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133850106 = 23213975897
BaseRepresentation
bin1111111101001…
…10001111111010
3100022212021211100
413332212033322
5233231200411
621140512230
73213464355
oct776461772
9308767740
10133850106
1169611625
12389ab676
1321966060
1413ac329c
15bb3e456
hex7fa63fa

133850106 has 48 divisors (see below), whose sum is σ = 315590184. Its totient is φ = 40753152.

The previous prime is 133850089. The next prime is 133850107. The reversal of 133850106 is 601058331.

133850106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116834481 + 17015625 = 10809^2 + 4125^2 .

It is a super-2 number, since 2×1338501062 = 35831701752422472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133850106.

It is not an unprimeable number, because it can be changed into a prime (133850107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19750 + ... + 25646.

Almost surely, 2133850106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133850106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157795092).

133850106 is an abundant number, since it is smaller than the sum of its proper divisors (181740078).

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

133850106 is a wasteful number, since it uses less digits than its factorization.

133850106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 133850106 is about 11569.3606564926. The cubic root of 133850106 is about 511.5321170168.

Subtracting 133850106 from its reverse (601058331), we obtain a square (467208225 = 216152).

It can be divided in two parts, 133850 and 106, that added together give a square (133956 = 3662).

The spelling of 133850106 in words is "one hundred thirty-three million, eight hundred fifty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 5897 7566 11349 11794 17691 22698 35382 53073 76661 106146 153322 229983 459966 572009 689949 1144018 1379898 1716027 3432054 5148081 7436117 10296162 14872234 22308351 44616702 66925053 133850106