10205450335242 has 32 divisors (see below), whose sum is σ = 22687471353600. Its totient is φ = 3400512853824.

The previous prime is 10205450335237. The next prime is 10205450335271. The reversal of 10205450335242 is 24253305450201.

10205450335242 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 54 + 50 + 33 + 524 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10205450335197 and 10205450335206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36077938 + ... + 36359709.

It is an arithmetic number, because the mean of its divisors is an integer number (708983479800).

Almost surely, 2^{10205450335242} is an apocalyptic number.

10205450335242 is an abundant number, since it is smaller than the sum of its proper divisors (12482021018358).

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

10205450335242 is a wasteful number, since it uses less digits than its factorization.

10205450335242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72440267 (or 72440261 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10205450335242 its reverse (24253305450201), we get a palindrome (34458755785443).

The spelling of 10205450335242 in words is "ten trillion, two hundred five billion, four hundred fifty million, three hundred thirty-five thousand, two hundred forty-two".