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133121205 = 3357140869
BaseRepresentation
bin1111110111101…
…00010010110101
3100021111020222000
413323310102311
5233034334310
621113125513
73204340320
oct773642265
9307436860
10133121205
1169163a28
12386b9899
132176c359
14139737b7
15ba484c0
hex7ef44b5

133121205 has 32 divisors (see below), whose sum is σ = 270470400. Its totient is φ = 60854976.

The previous prime is 133121189. The next prime is 133121257. The reversal of 133121205 is 502121331.

It is not a de Polignac number, because 133121205 - 24 = 133121189 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 69490 + ... + 71379.

It is an arithmetic number, because the mean of its divisors is an integer number (8452200).

Almost surely, 2133121205 is an apocalyptic number.

133121205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133121205 is an abundant number, since it is smaller than the sum of its proper divisors (137349195).

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

133121205 is a wasteful number, since it uses less digits than its factorization.

133121205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140890 (or 140884 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133121205 is about 11537.8163011898. The cubic root of 133121205 is about 510.6018845527.

Adding to 133121205 its reverse (502121331), we get a palindrome (635242536).

The spelling of 133121205 in words is "one hundred thirty-three million, one hundred twenty-one thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 140869 422607 704345 986083 1267821 2113035 2958249 3803463 4930415 6339105 8874747 14791245 19017315 26624241 44373735 133121205