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133286013 = 3371494733
BaseRepresentation
bin1111111000111…
…00100001111101
3100021210122001000
413330130201331
5233110123023
621120440513
73205624650
oct774344175
9307718030
10133286013
1169266833
1238779139
13217c9383
14139b7897
15ba7c243
hex7f1c87d

133286013 has 32 divisors (see below), whose sum is σ = 227232000. Its totient is φ = 75636288.

The previous prime is 133286011. The next prime is 133286053. The reversal of 133286013 is 310682331.

It is a happy number.

133286013 is a `hidden beast` number, since 1 + 33 + 28 + 601 + 3 = 666.

It is not a de Polignac number, because 133286013 - 21 = 133286011 is a prime.

It is a super-2 number, since 2×1332860132 = 35530322522872338, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133286011) 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 31 ways as a sum of consecutive naturals, for example, 25795 + ... + 30527.

It is an arithmetic number, because the mean of its divisors is an integer number (7101000).

Almost surely, 2133286013 is an apocalyptic number.

It is an amenable number.

133286013 is a deficient number, since it is larger than the sum of its proper divisors (93945987).

133286013 is a wasteful number, since it uses less digits than its factorization.

133286013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133286013 is about 11544.9561714196. The cubic root of 133286013 is about 510.8125110816.

It can be divided in two parts, 133 and 286013, that added together give a triangular number (286146 = T756).

The spelling of 133286013 in words is "one hundred thirty-three million, two hundred eighty-six thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 149 189 447 1043 1341 3129 4023 4733 9387 14199 28161 33131 42597 99393 127791 298179 705217 894537 2115651 4936519 6346953 14809557 19040859 44428671 133286013