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10112213213 is a prime number
BaseRepresentation
bin10010110101011110…
…00010000011011101
3222002201220122201022
421122233002003131
5131202211310323
64351231453525
7505406252114
oct113257020335
928081818638
1010112213213
11431a098503
121b626872a5
13c5201901b
146bd012c7b
153e2b764c8
hex25abc20dd

10112213213 has 2 divisors, whose sum is σ = 10112213214. Its totient is φ = 10112213212.

The previous prime is 10112213141. The next prime is 10112213219. The reversal of 10112213213 is 31231221101.

10112213213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9466900804 + 645312409 = 97298^2 + 25403^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112213213 - 230 = 9038471389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112213191 and 10112213200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112213219) 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, 5056106606 + 5056106607.

It is an arithmetic number, because the mean of its divisors is an integer number (5056106607).

Almost surely, 210112213213 is an apocalyptic number.

It is an amenable number.

10112213213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112213213 is an equidigital number, since it uses as much as digits as its factorization.

10112213213 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 17.

Adding to 10112213213 its reverse (31231221101), we get a palindrome (41343434314).

The spelling of 10112213213 in words is "ten billion, one hundred twelve million, two hundred thirteen thousand, two hundred thirteen".