Search a number
-
+
12012103131201 = 34148297569521
BaseRepresentation
bin1010111011001100100100…
…1000111110000001000001
31120112100100010020212120000
42232303021020332001001
53033301241400144301
641314141202110213
72346563053642215
oct256631110760101
946470303225500
1012012103131201
113911339076478
12142003904b369
13691976023194
142d75631a4945
1515c6e0763786
hexaecc923e041

12012103131201 has 10 divisors (see below), whose sum is σ = 17944005912162. Its totient is φ = 8008068754080.

The previous prime is 12012103131157. The next prime is 12012103131247. The reversal of 12012103131201 is 10213130121021.

12012103131201 is a `hidden beast` number, since 1 + 20 + 1 + 210 + 313 + 120 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8393449151025 + 3618653980176 = 2897145^2 + 1902276^2 .

It is not a de Polignac number, because 12012103131201 - 215 = 12012103098433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012103131701) 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 9 ways as a sum of consecutive naturals, for example, 74148784680 + ... + 74148784841.

Almost surely, 212012103131201 is an apocalyptic number.

It is an amenable number.

12012103131201 is a deficient number, since it is larger than the sum of its proper divisors (5931902780961).

12012103131201 is an equidigital number, since it uses as much as digits as its factorization.

12012103131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148297569533 (or 148297569524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12012103131201 its reverse (10213130121021), we get a palindrome (22225233252222).

The spelling of 12012103131201 in words is "twelve trillion, twelve billion, one hundred three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 27 81 148297569521 444892708563 1334678125689 4004034377067 12012103131201