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503300112 = 24378111847
BaseRepresentation
bin11101111111111…
…100000000010000
31022002001021221220
4131333330000100
52012321100422
6121535245040
715320660160
oct3577740020
91262037856
10503300112
11239110907
12120679780
138036c223
144abb45a0
152e2bae5c
hex1dffc010

503300112 has 80 divisors (see below), whose sum is σ = 1488571392. Its totient is φ = 143544960.

The previous prime is 503300059. The next prime is 503300123. The reversal of 503300112 is 211003305.

It is a happy number.

It is a super-2 number, since 2×5033001122 = 506622005478425088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503300091 and 503300100.

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, 271573 + ... + 273419.

Almost surely, 2503300112 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 503300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744285696).

503300112 is an abundant number, since it is smaller than the sum of its proper divisors (985271280).

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

503300112 is a wasteful number, since it uses less digits than its factorization.

503300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 503300112 is about 22434.3511606643. The cubic root of 503300112 is about 795.4428986582.

Adding to 503300112 its reverse (211003305), we get a palindrome (714303417).

The spelling of 503300112 in words is "five hundred three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 811 1622 1847 2433 3244 3694 4866 5541 5677 6488 7388 9732 11082 11354 12929 12976 14776 17031 19464 22164 22708 25858 29552 34062 38787 38928 44328 45416 51716 68124 77574 88656 90832 103432 136248 155148 206864 272496 310296 620592 1497917 2995834 4493751 5991668 8987502 10485419 11983336 17975004 20970838 23966672 31456257 35950008 41941676 62912514 71900016 83883352 125825028 167766704 251650056 503300112