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133193333 = 71313111173
BaseRepresentation
bin1111111000001…
…01111001110101
3100021121220220102
413330011321311
5233044141313
621114443445
73205060520
oct774057165
9307556812
10133193333
1169203139
1238733585
1321796130
1413991bb7
15ba5ea58
hex7f05e75

133193333 has 16 divisors (see below), whose sum is σ = 165196416. Its totient is φ = 104569920.

The previous prime is 133193327. The next prime is 133193339. The reversal of 133193333 is 333391331.

It is an interprime number because it is at equal distance from previous prime (133193327) and next prime (133193339).

It is a de Polignac number, because none of the positive numbers 2k-133193333 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 133193296 and 133193305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133193339) 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, 6335 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (10324776).

Almost surely, 2133193333 is an apocalyptic number.

133193333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133193333 is a deficient number, since it is larger than the sum of its proper divisors (32003083).

133193333 is a wasteful number, since it uses less digits than its factorization.

133193333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324.

The product of its digits is 6561, while the sum is 29.

The square root of 133193333 is about 11540.9415993670. The cubic root of 133193333 is about 510.6940863503.

The spelling of 133193333 in words is "one hundred thirty-three million, one hundred ninety-three thousand, three hundred thirty-three".

Divisors: 1 7 13 91 131 917 1703 11173 11921 78211 145249 1016743 1463663 10245641 19027619 133193333