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135785313 = 3215087257
BaseRepresentation
bin10000001011111…
…10101101100001
3100110111121102200
420011332231201
5234230112223
621250203413
73236104356
oct1005765541
9313447380
10135785313
116a713574
1239583569
1322192b51
141406862d
15bdc2a43
hex817eb61

135785313 has 6 divisors (see below), whose sum is σ = 196134354. Its totient is φ = 90523536.

The previous prime is 135785297. The next prime is 135785323. The reversal of 135785313 is 313587531.

It is a happy number.

135785313 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 only one way, i.e., 126495009 + 9290304 = 11247^2 + 3048^2 .

It is not a de Polignac number, because 135785313 - 24 = 135785297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135785323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7543620 + ... + 7543637.

It is an arithmetic number, because the mean of its divisors is an integer number (32689059).

Almost surely, 2135785313 is an apocalyptic number.

It is an amenable number.

135785313 is a deficient number, since it is larger than the sum of its proper divisors (60349041).

135785313 is a wasteful number, since it uses less digits than its factorization.

135785313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15087263 (or 15087260 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 135785313 is about 11652.6955250706. The cubic root of 135785313 is about 513.9855772220.

The spelling of 135785313 in words is "one hundred thirty-five million, seven hundred eighty-five thousand, three hundred thirteen".

Divisors: 1 3 9 15087257 45261771 135785313