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133281512 = 23713214083
BaseRepresentation
bin1111111000110…
…11011011101000
3100021210101212022
413330123123220
5233110002022
621120404012
73205605560
oct774333350
9307711768
10133281512
1169263411
1238776608
13217c7300
14139b5da0
15ba7ac42
hex7f1b6e8

133281512 has 48 divisors (see below), whose sum is σ = 309284640. Its totient is φ = 52723008.

The previous prime is 133281503. The next prime is 133281521. The reversal of 133281512 is 215182331.

133281512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133281503) and next prime (133281521).

It is a super-2 number, since 2×1332815122 = 35527922882012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2423 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (6443430).

Almost surely, 2133281512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133281512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154642320).

133281512 is an abundant number, since it is smaller than the sum of its proper divisors (176003128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133281512 is a wasteful number, since it uses less digits than its factorization.

133281512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14105 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 133281512 is about 11544.7612361625. The cubic root of 133281512 is about 510.8067610584.

The spelling of 133281512 in words is "one hundred thirty-three million, two hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 14083 28166 56332 98581 112664 183079 197162 366158 394324 732316 788648 1281553 1464632 2380027 2563106 4760054 5126212 9520108 10252424 16660189 19040216 33320378 66640756 133281512