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100000010813 is a prime number
BaseRepresentation
bin101110100100001110…
…1110001001000111101
3100120010011122220002012
41131020131301020331
53114300000321223
6113534523141005
710140044032013
oct1351035611075
9316104586065
10100000010813
113945644323a
1217469974765
139578814641
144ba90648b3
15290423cc78
hex174877123d

100000010813 has 2 divisors, whose sum is σ = 100000010814. Its totient is φ = 100000010812.

The previous prime is 100000010807. The next prime is 100000010849. The reversal of 100000010813 is 318010000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99854736004 + 145274809 = 315998^2 + 12053^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000010813 - 26 = 100000010749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000010863) 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, 50000005406 + 50000005407.

It is an arithmetic number, because the mean of its divisors is an integer number (50000005407).

Almost surely, 2100000010813 is an apocalyptic number.

It is an amenable number.

100000010813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000010813 is an equidigital number, since it uses as much as digits as its factorization.

100000010813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100000010813 its reverse (318010000001), we get a palindrome (418010010814).

The spelling of 100000010813 in words is "one hundred billion, ten thousand, eight hundred thirteen".