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107288744993 is a prime number
BaseRepresentation
bin110001111101011101…
…0000101010000100001
3101020221010200221200222
41203322322011100201
53224211404314433
6121142054052425
710515500166623
oct1437272052041
9336833627628
10107288744993
11415567770a1
121896294a115
13a16a8a25c1
14529b0a0c13
152bce08cb98
hex18fae85421

107288744993 has 2 divisors, whose sum is σ = 107288744994. Its totient is φ = 107288744992.

The previous prime is 107288744987. The next prime is 107288745059. The reversal of 107288744993 is 399447882701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62676123904 + 44612621089 = 250352^2 + 211217^2 .

It is a cyclic number.

It is not a de Polignac number, because 107288744993 - 24 = 107288744977 is a prime.

It is not a weakly prime, because it can be changed into another prime (107288744293) 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, 53644372496 + 53644372497.

It is an arithmetic number, because the mean of its divisors is an integer number (53644372497).

Almost surely, 2107288744993 is an apocalyptic number.

It is an amenable number.

107288744993 is a deficient number, since it is larger than the sum of its proper divisors (1).

107288744993 is an equidigital number, since it uses as much as digits as its factorization.

107288744993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24385536, while the sum is 62.

The spelling of 107288744993 in words is "one hundred seven billion, two hundred eighty-eight million, seven hundred forty-four thousand, nine hundred ninety-three".