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133126629 = 3379291291
BaseRepresentation
bin1111110111101…
…01100111100101
3100021111112101220
413323311213211
5233040023004
621113210553
73204362166
oct773654745
9307445356
10133126629
1169168009
1238700a59
132177196c
141397576d
15ba49dd9
hex7ef59e5

133126629 has 16 divisors (see below), whose sum is σ = 182637120. Its totient is φ = 86192640.

The previous prime is 133126627. The next prime is 133126639. The reversal of 133126629 is 926621331.

It is not a de Polignac number, because 133126629 - 21 = 133126627 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133126629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133126627) 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 15 ways as a sum of consecutive naturals, for example, 102474 + ... + 103764.

It is an arithmetic number, because the mean of its divisors is an integer number (11414820).

Almost surely, 2133126629 is an apocalyptic number.

It is an amenable number.

133126629 is a deficient number, since it is larger than the sum of its proper divisors (49510491).

133126629 is a wasteful number, since it uses less digits than its factorization.

133126629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260.

The product of its digits is 11664, while the sum is 33.

The square root of 133126629 is about 11538.0513519398. The cubic root of 133126629 is about 510.6088192531.

The spelling of 133126629 in words is "one hundred thirty-three million, one hundred twenty-six thousand, six hundred twenty-nine".

Divisors: 1 3 37 111 929 1291 2787 3873 34373 47767 103119 143301 1199339 3598017 44375543 133126629