10205023231 has 8 divisors (see below), whose sum is σ = 11047567104. Its totient is φ = 9370699680.

The previous prime is 10205023223. The next prime is 10205023259. The reversal of 10205023231 is 13232050201.

10205023231 is digitally balanced in base 2 and base 3, because in such bases 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 10205023231 - 2³ = 10205023223 is a prime.

It is a super-2 number, since 2×10205023231² (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 = 10205023199 and 10205023208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205023201) 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, 2052496 + ... + 2057461.

It is an arithmetic number, because the mean of its divisors is an integer number (1380945888).

Almost surely, 2^10205023231 is an apocalyptic number.

10205023231 is a deficient number, since it is larger than the sum of its proper divisors (842543873).

10205023231 is a wasteful number, since it uses less digits than its factorization.

10205023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110161.

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10205023231 its reverse (13232050201), we get a palindrome (23437073432).

The spelling of 10205023231 in words is "ten billion, two hundred five million, twenty-three thousand, two hundred thirty-one".