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100641062117 is a prime number
BaseRepresentation
bin101110110111010101…
…1001011110011100101
3100121202211220200011002
41131232223023303211
53122103102441432
6114122303123045
710161656625161
oct1355653136345
9317684820132
10100641062117
113975528a602
12176085a3485
13964b58443b
144c2a255ca1
152940668e62
hex176eacbce5

100641062117 has 2 divisors, whose sum is σ = 100641062118. Its totient is φ = 100641062116.

The previous prime is 100641062113. The next prime is 100641062161. The reversal of 100641062117 is 711260146001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100454766916 + 186295201 = 316946^2 + 13649^2 .

It is a cyclic number.

It is not a de Polignac number, because 100641062117 - 22 = 100641062113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100641062117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100641062113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50320531058 + 50320531059.

It is an arithmetic number, because the mean of its divisors is an integer number (50320531059).

Almost surely, 2100641062117 is an apocalyptic number.

It is an amenable number.

100641062117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100641062117 is an equidigital number, since it uses as much as digits as its factorization.

100641062117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 100641062117 in words is "one hundred billion, six hundred forty-one million, sixty-two thousand, one hundred seventeen".