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133314033 = 31033171361
BaseRepresentation
bin1111111001000…
…11010111110001
3100021212001110210
413330203113301
5233112022113
621121214333
73206102436
oct774432761
9307761423
10133314033
1169285896
12387913a9
1321809058
14139c3b8d
15ba856c3
hex7f235f1

133314033 has 16 divisors (see below), whose sum is σ = 180176256. Its totient is φ = 87671040.

The previous prime is 133314031. The next prime is 133314047. The reversal of 133314033 is 330413331.

It is not a de Polignac number, because 133314033 - 21 = 133314031 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133314031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97273 + ... + 98633.

It is an arithmetic number, because the mean of its divisors is an integer number (11261016).

Almost surely, 2133314033 is an apocalyptic number.

It is an amenable number.

133314033 is a deficient number, since it is larger than the sum of its proper divisors (46862223).

133314033 is a wasteful number, since it uses less digits than its factorization.

133314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 133314033 is about 11546.1696245985. The cubic root of 133314033 is about 510.8483036938.

Adding to 133314033 its reverse (330413331), we get a palindrome (463727364).

The spelling of 133314033 in words is "one hundred thirty-three million, three hundred fourteen thousand, thirty-three".

Divisors: 1 3 103 309 317 951 1361 4083 32651 97953 140183 420549 431437 1294311 44438011 133314033