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10011040213 is a prime number
BaseRepresentation
bin10010101001011010…
…00101100111010101
3221211200112112110011
421110231011213111
5131000311241323
64333215200221
7503040303106
oct112455054725
927750475404
1010011040213
114277a75759
121b34816071
13c37084645
146ad7d83ad
153d8d3e20d
hex254b459d5

10011040213 has 2 divisors, whose sum is σ = 10011040214. Its totient is φ = 10011040212.

The previous prime is 10011040199. The next prime is 10011040219. The reversal of 10011040213 is 31204011001.

10011040213 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., 7683749649 + 2327290564 = 87657^2 + 48242^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011040213 - 217 = 10010909141 is a prime.

It is a super-2 number, since 2×100110402132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011040193 and 10011040202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011040219) 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, 5005520106 + 5005520107.

It is an arithmetic number, because the mean of its divisors is an integer number (5005520107).

Almost surely, 210011040213 is an apocalyptic number.

It is an amenable number.

10011040213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011040213 is an equidigital number, since it uses as much as digits as its factorization.

10011040213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10011040213 its reverse (31204011001), we get a palindrome (41215051214).

The spelling of 10011040213 in words is "ten billion, eleven million, forty thousand, two hundred thirteen".