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135312441 = 31137110821
BaseRepresentation
bin10000001000010…
…11010000111001
3100102121120202220
420010023100321
5234114444231
621232114253
73232064625
oct1004132071
9312546686
10135312441
116a420270
1239395989
1322058844
1413d84185
15bd2c896
hex810b439

135312441 has 16 divisors (see below), whose sum is σ = 202139328. Its totient is φ = 79790400.

The previous prime is 135312409. The next prime is 135312449. The reversal of 135312441 is 144213531.

It is a happy number.

It is not a de Polignac number, because 135312441 - 25 = 135312409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135312449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54190 + ... + 56631.

It is an arithmetic number, because the mean of its divisors is an integer number (12633708).

Almost surely, 2135312441 is an apocalyptic number.

135312441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135312441 is a deficient number, since it is larger than the sum of its proper divisors (66826887).

135312441 is a wasteful number, since it uses less digits than its factorization.

135312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110872.

The product of its digits is 1440, while the sum is 24.

The square root of 135312441 is about 11632.3875881093. The cubic root of 135312441 is about 513.3882321208.

Adding to 135312441 its reverse (144213531), we get a palindrome (279525972).

The spelling of 135312441 in words is "one hundred thirty-five million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 110821 332463 1219031 3657093 4100377 12301131 45104147 135312441