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820210286893 is a prime number
BaseRepresentation
bin10111110111110000101…
…01111100000100101101
32220102002212100200121211
423323320111330010231
5101414242313140033
61424444400554421
7113154401256154
oct13737025740455
92812085320554
10820210286893
11296938362438
12112b66922a11
135c4650a090a
142b9ac54a59b
151650774a2cd
hexbef857c12d

820210286893 has 2 divisors, whose sum is σ = 820210286894. Its totient is φ = 820210286892.

The previous prime is 820210286887. The next prime is 820210286899. The reversal of 820210286893 is 398682012028.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (820210286887) and next prime (820210286899).

It can be written as a sum of positive squares in only one way, i.e., 744705139369 + 75505147524 = 862963^2 + 274782^2 .

It is a cyclic number.

It is not a de Polignac number, because 820210286893 - 225 = 820176732461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820210286899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410105143446 + 410105143447.

It is an arithmetic number, because the mean of its divisors is an integer number (410105143447).

Almost surely, 2820210286893 is an apocalyptic number.

It is an amenable number.

820210286893 is a deficient number, since it is larger than the sum of its proper divisors (1).

820210286893 is an equidigital number, since it uses as much as digits as its factorization.

820210286893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 820210286893 in words is "eight hundred twenty billion, two hundred ten million, two hundred eighty-six thousand, eight hundred ninety-three".