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135666666531 = 3311372333667
BaseRepresentation
bin111111001011001011…
…1010000110000100011
3110222011211202201202000
41332112113100300203
54210321131312111
6142154023255043
712541642432014
oct1762627206043
9428154681660
10135666666531
1152599329610
12223625aa483
13ca40ba1456
1467cdd0900b
1537e05a5c56
hex1f965d0c23

135666666531 has 48 divisors (see below), whose sum is σ = 225346020480. Its totient is φ = 79999760160.

The previous prime is 135666666529. The next prime is 135666666539.

135666666531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135666666531 - 21 = 135666666529 is a prime.

It is a super-2 number, since 2×1356666665312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135666666539) 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 47 ways as a sum of consecutive naturals, for example, 239760 + ... + 573426.

It is an arithmetic number, because the mean of its divisors is an integer number (4694708760).

Almost surely, 2135666666531 is an apocalyptic number.

135666666531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135666666531 is a deficient number, since it is larger than the sum of its proper divisors (89679353949).

135666666531 is a wasteful number, since it uses less digits than its factorization.

135666666531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333761 (or 333718 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

It can be divided in two parts, 135 and 666666531, that added together give a palindrome (666666666).

The spelling of 135666666531 in words is "one hundred thirty-five billion, six hundred sixty-six million, six hundred sixty-six thousand, five hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 1369 3663 4107 10989 12321 15059 36963 45177 135531 333667 406593 1001001 3003003 3670337 9009009 11011011 12345679 33033033 37037037 99099099 111111111 135802469 333333333 407407407 456790123 1222222221 1370370369 3666666663 4111111107 5024691353 12333333321 15074074059 45222222177 135666666531