Search a number
-
+
111314412 = 22351129359
BaseRepresentation
bin1101010001010…
…00010111101100
321202110100200000
412220220113230
5211444030122
615013504300
72521104546
oct650502754
9252410600
10111314412
115791a190
1231342090
131a0a5721
1410ad8696
159b8c0ac
hex6a285ec

111314412 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 32477760.

The previous prime is 111314393. The next prime is 111314449. The reversal of 111314412 is 214413111.

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 309889 + ... + 310247.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2111314412 is an apocalyptic number.

111314412 is a gapful number since it is divisible by the number (12) 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 111314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

111314412 is an abundant number, since it is smaller than the sum of its proper divisors (218906388).

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

111314412 is a wasteful number, since it uses less digits than its factorization.

111314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111314412 is about 10550.5645346588. The cubic root of 111314412 is about 481.0428887404.

Adding to 111314412 its reverse (214413111), we get a palindrome (325727523).

The spelling of 111314412 in words is "one hundred eleven million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 243 261 297 319 324 348 359 396 486 522 594 638 718 783 891 957 972 1044 1077 1188 1276 1436 1566 1782 1914 2154 2349 2673 2871 3132 3231 3564 3828 3949 4308 4698 5346 5742 6462 7047 7898 8613 9396 9693 10411 10692 11484 11847 12924 14094 15796 17226 19386 20822 23694 25839 28188 29079 31233 34452 35541 38772 41644 47388 51678 58158 62466 71082 77517 87237 93699 103356 106623 114521 116316 124932 142164 155034 174474 187398 213246 229042 281097 310068 319869 343563 348948 374796 426492 458084 562194 639738 687126 843291 959607 1030689 1124388 1279476 1374252 1686582 1919214 2061378 2529873 3092067 3373164 3838428 4122756 5059746 6184134 9276201 10119492 12368268 18552402 27828603 37104804 55657206 111314412