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112056318 = 23311712657
BaseRepresentation
bin1101010110111…
…01011111111110
321210212001101000
412223131133332
5212141300233
615041431130
72530314543
oct653353776
9253761330
10112056318
1158286630
123163b4a6
131a2a531a
1410c4cbca
159c86d13
hex6add7fe

112056318 has 64 divisors (see below), whose sum is σ = 275581440. Its totient is φ = 33465600.

The previous prime is 112056293. The next prime is 112056331. The reversal of 112056318 is 813650211.

112056318 is a `hidden beast` number, since 1 + 1 + 20 + 5 + 631 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112056291 and 112056300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40846 + ... + 43502.

It is an arithmetic number, because the mean of its divisors is an integer number (4305960).

Almost surely, 2112056318 is an apocalyptic number.

112056318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112056318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137790720).

112056318 is an abundant number, since it is smaller than the sum of its proper divisors (163525122).

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

112056318 is a wasteful number, since it uses less digits than its factorization.

112056318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112056318 is about 10585.6656852557. The cubic root of 112056318 is about 482.1092335776.

The spelling of 112056318 in words is "one hundred twelve million, fifty-six thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1562 1917 2343 2657 3834 4686 5314 7029 7971 14058 15942 21087 23913 29227 42174 47826 58454 71739 87681 143478 175362 188647 263043 377294 526086 565941 789129 1131882 1578258 1697823 2075117 3395646 4150234 5093469 6225351 10186938 12450702 18676053 37352106 56028159 112056318