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113817386549 is a prime number
BaseRepresentation
bin110101000000000001…
…0110111111000110101
3101212210010111022021002
41222000002313320311
53331044222332144
6124141553333045
711136333552206
oct1520002677065
9355703438232
10113817386549
11442a6a47129
121a085267185
13a96b341009
14571a19d5ad
152e622ea14e
hex1a800b7e35

113817386549 has 2 divisors, whose sum is σ = 113817386550. Its totient is φ = 113817386548.

The previous prime is 113817386537. The next prime is 113817386597. The reversal of 113817386549 is 945683718311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85976795524 + 27840591025 = 293218^2 + 166855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113817386549 is a prime.

It is a super-2 number, since 2×1138173865492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113817386494 and 113817386503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113817386149) 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, 56908693274 + 56908693275.

It is an arithmetic number, because the mean of its divisors is an integer number (56908693275).

Almost surely, 2113817386549 is an apocalyptic number.

It is an amenable number.

113817386549 is a deficient number, since it is larger than the sum of its proper divisors (1).

113817386549 is an equidigital number, since it uses as much as digits as its factorization.

113817386549 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 56.

The spelling of 113817386549 in words is "one hundred thirteen billion, eight hundred seventeen million, three hundred eighty-six thousand, five hundred forty-nine".