Search a number
-
+
10032112031 = 37589745979
BaseRepresentation
bin10010101011111010…
…11110000110011111
3221220011012002112212
421111331132012133
5131021210041111
64335250551035
7503414355014
oct112575360637
927804162485
1010032112031
114288958287
121b3b89847b
13c3b551886
146b252170b
153dab0298b
hex255f5e19f

10032112031 has 8 divisors (see below), whose sum is σ = 10305221520. Its totient is φ = 9759106368.

The previous prime is 10032112021. The next prime is 10032112037. The reversal of 10032112031 is 13021123001.

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 10032112031 - 218 = 10031849887 is a prime.

It is a super-2 number, since 2×100321120312 (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 = 10032111997 and 10032112015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032112037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195200 + ... + 241178.

It is an arithmetic number, because the mean of its divisors is an integer number (1288152690).

Almost surely, 210032112031 is an apocalyptic number.

10032112031 is a deficient number, since it is larger than the sum of its proper divisors (273109489).

10032112031 is an equidigital number, since it uses as much as digits as its factorization.

10032112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51913.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10032112031 its reverse (13021123001), we get a palindrome (23053235032).

The spelling of 10032112031 in words is "ten billion, thirty-two million, one hundred twelve thousand, thirty-one".

Divisors: 1 37 5897 45979 218189 1701223 271138163 10032112031