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133413229 = 1718614217
BaseRepresentation
bin1111111001110…
…11100101101101
3100022001002112201
413330323211231
5233123210404
621123301501
73206664565
oct774734555
9308032481
10133413229
1169343374
123881a891
1321842251
1413a0bda5
15baa4ca4
hex7f3b96d

133413229 has 8 divisors (see below), whose sum is σ = 141370488. Its totient is φ = 125468160.

The previous prime is 133413211. The next prime is 133413233. The reversal of 133413229 is 922314331.

It can be written as a sum of positive squares in 4 ways, for example, as 18966025 + 114447204 = 4355^2 + 10698^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133413229 - 217 = 133282157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133413197 and 133413206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133413209) 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, 29529 + ... + 33745.

It is an arithmetic number, because the mean of its divisors is an integer number (17671311).

Almost surely, 2133413229 is an apocalyptic number.

It is an amenable number.

133413229 is a deficient number, since it is larger than the sum of its proper divisors (7957259).

133413229 is a wasteful number, since it uses less digits than its factorization.

133413229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095.

The product of its digits is 3888, while the sum is 28.

The square root of 133413229 is about 11550.4644495362. The cubic root of 133413229 is about 510.9749758925.

It can be divided in two parts, 1334132 and 29, that added together give a triangular number (1334161 = T1633).

The spelling of 133413229 in words is "one hundred thirty-three million, four hundred thirteen thousand, two hundred twenty-nine".

Divisors: 1 17 1861 4217 31637 71689 7847837 133413229