Search a number
-
+
106559627353 is a prime number
BaseRepresentation
bin110001100111101110…
…0101110000001011001
3101012001022201221022221
41203033130232001121
53221213231033403
6120541450344041
710461434613334
oct1431734560131
9335038657287
10106559627353
114121214a233
121879a72b021
13a082809a4a
14522c30761b
152b8a067dbd
hex18cf72e059

106559627353 has 2 divisors, whose sum is σ = 106559627354. Its totient is φ = 106559627352.

The previous prime is 106559627257. The next prime is 106559627381. The reversal of 106559627353 is 353726955601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67336617049 + 39223010304 = 259493^2 + 198048^2 .

It is a cyclic number.

It is not a de Polignac number, because 106559627353 - 221 = 106557530201 is a prime.

It is a super-2 number, since 2×1065596273532 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106559627353.

It is not a weakly prime, because it can be changed into another prime (106559627393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53279813676 + 53279813677.

It is an arithmetic number, because the mean of its divisors is an integer number (53279813677).

Almost surely, 2106559627353 is an apocalyptic number.

It is an amenable number.

106559627353 is a deficient number, since it is larger than the sum of its proper divisors (1).

106559627353 is an equidigital number, since it uses as much as digits as its factorization.

106559627353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103000, while the sum is 52.

The spelling of 106559627353 in words is "one hundred six billion, five hundred fifty-nine million, six hundred twenty-seven thousand, three hundred fifty-three".