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135431345 = 5725211061
BaseRepresentation
bin10000001001010…
…00010010110001
3100102211121212202
420010220102301
5234132300340
621234432545
73233101400
oct1004502261
9312747782
10135431345
116a4a1635
1239432755
132209a9ba
1413db5637
15bd52c15
hex81284b1

135431345 has 24 divisors (see below), whose sum is σ = 189592488. Its totient is φ = 92601600.

The previous prime is 135431341. The next prime is 135431353. The reversal of 135431345 is 543134531.

It can be written as a sum of positive squares in 4 ways, for example, as 11242609 + 124188736 = 3353^2 + 11144^2 .

It is not a de Polignac number, because 135431345 - 22 = 135431341 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135431341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127115 + ... + 128175.

It is an arithmetic number, because the mean of its divisors is an integer number (7899687).

Almost surely, 2135431345 is an apocalyptic number.

It is an amenable number.

135431345 is a deficient number, since it is larger than the sum of its proper divisors (54161143).

135431345 is a wasteful number, since it uses less digits than its factorization.

135431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1594 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 135431345 is about 11637.4973684208. The cubic root of 135431345 is about 513.5385657785.

Adding to 135431345 its reverse (543134531), we get a palindrome (678565876).

The spelling of 135431345 in words is "one hundred thirty-five million, four hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 521 1061 2605 3647 5305 7427 18235 25529 37135 51989 127645 259945 552781 2763905 3869467 19347335 27086269 135431345