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135289341 = 32119291471
BaseRepresentation
bin10000001000001…
…01100111111101
3100102120102002100
420010011213331
5234113224331
621231415313
73231640365
oct1004054775
9312512070
10135289341
116a404980
1239384539
132204b185
1413d799a5
15bd25ae6
hex81059fd

135289341 has 24 divisors (see below), whose sum is σ = 213557760. Its totient is φ = 81849600.

The previous prime is 135289339. The next prime is 135289351. The reversal of 135289341 is 143982531.

135289341 is a `hidden beast` number, since 1 + 3 + 528 + 93 + 41 = 666.

It is not a de Polignac number, because 135289341 - 21 = 135289339 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135289296 and 135289305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135289331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91236 + ... + 92706.

It is an arithmetic number, because the mean of its divisors is an integer number (8898240).

Almost surely, 2135289341 is an apocalyptic number.

135289341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135289341 is a deficient number, since it is larger than the sum of its proper divisors (78268419).

135289341 is a wasteful number, since it uses less digits than its factorization.

135289341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2414 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135289341 is about 11631.3946283324. The cubic root of 135289341 is about 513.3590159280.

The spelling of 135289341 in words is "one hundred thirty-five million, two hundred eighty-nine thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 929 1471 2787 4413 8361 10219 13239 16181 30657 48543 91971 145629 1366559 4099677 12299031 15032149 45096447 135289341