242011131535105 has 8 divisors (see below), whose sum is σ = 300427611561000. Its totient is φ = 186932736082176.

The previous prime is 242011131535087. The next prime is 242011131535123. The reversal of 242011131535105 is 501535131110242.

It is an interprime number because it is at equal distance from previous prime (242011131535087) and next prime (242011131535123).

It can be written as a sum of positive squares in 4 ways, for example, as 47696648188176 + 194314483346929 = 6906276^2 + 13939673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242011131535105 - 2²⁹ = 242010594664193 is a prime.

It is a super-3 number, since 3×242011131535105³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834521143080 + ... + 834521143369.

It is an arithmetic number, because the mean of its divisors is an integer number (37553451445125).

Almost surely, 2^{242011131535105} is an apocalyptic number.

It is an amenable number.

242011131535105 is a deficient number, since it is larger than the sum of its proper divisors (58416480025895).

242011131535105 is a wasteful number, since it uses less digits than its factorization.

242011131535105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669042286483.

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 242011131535105 its reverse (501535131110242), we get a palindrome (743546262645347).

The spelling of 242011131535105 in words is "two hundred forty-two trillion, eleven billion, one hundred thirty-one million, five hundred thirty-five thousand, one hundred five".