Search a number
-
+
31131212121 = 3211932899433
BaseRepresentation
bin11100111111100100…
…001001100101011001
32222100120212102200100
4130333210021211121
51002224042241441
622145041530013
72151313636242
oct347744114531
988316772610
1031131212121
1112225837489
126049943909
132c21853699
14171478dcc9
15c230c7cb6
hex73f909959

31131212121 has 12 divisors (see below), whose sum is σ = 45005014548. Its totient is φ = 20736737664.

The previous prime is 31131212083. The next prime is 31131212143. The reversal of 31131212121 is 12121213113.

31131212121 is a `hidden beast` number, since 311 + 312 + 1 + 21 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15770336400 + 15360875721 = 125580^2 + 123939^2 .

It is not a de Polignac number, because 31131212121 - 29 = 31131211609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31131212094 and 31131212103.

It is not an unprimeable number, because it can be changed into a prime (31131252121) 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 11 ways as a sum of consecutive naturals, for example, 1438980 + ... + 1460453.

It is an arithmetic number, because the mean of its divisors is an integer number (3750417879).

Almost surely, 231131212121 is an apocalyptic number.

It is an amenable number.

31131212121 is a deficient number, since it is larger than the sum of its proper divisors (13873802427).

31131212121 is a wasteful number, since it uses less digits than its factorization.

31131212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900632 (or 2900629 counting only the distinct ones).

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

Adding to 31131212121 its reverse (12121213113), we get a palindrome (43252425234).

The spelling of 31131212121 in words is "thirty-one billion, one hundred thirty-one million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 1193 3579 10737 2899433 8698299 26094897 3459023569 10377070707 31131212121