10034242031 has 16 divisors (see below), whose sum is σ = 11236129056. Its totient is φ = 8883600000.

The previous prime is 10034241989. The next prime is 10034242033. The reversal of 10034242031 is 13024243001.

It is not a de Polignac number, because 10034242031 - 2¹⁴ = 10034225647 is a prime.

It is a super-4 number, since 4×10034242031⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034241994 and 10034242012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034242033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6260 + ... + 141801.

It is an arithmetic number, because the mean of its divisors is an integer number (702258066).

Almost surely, 2^10034242031 is an apocalyptic number.

10034242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10034242031 is a deficient number, since it is larger than the sum of its proper divisors (1201887025).

10034242031 is a wasteful number, since it uses less digits than its factorization.

10034242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148234.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10034242031 its reverse (13024243001), we get a palindrome (23058485032).

The spelling of 10034242031 in words is "ten billion, thirty-four million, two hundred forty-two thousand, thirty-one".