Search a number
-
+
13111431532353 = 3271118919814621
BaseRepresentation
bin1011111011001011111000…
…1110000000111101000001
31201102102220012120212212100
42332302332032000331001
53204304202433013403
643515150345021013
72522161332114510
oct276627616007501
951372805525770
1013111431532353
1141a55883162a0
1215790bba84769
1374153092438b
1433484d3a8677
1517b0d22a22a3
hexbecbe380f41

13111431532353 has 24 divisors (see below), whose sum is σ = 23611928648256. Its totient is φ = 6811133263200.

The previous prime is 13111431532343. The next prime is 13111431532399. The reversal of 13111431532353 is 35323513411131.

13111431532353 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 14 + 315 + 323 + 5 + 3 = 666.

It is not a de Polignac number, because 13111431532353 - 210 = 13111431531329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111431532343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9459906618 + ... + 9459908003.

It is an arithmetic number, because the mean of its divisors is an integer number (983830360344).

Almost surely, 213111431532353 is an apocalyptic number.

It is an amenable number.

13111431532353 is a deficient number, since it is larger than the sum of its proper divisors (10500497115903).

13111431532353 is a wasteful number, since it uses less digits than its factorization.

13111431532353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18919814645 (or 18919814642 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 13111431532353 its reverse (35323513411131), we get a palindrome (48434944943484).

The spelling of 13111431532353 in words is "thirteen trillion, one hundred eleven billion, four hundred thirty-one million, five hundred thirty-two thousand, three hundred fifty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 18919814621 56759443863 132438702347 170278331589 208117960831 397316107041 624353882493 1191948321123 1456825725817 1873061647479 4370477177451 13111431532353