Search a number
-
+
10131330113 = 13972887267
BaseRepresentation
bin10010110111101111…
…11101010001000001
3222011001212220011122
421123313331101001
5131222110030423
64353153322025
7506030612402
oct113367752101
928131786148
1010131330113
1143299652a3
121b68b66315
13c55c804b8
146c178b9a9
153e46a08c8
hex25bdfd441

10131330113 has 4 divisors (see below), whose sum is σ = 10204217520. Its totient is φ = 10058442708.

The previous prime is 10131330109. The next prime is 10131330151. The reversal of 10131330113 is 31103313101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10131330113 - 22 = 10131330109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10131330091 and 10131330100.

It is not an unprimeable number, because it can be changed into a prime (10131330163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36443495 + ... + 36443772.

It is an arithmetic number, because the mean of its divisors is an integer number (2551054380).

Almost surely, 210131330113 is an apocalyptic number.

It is an amenable number.

10131330113 is a deficient number, since it is larger than the sum of its proper divisors (72887407).

10131330113 is an equidigital number, since it uses as much as digits as its factorization.

10131330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72887406.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10131330113 its reverse (31103313101), we get a palindrome (41234643214).

The spelling of 10131330113 in words is "ten billion, one hundred thirty-one million, three hundred thirty thousand, one hundred thirteen".

Divisors: 1 139 72887267 10131330113