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115131393 = 32131967773
BaseRepresentation
bin1101101110011…
…00010000000001
322000122021120200
412313030100001
5213433201033
615231355413
72565413016
oct667142001
9260567520
10115131393
1159a96a13
1232682b69
131ab10bb0
141140d70d
15a193013
hex6dcc401

115131393 has 48 divisors (see below), whose sum is σ = 191580480. Its totient is φ = 66033792.

The previous prime is 115131391. The next prime is 115131409. The reversal of 115131393 is 393131511.

115131393 is a `hidden beast` number, since 11 + 513 + 139 + 3 = 666.

It is not a de Polignac number, because 115131393 - 21 = 115131391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115131391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148555 + ... + 149327.

It is an arithmetic number, because the mean of its divisors is an integer number (3991260).

Almost surely, 2115131393 is an apocalyptic number.

115131393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

115131393 is a deficient number, since it is larger than the sum of its proper divisors (76449087).

115131393 is a wasteful number, since it uses less digits than its factorization.

115131393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 115131393 is about 10729.9297760983. The cubic root of 115131393 is about 486.4795474939.

The spelling of 115131393 in words is "one hundred fifteen million, one hundred thirty-one thousand, three hundred ninety-three".

Divisors: 1 3 9 13 19 39 57 67 117 171 201 247 603 741 773 871 1273 2223 2319 2613 3819 6957 7839 10049 11457 14687 16549 30147 44061 49647 51791 90441 132183 148941 155373 190931 466119 572793 673283 984029 1718379 2019849 2952087 6059547 8856261 12792377 38377131 115131393