10117235041 has 16 divisors (see below), whose sum is σ = 10796696064. Its totient is φ = 9447439104.

The previous prime is 10117235039. The next prime is 10117235057. The reversal of 10117235041 is 14053271101.

It is not a de Polignac number, because 10117235041 - 2¹ = 10117235039 is a prime.

It is a super-3 number, since 3×10117235041³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10117234997 and 10117235015.

It is not an unprimeable number, because it can be changed into a prime (10117235641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159491 + ... + 1168183.

It is an arithmetic number, because the mean of its divisors is an integer number (674793504).

Almost surely, 2^10117235041 is an apocalyptic number.

It is an amenable number.

10117235041 is a deficient number, since it is larger than the sum of its proper divisors (679461023).

10117235041 is a wasteful number, since it uses less digits than its factorization.

10117235041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240.

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 10117235041 in words is "ten billion, one hundred seventeen million, two hundred thirty-five thousand, forty-one".