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313103112 = 233711316493
BaseRepresentation
bin10010101010011…
…001001100001000
3210211011021201120
4102222121030020
51120123244422
651022515240
710521222030
oct2252311410
9724137646
10313103112
11150814003
1288a35b20
134cb37c1a
142d8248c0
151c74b45c
hex12a99308

313103112 has 64 divisors (see below), whose sum is σ = 902551680. Its totient is φ = 88660992.

The previous prime is 313103051. The next prime is 313103137. The reversal of 313103112 is 211301313.

It is a junction number, because it is equal to n+sod(n) for n = 313103091 and 313103100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10738 + ... + 27230.

It is an arithmetic number, because the mean of its divisors is an integer number (14102370).

Almost surely, 2313103112 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 313103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451275840).

313103112 is an abundant number, since it is smaller than the sum of its proper divisors (589448568).

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

313103112 is a wasteful number, since it uses less digits than its factorization.

313103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16618 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 313103112 is about 17694.7198904080. The cubic root of 313103112 is about 679.0406830256.

Adding to 313103112 its reverse (211301313), we get a palindrome (524404425).

The spelling of 313103112 in words is "three hundred thirteen million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 16493 18984 32986 49479 65972 98958 115451 131944 197916 230902 346353 395832 461804 692706 923608 1385412 1863709 2770824 3727418 5591127 7454836 11182254 13045963 14909672 22364508 26091926 39137889 44729016 52183852 78275778 104367704 156551556 313103112