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11100122011020 = 2235728039428777
BaseRepresentation
bin1010000110000111001011…
…0101000101010110001100
31110022011100120212211012210
42201201302311011112030
52423331022213323040
635335154201430420
72223646241220150
oct241416265052614
943264316784183
1011100122011020
11359a59854a769
1212b334049b410
136269772b2b63
142a536a8b7060
15143b16495480
hexa1872d4558c

11100122011020 has 96 divisors (see below), whose sum is σ = 35533066480128. Its totient is φ = 2536265313792.

The previous prime is 11100122011019. The next prime is 11100122011067. The reversal of 11100122011020 is 2011022100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100122010987 and 11100122011005.

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 31 ways as a sum of consecutive naturals, for example, 3537129 + ... + 5891648.

It is an arithmetic number, because the mean of its divisors is an integer number (370136109168).

Almost surely, 211100122011020 is an apocalyptic number.

11100122011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100122011020 is an abundant number, since it is smaller than the sum of its proper divisors (24432944469108).

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

11100122011020 is a wasteful number, since it uses less digits than its factorization.

11100122011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431599 (or 9431597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100122011020 its reverse (2011022100111), we get a palindrome (13111144111131).

The spelling of 11100122011020 in words is "eleven trillion, one hundred billion, one hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2803 5606 8409 11212 14015 16818 19621 28030 33636 39242 42045 56060 58863 78484 84090 98105 117726 168180 196210 235452 294315 392420 588630 1177260 9428777 18857554 28286331 37715108 47143885 56572662 66001439 94287770 113145324 132002878 141431655 188575540 198004317 264005756 282863310 330007195 396008634 565726620 660014390 792017268 990021585 1320028780 1980043170 3960086340 26428861931 52857723862 79286585793 105715447724 132144309655 158573171586 185002033517 264288619310 317146343172 370004067034 396432928965 528577238620 555006100551 740008134068 792865857930 925010167585 1110012201102 1585731715860 1850020335170 2220024402204 2775030502755 3700040670340 5550061005510 11100122011020