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11011012120220 = 2257821507718869
BaseRepresentation
bin1010000000111011001101…
…1101110100111010011100
31102222122100100220100100212
42200032303131310322130
52420401023100321340
635230220015311552
72214343100516150
oct240166335647234
942878310810325
1011011012120220
113565820315912
12129a01181b5b8
1361b445a03318
142a0d15cbd060
1514164d33ea65
hexa03b3774e9c

11011012120220 has 96 divisors (see below), whose sum is σ = 26465231157120. Its totient is φ = 3769663380480.

The previous prime is 11011012120159. The next prime is 11011012120279. The reversal of 11011012120220 is 2202121011011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11011012120195 and 11011012120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583540946 + ... + 583559814.

It is an arithmetic number, because the mean of its divisors is an integer number (275679491220).

Almost surely, 211011012120220 is an apocalyptic number.

11011012120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011012120220 is an abundant number, since it is smaller than the sum of its proper divisors (15454219036900).

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

11011012120220 is a wasteful number, since it uses less digits than its factorization.

11011012120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24783 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11011012120220 its reverse (2202121011011), we get a palindrome (13213133131231).

The spelling of 11011012120220 in words is "eleven trillion, eleven billion, twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 821 1642 3284 4105 5077 5747 8210 10154 11494 16420 18869 20308 22988 25385 28735 35539 37738 50770 57470 71078 75476 94345 101540 114940 132083 142156 177695 188690 264166 355390 377380 528332 660415 710780 1320830 2641660 4168217 8336434 15491449 16672868 20841085 29177519 30982898 41682170 58355038 61965796 77457245 83364340 95797913 108440143 116710076 145887595 154914490 191595826 216880286 291775190 309828980 383191652 433760572 478989565 542200715 583550380 670585391 957979130 1084401430 1341170782 1915958260 2168802860 2682341564 3352926955 6705853910 13411707820 78650086573 157300173146 314600346292 393250432865 550550606011 786500865730 1101101212022 1573001731460 2202202424044 2752753030055 5505506060110 11011012120220