Search a number
-
+
107288826929 is a prime number
BaseRepresentation
bin110001111101011101…
…0011001010000110001
3101020221010212010002122
41203322322121100301
53224211414430204
6121142055524025
710515500660534
oct1437272312061
9336833763078
10107288826929
1141556822709
1218962989615
13a16a90099b
14529b0c2a1b
152bce0a70be
hex18fae99431

107288826929 has 2 divisors, whose sum is σ = 107288826930. Its totient is φ = 107288826928.

The previous prime is 107288826901. The next prime is 107288826947. The reversal of 107288826929 is 929628882701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99744167329 + 7544659600 = 315823^2 + 86860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107288826929 is a prime.

It is not a weakly prime, because it can be changed into another prime (107288826529) 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, 53644413464 + 53644413465.

It is an arithmetic number, because the mean of its divisors is an integer number (53644413465).

Almost surely, 2107288826929 is an apocalyptic number.

It is an amenable number.

107288826929 is a deficient number, since it is larger than the sum of its proper divisors (1).

107288826929 is an equidigital number, since it uses as much as digits as its factorization.

107288826929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 62.

It can be divided in two parts, 10728882692 and 9, that added together give a palindrome (10728882701).

The spelling of 107288826929 in words is "one hundred seven billion, two hundred eighty-eight million, eight hundred twenty-six thousand, nine hundred twenty-nine".