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133503012 = 223310112239
BaseRepresentation
bin1111111010100…
…01100000100100
3100022012122201000
413331101200210
5233134044022
621125233300
73210520416
oct775214044
9308178630
10133503012
11693a4875
1238862830
1321874086
1413a329b6
15bac16ac
hex7f51824

133503012 has 48 divisors (see below), whose sum is σ = 349574400. Its totient is φ = 44056800.

The previous prime is 133502977. The next prime is 133503043. The reversal of 133503012 is 210305331.

133503012 is a `hidden beast` number, since 13 + 350 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789 + ... + 17027.

It is an arithmetic number, because the mean of its divisors is an integer number (7282800).

Almost surely, 2133503012 is an apocalyptic number.

133503012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133503012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787200).

133503012 is an abundant number, since it is smaller than the sum of its proper divisors (216071388).

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

133503012 is a wasteful number, since it uses less digits than its factorization.

133503012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12345 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133503012 is about 11554.3503495437. The cubic root of 133503012 is about 511.0895736706.

Adding to 133503012 its reverse (210305331), we get a palindrome (343808343).

The spelling of 133503012 in words is "one hundred thirty-three million, five hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 12239 24478 36717 48956 73434 110151 146868 220302 330453 440604 660906 1236139 1321812 2472278 3708417 4944556 7416834 11125251 14833668 22250502 33375753 44501004 66751506 133503012