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112311316 = 221321729337
BaseRepresentation
bin1101011000110…
…11110000010100
321211100000011101
412230123300110
5212222430231
615051115444
72532426145
oct654336024
9254300141
10112311316
1158440177
1231742b84
131a364400
1410cb7acc
159cd7661
hex6b1bc14

112311316 has 72 divisors (see below), whose sum is σ = 233808120. Its totient is φ = 46964736.

The previous prime is 112311289. The next prime is 112311347. The reversal of 112311316 is 613113211.

It can be written as a sum of positive squares in 12 ways, for example, as 51408900 + 60902416 = 7170^2 + 7804^2 .

It is a super-2 number, since 2×1123113162 = 25227663403303712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112311293 and 112311302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 333100 + ... + 333436.

It is an arithmetic number, because the mean of its divisors is an integer number (3247335).

Almost surely, 2112311316 is an apocalyptic number.

It is an amenable number.

112311316 is an abundant number, since it is smaller than the sum of its proper divisors (121496804).

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

112311316 is a wasteful number, since it uses less digits than its factorization.

112311316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 112311316 is about 10597.7033361007. The cubic root of 112311316 is about 482.4746562435.

Adding to 112311316 its reverse (613113211), we get a palindrome (725424527).

The spelling of 112311316 in words is "one hundred twelve million, three hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 116 169 221 337 338 377 442 493 674 676 754 884 986 1348 1508 1972 2873 4381 4901 5729 5746 6409 8762 9773 9802 11458 11492 12818 17524 19546 19604 22916 25636 39092 56953 74477 83317 113906 127049 148954 166141 166634 227812 254098 297908 332282 333268 508196 664564 968201 1651637 1936402 2159833 3303274 3872804 4319666 6606548 8639332 28077829 56155658 112311316