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135965053 = 7223311909
BaseRepresentation
bin10000001101010…
…10100101111101
3100110211201222201
420012222211331
5234301340203
621254111501
73240453400
oct1006524575
9313751881
10135965053
116a826614
123964b591
13222268c3
14140b3d37
15be0ae1d
hex81aa97d

135965053 has 12 divisors (see below), whose sum is σ = 158855580. Its totient is φ = 116031552.

The previous prime is 135965051. The next prime is 135965111. The reversal of 135965053 is 350569531.

135965053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36324729 + 99640324 = 6027^2 + 9982^2 .

It is not a de Polignac number, because 135965053 - 21 = 135965051 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135965051) 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, 5463 + ... + 17371.

It is an arithmetic number, because the mean of its divisors is an integer number (13237965).

Almost surely, 2135965053 is an apocalyptic number.

It is an amenable number.

135965053 is a deficient number, since it is larger than the sum of its proper divisors (22890527).

135965053 is a wasteful number, since it uses less digits than its factorization.

135965053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 37.

The square root of 135965053 is about 11660.4053531599. The cubic root of 135965053 is about 514.2122660357.

The spelling of 135965053 in words is "one hundred thirty-five million, nine hundred sixty-five thousand, fifty-three".

Divisors: 1 7 49 233 1631 11417 11909 83363 583541 2774797 19423579 135965053