Search a number
-
+
131102231013 = 32131120531889
BaseRepresentation
bin111101000011001001…
…1010100100111100101
3110112101201222101022200
41322012103110213211
54121444132343023
6140121051445113
712320556401565
oct1720623244745
9415351871280
10131102231013
1150666878656
12214a9a56799
13c494356b30
1464b9a28da5
1536249da743
hex1e864d49e5

131102231013 has 12 divisors (see below), whose sum is σ = 203936803980. Its totient is φ = 80678295936.

The previous prime is 131102231011. The next prime is 131102231033. The reversal of 131102231013 is 310132201131.

It can be written as a sum of positive squares in 2 ways, for example, as 8754783489 + 122347447524 = 93567^2 + 349782^2 .

It is not a de Polignac number, because 131102231013 - 21 = 131102231011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102231011) 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, 560265828 + ... + 560266061.

It is an arithmetic number, because the mean of its divisors is an integer number (16994733665).

Almost surely, 2131102231013 is an apocalyptic number.

131102231013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131102231013 is a deficient number, since it is larger than the sum of its proper divisors (72834572967).

131102231013 is a wasteful number, since it uses less digits than its factorization.

131102231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120531908 (or 1120531905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131102231013 its reverse (310132201131), we get a palindrome (441234432144).

The spelling of 131102231013 in words is "one hundred thirty-one billion, one hundred two million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 13 39 117 1120531889 3361595667 10084787001 14566914557 43700743671 131102231013