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133203345 = 35111017993
BaseRepresentation
bin1111111000010…
…00010110010001
3100021122102122020
413330020112101
5233100001340
621115002053
73205131642
oct774102621
9307572566
10133203345
116920a710
1238739329
132179a862
14139956c9
15ba629d0
hex7f08591

133203345 has 32 divisors (see below), whose sum is σ = 234831744. Its totient is φ = 63936000.

The previous prime is 133203331. The next prime is 133203361. The reversal of 133203345 is 543302331.

It is a happy number.

It is not a de Polignac number, because 133203345 - 28 = 133203089 is a prime.

It is a super-3 number, since 3×1332033453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12669 + ... + 20661.

It is an arithmetic number, because the mean of its divisors is an integer number (7338492).

Almost surely, 2133203345 is an apocalyptic number.

133203345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133203345 is a deficient number, since it is larger than the sum of its proper divisors (101628399).

133203345 is a wasteful number, since it uses less digits than its factorization.

133203345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 133203345 is about 11541.3753513175. The cubic root of 133203345 is about 510.7068821386.

Adding to 133203345 its reverse (543302331), we get a palindrome (676505676).

The spelling of 133203345 in words is "one hundred thirty-three million, two hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 101 165 303 505 1111 1515 3333 5555 7993 16665 23979 39965 87923 119895 263769 439615 807293 1318845 2421879 4036465 8880223 12109395 26640669 44401115 133203345