242313511204205 has 40 divisors (see below), whose sum is σ = 350161271560704. Its totient is φ = 160797905805600.

The previous prime is 242313511204187. The next prime is 242313511204231. The reversal of 242313511204205 is 502402115313242.

It is not a de Polignac number, because 242313511204205 - 2¹² = 242313511200109 is a prime.

It is a super-2 number, since 2×242313511204205² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325182401 + ... + 325926710.

Almost surely, 2^{242313511204205} is an apocalyptic number.

It is an amenable number.

242313511204205 is a deficient number, since it is larger than the sum of its proper divisors (107847760356499).

242313511204205 is an frugal number, since it uses more digits than its factorization.

242313511204205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651109175 (or 651109154 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 242313511204205 its reverse (502402115313242), we get a palindrome (744715626517447).

The spelling of 242313511204205 in words is "two hundred forty-two trillion, three hundred thirteen billion, five hundred eleven million, two hundred four thousand, two hundred five".