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11103040410 = 23571120172383
BaseRepresentation
bin10100101011100101…
…01111001110011010
31001122210022220002220
422111302233032122
5140214334243120
65033424404510
7542100200130
oct122562571632
931583286086
1011103040410
114788416660
12219a476736
13107c393cc7
14774853750
1544eb44b40
hex295caf39a

11103040410 has 128 divisors (see below), whose sum is σ = 33253023744. Its totient is φ = 2305013760.

The previous prime is 11103040397. The next prime is 11103040439. The reversal of 11103040410 is 1404030111.

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 11103040410.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4658079 + ... + 4660461.

It is an arithmetic number, because the mean of its divisors is an integer number (259789248).

Almost surely, 211103040410 is an apocalyptic number.

11103040410 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 11103040410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626511872).

11103040410 is an abundant number, since it is smaller than the sum of its proper divisors (22149983334).

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

11103040410 is a wasteful number, since it uses less digits than its factorization.

11103040410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11103040410 its reverse (1404030111), we get a palindrome (12507070521).

The spelling of 11103040410 in words is "eleven billion, one hundred three million, forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2017 2310 2383 4034 4766 6051 7149 10085 11915 12102 14119 14298 16681 20170 22187 23830 26213 28238 30255 33362 35745 42357 44374 50043 52426 60510 66561 70595 71490 78639 83405 84714 100086 110935 131065 133122 141190 155309 157278 166810 183491 211785 221870 250215 262130 310618 332805 366982 393195 423570 465927 500430 550473 665610 776545 786390 917455 931854 1100946 1553090 1834910 2329635 2752365 4659270 4806511 5504730 9613022 14419533 24032555 28839066 33645577 48065110 52871621 67291154 72097665 100936731 105743242 144195330 158614863 168227885 201873462 264358105 317229726 336455770 370101347 504683655 528716210 740202694 793074315 1009367310 1110304041 1586148630 1850506735 2220608082 3701013470 5551520205 11103040410