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83138292217 is a prime number
BaseRepresentation
bin100110101101101101…
…1011010100111111001
321221121001100211121001
41031123123122213321
52330231400322332
6102105422045001
76002146552411
oct1153333324771
9257531324531
1083138292217
1132293442512
1214142a19761
137abc379266
14404989d641
152268c7d0e7
hex135b6da9f9

83138292217 has 2 divisors, whose sum is σ = 83138292218. Its totient is φ = 83138292216.

The previous prime is 83138292091. The next prime is 83138292283. The reversal of 83138292217 is 71229283138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65251637136 + 17886655081 = 255444^2 + 133741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83138292217 is a prime.

It is not a weakly prime, because it can be changed into another prime (83138292287) 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, 41569146108 + 41569146109.

It is an arithmetic number, because the mean of its divisors is an integer number (41569146109).

Almost surely, 283138292217 is an apocalyptic number.

It is an amenable number.

83138292217 is a deficient number, since it is larger than the sum of its proper divisors (1).

83138292217 is an equidigital number, since it uses as much as digits as its factorization.

83138292217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 46.

The spelling of 83138292217 in words is "eighty-three billion, one hundred thirty-eight million, two hundred ninety-two thousand, two hundred seventeen".