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133316512 = 2574313841
BaseRepresentation
bin1111111001000…
…11111110100000
3100021212011212121
413330203332200
5233112112022
621121234024
73206112610
oct774437640
9307764777
10133316512
116928773a
1238792914
132180a214
14139c4a40
15ba862c7
hex7f23fa0

133316512 has 48 divisors (see below), whose sum is σ = 306960192. Its totient is φ = 55802880.

The previous prime is 133316507. The next prime is 133316527. The reversal of 133316512 is 215613331.

It is a super-2 number, since 2×1333165122 = 35546584743692288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2712 + ... + 16552.

It is an arithmetic number, because the mean of its divisors is an integer number (6395004).

Almost surely, 2133316512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153480096).

133316512 is an abundant number, since it is smaller than the sum of its proper divisors (173643680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133316512 is a wasteful number, since it uses less digits than its factorization.

133316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13901 (or 13893 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 133316512 is about 11546.2769757182. The cubic root of 133316512 is about 510.8514701148.

Adding to 133316512 its reverse (215613331), we get a palindrome (348929843).

The spelling of 133316512 in words is "one hundred thirty-three million, three hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 13841 27682 55364 96887 110728 193774 221456 387548 442912 595163 775096 1190326 1550192 2380652 3100384 4166141 4761304 8332282 9522608 16664564 19045216 33329128 66658256 133316512