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20814106321 is a prime number
BaseRepresentation
bin10011011000100111…
…100000111011010001
31222201120102011011201
4103120213200323101
5320111402400241
613321210311201
71334535661501
oct233047407321
958646364151
1020814106321
118911025168
12404a728501
131c69259458
141016483a01
1581c47c931
hex4d89e0ed1

20814106321 has 2 divisors, whose sum is σ = 20814106322. Its totient is φ = 20814106320.

The previous prime is 20814106297. The next prime is 20814106331. The reversal of 20814106321 is 12360141802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13945011921 + 6869094400 = 118089^2 + 82880^2 .

It is a cyclic number.

It is not a de Polignac number, because 20814106321 - 229 = 20277235409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20814106321.

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 (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10407053160 + 10407053161.

It is an arithmetic number, because the mean of its divisors is an integer number (10407053161).

Almost surely, 220814106321 is an apocalyptic number.

It is an amenable number.

20814106321 is a deficient number, since it is larger than the sum of its proper divisors (1).

20814106321 is an equidigital number, since it uses as much as digits as its factorization.

20814106321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 20814106321 in words is "twenty billion, eight hundred fourteen million, one hundred six thousand, three hundred twenty-one".