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131211104013 = 361116362527
BaseRepresentation
bin111101000110011001…
…0101000111100001101
3110112200022211201000000
41322030302220330031
54122210020312023
6140135541154513
712323350660563
oct1721462507415
9415608751000
10131211104013
115071227a540
122151a3bba39
13c4b0a86222
1464ca289a33
15362e344243
hex1e8cca8f0d

131211104013 has 28 divisors (see below), whose sum is σ = 214610917248. Its totient is φ = 79521876360.

The previous prime is 131211103997. The next prime is 131211104027. The reversal of 131211104013 is 310401112131.

It is a happy number.

131211104013 is a `hidden beast` number, since 131 + 21 + 110 + 401 + 3 = 666.

It is not a de Polignac number, because 131211104013 - 24 = 131211103997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211104083) 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 27 ways as a sum of consecutive naturals, for example, 8173245 + ... + 8189282.

It is an arithmetic number, because the mean of its divisors is an integer number (7664675616).

Almost surely, 2131211104013 is an apocalyptic number.

It is an amenable number.

131211104013 is a deficient number, since it is larger than the sum of its proper divisors (83399813235).

131211104013 is an equidigital number, since it uses as much as digits as its factorization.

131211104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362556 (or 16362541 counting only the distinct ones).

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

Adding to 131211104013 its reverse (310401112131), we get a palindrome (441612216144).

The spelling of 131211104013 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred four thousand, thirteen".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 891 2673 8019 16362527 49087581 147262743 179987797 441788229 539963391 1325364687 1619890173 3976094061 4859670519 11928282183 14579011557 43737034671 131211104013