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133130011 = 725351263
BaseRepresentation
bin1111110111101…
…10011100011011
3100021111201001011
413323312130123
5233040130021
621113234351
73204405100
oct773663433
9307451034
10133130011
116916a603
12387029b7
1321773371
1413976aa7
15ba4ade1
hex7ef671b

133130011 has 12 divisors (see below), whose sum is σ = 157790592. Its totient is φ = 111956208.

The previous prime is 133129987. The next prime is 133130047. The reversal of 133130011 is 110031331.

It is a happy number.

It is not a de Polignac number, because 133130011 - 219 = 132605723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133129973 and 133130000.

It is not an unprimeable number, because it can be changed into a prime (133130051) 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 11 ways as a sum of consecutive naturals, for example, 23035 + ... + 28228.

It is an arithmetic number, because the mean of its divisors is an integer number (13149216).

Almost surely, 2133130011 is an apocalyptic number.

133130011 is a deficient number, since it is larger than the sum of its proper divisors (24660581).

133130011 is an equidigital number, since it uses as much as digits as its factorization.

133130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51330 (or 51323 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 133130011 is about 11538.1979095524. The cubic root of 133130011 is about 510.6131431173.

Adding to 133130011 its reverse (110031331), we get a palindrome (243161342).

The spelling of 133130011 in words is "one hundred thirty-three million, one hundred thirty thousand, eleven".

Divisors: 1 7 49 53 371 2597 51263 358841 2511887 2716939 19018573 133130011