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2023130113 is a prime number
BaseRepresentation
bin111100010010110…
…1000010000000001
312012222212122202221
41320211220100001
513120410130423
6532430411041
7101064215344
oct17045502001
95188778687
102023130113
11949005664
12485660a81
132631b5414
1415299a45b
15bc930e5d
hex78968401

2023130113 has 2 divisors, whose sum is σ = 2023130114. Its totient is φ = 2023130112.

The previous prime is 2023130107. The next prime is 2023130129. The reversal of 2023130113 is 3110313202.

It is an a-pointer prime, because the next prime (2023130129) can be obtained adding 2023130113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1739140209 + 283989904 = 41703^2 + 16852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023130113 - 29 = 2023129601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023130173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011565056 + 1011565057.

It is an arithmetic number, because the mean of its divisors is an integer number (1011565057).

Almost surely, 22023130113 is an apocalyptic number.

It is an amenable number.

2023130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023130113 is an equidigital number, since it uses as much as digits as its factorization.

2023130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2023130113 is about 44979.2186792968. The cubic root of 2023130113 is about 1264.7594647515.

Adding to 2023130113 its reverse (3110313202), we get a palindrome (5133443315).

The spelling of 2023130113 in words is "two billion, twenty-three million, one hundred thirty thousand, one hundred thirteen".