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10010111213 is a prime number
BaseRepresentation
bin10010101001010011…
…00010110011101101
3221211121210100002202
421110221202303231
5131000042024323
64333143231245
7503026353464
oct112451426355
927747710082
1010010111213
1142774a0793
121b34448525
13c36b1a83b
146ad6359db
153d8c08d28
hex254a62ced

10010111213 has 2 divisors, whose sum is σ = 10010111214. Its totient is φ = 10010111212.

The previous prime is 10010111191. The next prime is 10010111227. The reversal of 10010111213 is 31211101001.

It is a happy number.

10010111213 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., 8869495684 + 1140615529 = 94178^2 + 33773^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010111213 - 26 = 10010111149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010111194 and 10010111203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010111233) 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, 5005055606 + 5005055607.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055607).

Almost surely, 210010111213 is an apocalyptic number.

It is an amenable number.

10010111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111213 is an equidigital number, since it uses as much as digits as its factorization.

10010111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10010111213 its reverse (31211101001), we get a palindrome (41221212214).

The spelling of 10010111213 in words is "ten billion, ten million, one hundred eleven thousand, two hundred thirteen".