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11235035130 = 23511225712043
BaseRepresentation
bin10100111011010100…
…10000011111111010
31001222222200220211020
422131222100133322
5141002132111010
65054501443310
7545262136314
oct123552203772
931888626736
1011235035130
114845980200
122216710536
1310a082a6a7
147881b27b4
1545b519470
hex29da907fa

11235035130 has 96 divisors (see below), whose sum is σ = 29756002752. Its totient is φ = 2712821760.

The previous prime is 11235035107. The next prime is 11235035131. The reversal of 11235035130 is 3153053211.

It is a self number, because there is not a number n which added to its sum of digits gives 11235035130.

It is not an unprimeable number, because it can be changed into a prime (11235035131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926889 + ... + 938931.

It is an arithmetic number, because the mean of its divisors is an integer number (309958362).

Almost surely, 211235035130 is an apocalyptic number.

11235035130 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 11235035130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878001376).

11235035130 is an abundant number, since it is smaller than the sum of its proper divisors (18520967622).

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

11235035130 is a wasteful number, since it uses less digits than its factorization.

11235035130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 11235035130 its reverse (3153053211), we get a palindrome (14388088341).

The spelling of 11235035130 in words is "eleven billion, two hundred thirty-five million, thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 257 330 363 514 605 726 771 1210 1285 1542 1815 2570 2827 3630 3855 5654 7710 8481 12043 14135 16962 24086 28270 31097 36129 42405 60215 62194 72258 84810 93291 120430 132473 155485 180645 186582 264946 310970 361290 397419 466455 662365 794838 932910 1324730 1457203 1987095 2914406 3095051 3974190 4371609 6190102 7286015 8743218 9285153 14572030 15475255 18570306 21858045 30950510 34045561 43716090 46425765 68091122 92851530 102136683 170227805 204273366 340455610 374501171 510683415 749002342 1021366830 1123503513 1872505855 2247007026 3745011710 5617517565 11235035130