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106713682213 is a prime number
BaseRepresentation
bin110001101100010100…
…0011001000100100101
3101012110001121201212111
41203120220121010211
53222022200312323
6121005032321021
710465315222015
oct1433050310445
9335401551774
10106713682213
11412911009a6
1218822243171
13a0a86c8478
145244969c45
152b98848c0d
hex18d8a19125

106713682213 has 2 divisors, whose sum is σ = 106713682214. Its totient is φ = 106713682212.

The previous prime is 106713682181. The next prime is 106713682237. The reversal of 106713682213 is 312286317601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96076441444 + 10637240769 = 309962^2 + 103137^2 .

It is a cyclic number.

It is not a de Polignac number, because 106713682213 - 25 = 106713682181 is a prime.

It is a super-3 number, since 3×1067136822133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106713682013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53356841106 + 53356841107.

It is an arithmetic number, because the mean of its divisors is an integer number (53356841107).

Almost surely, 2106713682213 is an apocalyptic number.

It is an amenable number.

106713682213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106713682213 is an equidigital number, since it uses as much as digits as its factorization.

106713682213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

Adding to 106713682213 its reverse (312286317601), we get a palindrome (418999999814).

The spelling of 106713682213 in words is "one hundred six billion, seven hundred thirteen million, six hundred eighty-two thousand, two hundred thirteen".