prime is 20814106351. The reversal of 20814106333 is 33360141802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19476156249 + 1337950084 = 139557^2 + 36578^2 .

It is a cyclic number.

It is not a de Polignac number, because 20814106333 - 21 = 20814106331 is a prime.

Together with 20814106331, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20814106295 and 20814106304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20814106331) 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, 10407053166 + 10407053167.

It is an arithmetic number, because the mean of its divisors is an integer number (10407053167).

Almost surely, 220814106333 is an apocalyptic number.

It is an amenable number.

20814106333 is a deficient number, since it is larger than the sum of its proper divisors (1).

20814106333 is an equidigital number, since it uses as much as digits as its factorization.

20814106333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 20814106333 in words is "twenty billion, eight hundred fourteen million, one hundred six thousand, three hundred thirty-three".