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13115433451131 = 3211132479125769
BaseRepresentation
bin1011111011011010110011…
…0000000111111001111011
31201102211020002220102101100
42332312230300013321323
53204340401430414011
643521051424022443
72522362444632264
oct276665460077173
951384202812340
1013115433451131
1141a72512a0090
121579a38161a23
13741a1aa6825b
14334b0ca9b96b
1517b2687a5d56
hexbedacc07e7b

13115433451131 has 12 divisors (see below), whose sum is σ = 20666743620120. Its totient is φ = 7948747546080.

The previous prime is 13115433451091. The next prime is 13115433451139.

13115433451131 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 543 + 34 + 51 + 1 + 31 = 666.

13115433451131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13115433451131 - 26 = 13115433451067 is a prime.

It is a super-3 number, since 3×131154334511313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13115433451139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66239562786 + ... + 66239562983.

It is an arithmetic number, because the mean of its divisors is an integer number (1722228635010).

Almost surely, 213115433451131 is an apocalyptic number.

13115433451131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13115433451131 is a deficient number, since it is larger than the sum of its proper divisors (7551310168989).

13115433451131 is a wasteful number, since it uses less digits than its factorization.

13115433451131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132479125786 (or 132479125783 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 1311543 and 3451131, that added together give a palindrome (4762674).

The spelling of 13115433451131 in words is "thirteen trillion, one hundred fifteen billion, four hundred thirty-three million, four hundred fifty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 132479125769 397437377307 1192312131921 1457270383459 4371811150377 13115433451131