Search a number
-
+
12131100314 = 27116185237
BaseRepresentation
bin10110100110001000…
…11110011010011010
31011022102210202011122
423103010132122122
5144321030202224
65323431325242
7606422436254
oct132304363232
934272722148
1012131100314
115165765243
122426820822
1311b4377088
148311c6cd4
154b001a15e
hex2d311e69a

12131100314 has 8 divisors (see below), whose sum is σ = 18197119668. Its totient is φ = 6065393760.

The previous prime is 12131100313. The next prime is 12131100341. The reversal of 12131100314 is 41300113121.

12131100314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11645647225 + 485453089 = 107915^2 + 22033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12131100292 and 12131100301.

It is not an unprimeable number, because it can be changed into a prime (12131100313) 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 3 ways as a sum of consecutive naturals, for example, 99704 + ... + 184940.

Almost surely, 212131100314 is an apocalyptic number.

12131100314 is a deficient number, since it is larger than the sum of its proper divisors (6066019354).

12131100314 is an equidigital number, since it uses as much as digits as its factorization.

12131100314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156400.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12131100314 its reverse (41300113121), we get a palindrome (53431213435).

The spelling of 12131100314 in words is "twelve billion, one hundred thirty-one million, one hundred thousand, three hundred fourteen".

Divisors: 1 2 71161 85237 142322 170474 6065550157 12131100314