205341234030 has 64 divisors (see below), whose sum is σ = 576396460800. Its totient is φ = 51875678880.

The previous prime is 205341234029. The next prime is 205341234143. The reversal of 205341234030 is 30432143502.

205341234030 is a `hidden beast` number, since 2 + 0 + 534 + 123 + 4 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205341233985 and 205341234003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20008636 + ... + 20018895.

It is an arithmetic number, because the mean of its divisors is an integer number (9006194700).

Almost surely, 2^205341234030 is an apocalyptic number.

205341234030 is an abundant number, since it is smaller than the sum of its proper divisors (371055226770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205341234030 is a wasteful number, since it uses less digits than its factorization.

205341234030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40027566 (or 40027560 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 205341234030 its reverse (30432143502), we get a palindrome (235773377532).

The spelling of 205341234030 in words is "two hundred five billion, three hundred forty-one million, two hundred thirty-four thousand, thirty".