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106374384317 is a prime number
BaseRepresentation
bin110001100010001101…
…0000100101010111101
3101011120102011121122202
41203010122010222331
53220323320244232
6120511232121245
710454025230225
oct1430432045275
9334512147582
10106374384317
1141127626413
1218748696225
13a05331b596
145211887085
152b78b76162
hex18c4684abd

106374384317 has 2 divisors, whose sum is σ = 106374384318. Its totient is φ = 106374384316.

The previous prime is 106374384253. The next prime is 106374384349. The reversal of 106374384317 is 713483473601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103059618841 + 3314765476 = 321029^2 + 57574^2 .

It is a cyclic number.

It is not a de Polignac number, because 106374384317 - 26 = 106374384253 is a prime.

It is a super-2 number, since 2×1063743843172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106374384377) 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, 53187192158 + 53187192159.

It is an arithmetic number, because the mean of its divisors is an integer number (53187192159).

Almost surely, 2106374384317 is an apocalyptic number.

It is an amenable number.

106374384317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106374384317 is an equidigital number, since it uses as much as digits as its factorization.

106374384317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 106374384317 in words is "one hundred six billion, three hundred seventy-four million, three hundred eighty-four thousand, three hundred seventeen".