10000461731 has 8 divisors (see below), whose sum is σ = 10772861904. Its totient is φ = 9228509280.

The previous prime is 10000461689. The next prime is 10000461743. The reversal of 10000461731 is 13716400001.

10000461731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10000461731 - 2¹⁰ = 10000460707 is a prime.

It is a super-2 number, since 2×10000461731² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000461697 and 10000461706.

It is not an unprimeable number, because it can be changed into a prime (10000461781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64796 + ... + 155561.

It is an arithmetic number, because the mean of its divisors is an integer number (1346607738).

Almost surely, 2^10000461731 is an apocalyptic number.

10000461731 is a deficient number, since it is larger than the sum of its proper divisors (772400173).

10000461731 is a wasteful number, since it uses less digits than its factorization.

10000461731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223861.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 10000461731 its reverse (13716400001), we get a palindrome (23716861732).

The spelling of 10000461731 in words is "ten billion, four hundred sixty-one thousand, seven hundred thirty-one".