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113214024 = 23347112269
BaseRepresentation
bin1101011111110…
…00001001001000
321220000212110000
412233320021020
5212440322044
615122323000
72543206020
oct657701110
9256025400
10113214024
11589a7410
1231ab9460
131a5bc261
1411070a80
159e14d69
hex6bf8248

113214024 has 160 divisors (see below), whose sum is σ = 395524800. Its totient is φ = 29393280.

The previous prime is 113214007. The next prime is 113214029. The reversal of 113214024 is 420412311.

It is a super-3 number, since 3×1132140243 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113213988 and 113214006.

It is not an unprimeable number, because it can be changed into a prime (113214029) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 48762 + ... + 51030.

It is an arithmetic number, because the mean of its divisors is an integer number (2472030).

Almost surely, 2113214024 is an apocalyptic number.

113214024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197762400).

113214024 is an abundant number, since it is smaller than the sum of its proper divisors (282310776).

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

113214024 is a wasteful number, since it uses less digits than its factorization.

113214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 113214024 is about 10640.2078927059. The cubic root of 113214024 is about 483.7638467282.

Adding to 113214024 its reverse (420412311), we get a palindrome (533626335).

The spelling of 113214024 in words is "one hundred thirteen million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2269 2376 2772 3564 4158 4536 4538 5544 6237 6807 7128 8316 9076 12474 13614 15883 16632 18152 20421 24948 24959 27228 31766 40842 47649 49896 49918 54456 61263 63532 74877 81684 95298 99836 122526 127064 142947 149754 163368 174713 183789 190596 199672 224631 245052 285894 299508 349426 367578 381192 428841 449262 490104 524139 571788 599016 673893 698852 735156 857682 898524 1048278 1143576 1286523 1347786 1397704 1470312 1572417 1715364 1797048 2021679 2096556 2573046 2695572 3144834 3430728 4043358 4193112 4717251 5146092 5391144 6289668 8086716 9434502 10292184 12579336 14151753 16173432 18869004 28303506 37738008 56607012 113214024