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11020410540 = 22325472834603
BaseRepresentation
bin10100100001101111…
…00001111010101100
31001110000211212020100
422100313201322230
5140032211114130
65021313351100
7540044641536
oct122067417254
931400755210
1011020410540
114745809607
122176868490
1310682228a9
147678a4856
15447771c60
hex290de1eac

11020410540 has 144 divisors (see below), whose sum is σ = 34267903488. Its totient is φ = 2865462912.

The previous prime is 11020410539. The next prime is 11020410593. The reversal of 11020410540 is 4501402011.

11020410540 is a `hidden beast` number, since 110 + 2 + 0 + 4 + 10 + 540 = 666.

11020410540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391879 + ... + 2396481.

It is an arithmetic number, because the mean of its divisors is an integer number (237971552).

Almost surely, 211020410540 is an apocalyptic number.

11020410540 is a gapful number since it is divisible by the number (10) 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 11020410540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133951744).

11020410540 is an abundant number, since it is smaller than the sum of its proper divisors (23247492948).

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

11020410540 is a wasteful number, since it uses less digits than its factorization.

11020410540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11020410540 its reverse (4501402011), we get a palindrome (15521812551).

The spelling of 11020410540 in words is "eleven billion, twenty million, four hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 283 423 470 564 566 705 846 849 940 1132 1410 1415 1692 1698 2115 2547 2820 2830 3396 4230 4245 4603 5094 5660 8460 8490 9206 10188 12735 13301 13809 16980 18412 23015 25470 26602 27618 39903 41427 46030 50940 53204 55236 66505 69045 79806 82854 92060 119709 133010 138090 159612 165708 199515 207135 216341 239418 266020 276180 399030 414270 432682 478836 598545 649023 798060 828540 865364 1081705 1197090 1298046 1302649 1947069 2163410 2394180 2596092 2605298 3245115 3894138 3907947 4326820 5210596 6490230 6513245 7788276 7815894 9735345 11723841 12980460 13026490 15631788 19470690 19539735 23447682 26052980 38941380 39079470 46895364 58619205 61224503 78158940 117238410 122449006 183673509 234476820 244898012 306122515 367347018 551020527 612245030 734694036 918367545 1102041054 1224490060 1836735090 2204082108 2755102635 3673470180 5510205270 11020410540