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135472113 = 32722771109
BaseRepresentation
bin10000001001100…
…10001111110001
3100102220200210200
420010302033301
5234140101423
621235345413
73233331300
oct1004621761
9312820720
10135472113
116a51a227
1239452269
13220b341a
1413dc6437
15bd5ed43
hex81323f1

135472113 has 36 divisors (see below), whose sum is σ = 228657780. Its totient is φ = 77063616.

The previous prime is 135472111. The next prime is 135472121. The reversal of 135472113 is 311274531.

135472113 is a `hidden beast` number, since 1 + 3 + 547 + 2 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 125283249 = 3192^2 + 11193^2 .

It is not a de Polignac number, because 135472113 - 21 = 135472111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135472111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121603 + ... + 122711.

It is an arithmetic number, because the mean of its divisors is an integer number (6351605).

Almost surely, 2135472113 is an apocalyptic number.

It is an amenable number.

135472113 is a deficient number, since it is larger than the sum of its proper divisors (93185667).

135472113 is a wasteful number, since it uses less digits than its factorization.

135472113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 135472113 is about 11639.2488159675. The cubic root of 135472113 is about 513.5900896456.

The spelling of 135472113 in words is "one hundred thirty-five million, four hundred seventy-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 277 441 831 1109 1939 2493 3327 5817 7763 9981 13573 17451 23289 40719 54341 69867 122157 163023 307193 489069 921579 2150351 2764737 6451053 15052457 19353159 45157371 135472113