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133029871 = 1324173263
BaseRepresentation
bin1111110110111…
…01111111101111
3100021022121200021
413323131333233
5233023423441
621111143011
73203510122
oct773357757
9307277607
10133029871
1169101347
1238674a67
1321739900
141394c3b9
15ba2b3d1
hex7eddfef

133029871 has 24 divisors (see below), whose sum is σ = 150153696. Its totient is φ = 117711360.

The previous prime is 133029859. The next prime is 133029889. The reversal of 133029871 is 178920331.

It is not a de Polignac number, because 133029871 - 211 = 133027823 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133029821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505686 + ... + 505948.

It is an arithmetic number, because the mean of its divisors is an integer number (6256404).

Almost surely, 2133029871 is an apocalyptic number.

133029871 is a deficient number, since it is larger than the sum of its proper divisors (17123825).

133029871 is a wasteful number, since it uses less digits than its factorization.

133029871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 133029871 is about 11533.8575940576. The cubic root of 133029871 is about 510.4850837720.

The spelling of 133029871 in words is "one hundred thirty-three million, twenty-nine thousand, eight hundred seventy-one".

Divisors: 1 13 41 73 169 263 533 949 2993 3419 6929 10783 12337 19199 38909 44447 140179 249587 505817 787159 1822327 3244631 10233067 133029871