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106188398713 is a prime number
BaseRepresentation
bin110001011100101010…
…0100110000001111001
3101011002110012120101001
41202321110212001321
53214433212224323
6120440545525001
710446306332155
oct1427124460171
9334073176331
10106188398713
1141041645701
12186b6343761
13a023930127
1451d4cb2065
152b676893ad
hex18b9526079

106188398713 has 2 divisors, whose sum is σ = 106188398714. Its totient is φ = 106188398712.

The previous prime is 106188398689. The next prime is 106188398717. The reversal of 106188398713 is 317893881601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83930145849 + 22258252864 = 289707^2 + 149192^2 .

It is a cyclic number.

It is not a de Polignac number, because 106188398713 - 225 = 106154844281 is a prime.

It is a super-2 number, since 2×1061883987132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106188398717) 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, 53094199356 + 53094199357.

It is an arithmetic number, because the mean of its divisors is an integer number (53094199357).

Almost surely, 2106188398713 is an apocalyptic number.

It is an amenable number.

106188398713 is a deficient number, since it is larger than the sum of its proper divisors (1).

106188398713 is an equidigital number, since it uses as much as digits as its factorization.

106188398713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 106188398713 in words is "one hundred six billion, one hundred eighty-eight million, three hundred ninety-eight thousand, seven hundred thirteen".