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8122332193 is a prime number
BaseRepresentation
bin1111001000010000…
…01111010000100001
3202222001121020010021
413210020033100201
5113113304112233
63421545433441
7405164453533
oct74410172041
922861536107
108122332193
113498932438
1216a819b881
139c59a5731
14570a2d853
15328111e2d
hex1e420f421

8122332193 has 2 divisors, whose sum is σ = 8122332194. Its totient is φ = 8122332192.

The previous prime is 8122332191. The next prime is 8122332269. The reversal of 8122332193 is 3912332218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5130570384 + 2991761809 = 71628^2 + 54697^2 .

It is a cyclic number.

It is not a de Polignac number, because 8122332193 - 21 = 8122332191 is a prime.

Together with 8122332191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8122332191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4061166096 + 4061166097.

It is an arithmetic number, because the mean of its divisors is an integer number (4061166097).

Almost surely, 28122332193 is an apocalyptic number.

It is an amenable number.

8122332193 is a deficient number, since it is larger than the sum of its proper divisors (1).

8122332193 is an equidigital number, since it uses as much as digits as its factorization.

8122332193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The square root of 8122332193 is about 90123.9823409951. The cubic root of 8122332193 is about 2010.1428240219.

The spelling of 8122332193 in words is "eight billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred ninety-three".