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11024041110 = 2351923732729
BaseRepresentation
bin10100100010001010…
…11000010010010110
31001110021200022102220
422101011120102112
5140034123303420
65021523243210
7540120542355
oct122105302226
931407608386
1011024041110
114747869285
122177b19506
131068bc4264
1476816b99c
15447c3c840
hex291158496

11024041110 has 96 divisors (see below), whose sum is σ = 28008620640. Its totient is φ = 2776536576.

The previous prime is 11024041087. The next prime is 11024041117. The reversal of 11024041110 is 1114042011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11024041110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024041117) 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 47 ways as a sum of consecutive naturals, for example, 4038226 + ... + 4040954.

It is an arithmetic number, because the mean of its divisors is an integer number (291756465).

Almost surely, 211024041110 is an apocalyptic number.

11024041110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11024041110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004310320).

11024041110 is an abundant number, since it is smaller than the sum of its proper divisors (16984579530).

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

11024041110 is a wasteful number, since it uses less digits than its factorization.

11024041110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11024041110 its reverse (1114042011), we get a palindrome (12138083121).

Subtracting from 11024041110 its reverse (1114042011), we obtain a palindrome (9909999099).

The spelling of 11024041110 in words is "eleven billion, twenty-four million, forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 373 570 722 746 1083 1119 1805 1865 2166 2238 2729 3610 3730 5415 5458 5595 7087 8187 10830 11190 13645 14174 16374 21261 27290 35435 40935 42522 51851 70870 81870 103702 106305 134653 155553 212610 259255 269306 311106 403959 518510 673265 777765 807918 985169 1017917 1346530 1555530 1970338 2019795 2035834 2955507 3053751 4039590 4925845 5089585 5911014 6107502 9851690 10179170 14777535 15268755 19340423 29555070 30537510 38680846 58021269 96702115 116042538 193404230 290106345 367468037 580212690 734936074 1102404111 1837340185 2204808222 3674680370 5512020555 11024041110