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113013022021 is a prime number
BaseRepresentation
bin110100101000000011…
…0011101110101000101
3101210201001221100120021
41221100012131311011
53322422313201041
6123530101135141
711110365560134
oct1512006356505
9353631840507
10113013022021
1143a239a5159
1219a9b9ba4b1
13a8707c0683
14568141991b
152e168aecd1
hex1a5019dd45

113013022021 has 2 divisors, whose sum is σ = 113013022022. Its totient is φ = 113013022020.

The previous prime is 113013021977. The next prime is 113013022039. The reversal of 113013022021 is 120220310311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58486101921 + 54526920100 = 241839^2 + 233510^2 .

It is an emirp because it is prime and its reverse (120220310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113013022021 - 213 = 113013013829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113013021986 and 113013022004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113013052021) 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, 56506511010 + 56506511011.

It is an arithmetic number, because the mean of its divisors is an integer number (56506511011).

Almost surely, 2113013022021 is an apocalyptic number.

It is an amenable number.

113013022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013022021 is an equidigital number, since it uses as much as digits as its factorization.

113013022021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113013022021 its reverse (120220310311), we get a palindrome (233233332332).

The spelling of 113013022021 in words is "one hundred thirteen billion, thirteen million, twenty-two thousand, twenty-one".