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113842084813 is a prime number
BaseRepresentation
bin110101000000110000…
…1000101101111001101
3101212211211222002220121
41222001201011233031
53331122033203223
6124144234544541
711140053516622
oct1520141055715
9355754862817
10113842084813
1144309986316
121a091598151
13a9734aaa82
14571d58c349
152e6457815d
hex1a81845bcd

113842084813 has 2 divisors, whose sum is σ = 113842084814. Its totient is φ = 113842084812.

The previous prime is 113842084801. The next prime is 113842084831. The reversal of 113842084813 is 318480248311.

Together with next prime (113842084831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68182087689 + 45659997124 = 261117^2 + 213682^2 .

It is a cyclic number.

It is not a de Polignac number, because 113842084813 - 25 = 113842084781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113842084813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113842084313) 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, 56921042406 + 56921042407.

It is an arithmetic number, because the mean of its divisors is an integer number (56921042407).

Almost surely, 2113842084813 is an apocalyptic number.

It is an amenable number.

113842084813 is a deficient number, since it is larger than the sum of its proper divisors (1).

113842084813 is an equidigital number, since it uses as much as digits as its factorization.

113842084813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 113842084813 in words is "one hundred thirteen billion, eight hundred forty-two million, eighty-four thousand, eight hundred thirteen".