Search a number
-
+
111133242 = 233111943229
BaseRepresentation
bin1101001111111…
…00001000111010
321202010011011000
412213330020322
5211422230432
615005545430
72516421423
oct647741072
9252104130
10111133242
1157806060
1231275276
131a04111c
1410a8c64a
159b5357c
hex69fc23a

111133242 has 128 divisors (see below), whose sum is σ = 291456000. Its totient is φ = 31026240.

The previous prime is 111133219. The next prime is 111133259. The reversal of 111133242 is 242331111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485184 + ... + 485412.

It is an arithmetic number, because the mean of its divisors is an integer number (2277000).

Almost surely, 2111133242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111133242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145728000).

111133242 is an abundant number, since it is smaller than the sum of its proper divisors (180322758).

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

111133242 is a wasteful number, since it uses less digits than its factorization.

111133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 111133242 is about 10541.9752418605. The cubic root of 111133242 is about 480.7817729152.

Adding to 111133242 its reverse (242331111), we get a palindrome (353464353).

The spelling of 111133242 in words is "one hundred eleven million, one hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 43 54 57 66 86 99 114 129 171 198 209 229 258 297 342 387 418 458 473 513 594 627 687 774 817 946 1026 1161 1254 1374 1419 1634 1881 2061 2322 2451 2519 2838 3762 4122 4257 4351 4902 5038 5643 6183 7353 7557 8514 8702 8987 9847 11286 12366 12771 13053 14706 15114 17974 19694 22059 22671 25542 26106 26961 29541 39159 44118 45342 47861 53922 59082 68013 78318 80883 88623 95722 108317 117477 136026 143583 161766 177246 187093 216634 234954 242649 265869 287166 324951 374186 430749 485298 531738 561279 649902 861498 974853 1122558 1292247 1683837 1949706 2058023 2584494 2924559 3367674 4116046 5051511 5849118 6174069 10103022 12348138 18522207 37044414 55566621 111133242