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133630263 = 3313380713
BaseRepresentation
bin1111111011100…
…00100100110111
3100022110010021000
413331300210313
5233202132023
621132054343
73211560414
oct775604467
9308403230
10133630263
1169481438
12389043b3
13218b9c80
1413a6710b
15bae9243
hex7f70937

133630263 has 16 divisors (see below), whose sum is σ = 213199840. Its totient is φ = 82233792.

The previous prime is 133630261. The next prime is 133630271. The reversal of 133630263 is 362036331.

133630263 is a `hidden beast` number, since 1 + 3 + 3 + 630 + 26 + 3 = 666.

It is not a de Polignac number, because 133630263 - 21 = 133630261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133630261) 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, 190006 + ... + 190707.

It is an arithmetic number, because the mean of its divisors is an integer number (13324990).

Almost surely, 2133630263 is an apocalyptic number.

133630263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133630263 is a deficient number, since it is larger than the sum of its proper divisors (79569577).

133630263 is a wasteful number, since it uses less digits than its factorization.

133630263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380735 (or 380729 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 133630263 is about 11559.8556651889. The cubic root of 133630263 is about 511.2519071033.

Adding to 133630263 its reverse (362036331), we get a palindrome (495666594).

The spelling of 133630263 in words is "one hundred thirty-three million, six hundred thirty thousand, two hundred sixty-three".

Divisors: 1 3 9 13 27 39 117 351 380713 1142139 3426417 4949269 10279251 14847807 44543421 133630263