213424000029 has 24 divisors (see below), whose sum is σ = 316736448600. Its totient is φ = 138382328448.

The previous prime is 213424000007. The next prime is 213424000051. The reversal of 213424000029 is 920000424312.

213424000029 is a `hidden beast` number, since 213 + 42 + 400 + 0 + 0 + 2 + 9 = 666.

213424000029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213424000007) and next prime (213424000051).

It can be written as a sum of positive squares in 4 ways, for example, as 59987275929 + 153436724100 = 244923^2 + 391710^2 .

It is not a de Polignac number, because 213424000029 - 2²⁰ = 213422951453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213423999966 and 213424000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424000429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723099 + ... + 974535.

It is an arithmetic number, because the mean of its divisors is an integer number (13197352025).

Almost surely, 2^213424000029 is an apocalyptic number.

It is an amenable number.

213424000029 is a deficient number, since it is larger than the sum of its proper divisors (103312448571).

213424000029 is a wasteful number, since it uses less digits than its factorization.

213424000029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254029 (or 254026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 213424000029 in words is "two hundred thirteen billion, four hundred twenty-four million, twenty-nine", and thus it is an aban number.