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120313312 = 2574312491
BaseRepresentation
bin1110010101111…
…01010111100000
322101101112211121
413022331113200
5221300011222
615534422024
72660434450
oct712752740
9271345747
10120313312
1161a06199
1234361914
131bc06712
1411d9bd60
15a8685c7
hex72bd5e0

120313312 has 48 divisors (see below), whose sum is σ = 277022592. Its totient is φ = 50359680.

The previous prime is 120313309. The next prime is 120313337. The reversal of 120313312 is 213313021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 3387 + ... + 15877.

It is an arithmetic number, because the mean of its divisors is an integer number (5771304).

Almost surely, 2120313312 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 120313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138511296).

120313312 is an abundant number, since it is smaller than the sum of its proper divisors (156709280).

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

120313312 is a wasteful number, since it uses less digits than its factorization.

120313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 120313312 is about 10968.7424985729. The cubic root of 120313312 is about 493.6713161590.

Adding to 120313312 its reverse (213313021), we get a palindrome (333626333).

The spelling of 120313312 in words is "one hundred twenty million, three hundred thirteen thousand, three 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 12491 24982 49964 87437 99928 174874 199856 349748 399712 537113 699496 1074226 1398992 2148452 2797984 3759791 4296904 7519582 8593808 15039164 17187616 30078328 60156656 120313312