Search a number
-
+
133166133 = 334932079
BaseRepresentation
bin1111110111111…
…11010000110101
3100021120112121000
413323333100311
5233042304013
621114113513
73204615312
oct773772065
9307515530
10133166133
1169194761
123871b899
1321786939
1413985d09
15ba56973
hex7eff435

133166133 has 8 divisors (see below), whose sum is σ = 197283200. Its totient is φ = 88777404.

The previous prime is 133166129. The next prime is 133166147. The reversal of 133166133 is 331661331.

133166133 is a `hidden beast` number, since 1 + 33 + 16 + 613 + 3 = 666.

It is not a de Polignac number, because 133166133 - 22 = 133166129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4932079 = 133166133 / (1 + 3 + 3 + 1 + 6 + 6 + 1 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133166097 and 133166106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133166123) 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 7 ways as a sum of consecutive naturals, for example, 2466013 + ... + 2466066.

It is an arithmetic number, because the mean of its divisors is an integer number (24660400).

Almost surely, 2133166133 is an apocalyptic number.

It is an amenable number.

133166133 is a deficient number, since it is larger than the sum of its proper divisors (64117067).

133166133 is an equidigital number, since it uses as much as digits as its factorization.

133166133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932088 (or 4932082 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 133166133 is about 11539.7631258185. The cubic root of 133166133 is about 510.6593202838.

The spelling of 133166133 in words is "one hundred thirty-three million, one hundred sixty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 27 4932079 14796237 44388711 133166133