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133011024 = 24323211571
BaseRepresentation
bin1111110110110…
…01011001010000
3100021021122211020
413323121121100
5233022323044
621110515440
73203401146
oct773313120
9307248736
10133011024
1169099173
1238665b80
1321731163
1413945596
15ba25a19
hex7ed9650

133011024 has 80 divisors (see below), whose sum is σ = 360881664. Its totient is φ = 42134400.

The previous prime is 133011019. The next prime is 133011059. The reversal of 133011024 is 420110331.

133011024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133010994 and 133011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232659 + ... + 233229.

Almost surely, 2133011024 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 133011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180440832).

133011024 is an abundant number, since it is smaller than the sum of its proper divisors (227870640).

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

133011024 is a wasteful number, since it uses less digits than its factorization.

133011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133011024 is about 11533.0405357824. The cubic root of 133011024 is about 510.4609749842.

Adding to 133011024 its reverse (420110331), we get a palindrome (553121355).

The spelling of 133011024 in words is "one hundred thirty-three million, eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 211 276 368 422 552 571 633 844 1104 1142 1266 1688 1713 2284 2532 3376 3426 4568 4853 5064 6852 9136 9706 10128 13133 13704 14559 19412 26266 27408 29118 38824 39399 52532 58236 77648 78798 105064 116472 120481 157596 210128 232944 240962 315192 361443 481924 630384 722886 963848 1445772 1927696 2771063 2891544 5542126 5783088 8313189 11084252 16626378 22168504 33252756 44337008 66505512 133011024