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133135106 = 21310334957
BaseRepresentation
bin1111110111101…
…11101100000010
3100021111222000212
413323313230002
5233040310411
621113314122
73204425666
oct773675402
9307458025
10133135106
1169173415
1238705942
1321775790
14139788a6
15ba4c68b
hex7ef7b02

133135106 has 16 divisors (see below), whose sum is σ = 215316024. Its totient is φ = 61375104.

The previous prime is 133135081. The next prime is 133135133. The reversal of 133135106 is 601531331.

It is a happy number.

133135106 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 131905225 + 1229881 = 11485^2 + 1109^2 .

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 7 ways as a sum of consecutive naturals, for example, 24380 + ... + 29336.

Almost surely, 2133135106 is an apocalyptic number.

133135106 is a deficient number, since it is larger than the sum of its proper divisors (82180918).

133135106 is a wasteful number, since it uses less digits than its factorization.

133135106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 133135106 is about 11538.4186958179. The cubic root of 133135106 is about 510.6196569022.

Adding to 133135106 its reverse (601531331), we get a palindrome (734666437).

The spelling of 133135106 in words is "one hundred thirty-three million, one hundred thirty-five thousand, one hundred six".

Divisors: 1 2 13 26 1033 2066 4957 9914 13429 26858 64441 128882 5120581 10241162 66567553 133135106