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111313314 = 232717157331
BaseRepresentation
bin1101010001010…
…00000110100010
321202110022011100
412220220012202
5211444011224
615013455230
72521101420
oct650500642
9252408140
10111313314
1157919382
1231341516
131a0a5088
1410ad8110
159b8bac9
hex6a281a2

111313314 has 96 divisors (see below), whose sum is σ = 294592896. Its totient is φ = 29652480.

The previous prime is 111313313. The next prime is 111313327. The reversal of 111313314 is 413313111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111313313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336129 + ... + 336459.

It is an arithmetic number, because the mean of its divisors is an integer number (3068676).

Almost surely, 2111313314 is an apocalyptic number.

111313314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111313314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147296448).

111313314 is an abundant number, since it is smaller than the sum of its proper divisors (183279582).

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

111313314 is a wasteful number, since it uses less digits than its factorization.

111313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 111313314 is about 10550.5124994002. The cubic root of 111313314 is about 481.0413070739.

Adding to 111313314 its reverse (413313111), we get a palindrome (524626425).

The spelling of 111313314 in words is "one hundred eleven million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 157 238 306 314 331 357 471 662 714 942 993 1071 1099 1413 1986 2142 2198 2317 2669 2826 2979 3297 4634 5338 5627 5958 6594 6951 8007 9891 11254 13902 16014 16881 18683 19782 20853 24021 33762 37366 39389 41706 48042 50643 51967 56049 78778 101286 103934 112098 118167 155901 168147 236334 311802 336294 354501 363769 467703 709002 727538 883439 935406 1091307 1766878 2182614 2650317 3273921 5300634 6184073 6547842 7950951 12368146 15901902 18552219 37104438 55656657 111313314