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135093441 = 3721754059
BaseRepresentation
bin10000000110101…
…01110011000001
3100102012110100210
420003111303001
5234040442231
621223304333
73230163300
oct1003256301
9312173323
10135093441
116a29077a
12392ab0a9
1321cacc62
1413d28437
15bcd7a46
hex80d5cc1

135093441 has 24 divisors (see below), whose sum is σ = 221862240. Its totient is φ = 72653952.

The previous prime is 135093437. The next prime is 135093457. The reversal of 135093441 is 144390531.

It is not a de Polignac number, because 135093441 - 22 = 135093437 is a prime.

It is a super-3 number, since 3×1350934413 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135093399 and 135093408.

It is not an unprimeable number, because it can be changed into a prime (135091441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24531 + ... + 29528.

It is an arithmetic number, because the mean of its divisors is an integer number (9244260).

Almost surely, 2135093441 is an apocalyptic number.

It is an amenable number.

135093441 is a deficient number, since it is larger than the sum of its proper divisors (86768799).

135093441 is a wasteful number, since it uses less digits than its factorization.

135093441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54093 (or 54086 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135093441 is about 11622.9704034726. The cubic root of 135093441 is about 513.1111136415. Note that the first 5 decimals are identical.

The spelling of 135093441 in words is "one hundred thirty-five million, ninety-three thousand, four hundred forty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 54059 162177 378413 919003 1135239 2648891 2757009 6433021 7946673 19299063 45031147 135093441