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13131204111 = 35411936829
BaseRepresentation
bin11000011101010111…
…00100011000001111
31020220010200021200000
430032223210120033
5203343042012421
610010555135343
7643255251624
oct141653443017
936803607600
1013131204111
11562924a003
122665744553
13131361c57c
148c7d6034b
1551cc1c226
hex30eae460f

13131204111 has 48 divisors (see below), whose sum is σ = 20256905760. Its totient is φ = 8495124480.

The previous prime is 13131204071. The next prime is 13131204143. The reversal of 13131204111 is 11140213131.

It is a happy number.

13131204111 is a `hidden beast` number, since 131 + 3 + 120 + 411 + 1 = 666.

13131204111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131204111 - 27 = 13131203983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131204511) 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 47 ways as a sum of consecutive naturals, for example, 1919445 + ... + 1926273.

It is an arithmetic number, because the mean of its divisors is an integer number (422018870).

Almost surely, 213131204111 is an apocalyptic number.

13131204111 is a deficient number, since it is larger than the sum of its proper divisors (7125701649).

13131204111 is an equidigital number, since it uses as much as digits as its factorization.

13131204111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7066 counting only the distinct ones).

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

Adding to 13131204111 its reverse (11140213131), we get a palindrome (24271417242).

The spelling of 13131204111 in words is "thirteen billion, one hundred thirty-one million, two hundred four thousand, one hundred eleven".

Divisors: 1 3 9 27 41 81 123 193 243 369 579 1107 1737 3321 5211 6829 7913 9963 15633 20487 23739 46899 61461 71217 184383 213651 279989 553149 640953 839967 1317997 1659447 1922859 2519901 3953991 7559703 11861973 22679109 35585919 54037877 68037327 106757757 162113631 320273271 486340893 1459022679 4377068037 13131204111