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11011211310020 = 2256112799171713
BaseRepresentation
bin1010000000111011111101…
…0101101011001111000100
31102222122212020201020101212
42200032333111223033010
52420401430043410040
635230251452510552
72214351036560345
oct240167725531704
942878766636355
1011011211310020
1135659127a5089
12129a06847b458
1361b4780658cc
142a0d345300cc
15141660a88d65
hexa03bf56b3c4

11011211310020 has 96 divisors (see below), whose sum is σ = 23711911673856. Its totient is φ = 4293770342400.

The previous prime is 11011211310013. The next prime is 11011211310079. The reversal of 11011211310020 is 2001311211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011211309977 and 11011211310004.

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, 153509684 + ... + 153581396.

It is an arithmetic number, because the mean of its divisors is an integer number (246999079936).

Almost surely, 211011211310020 is an apocalyptic number.

11011211310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011211310020 is an abundant number, since it is smaller than the sum of its proper divisors (12700700363836).

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

11011211310020 is a wasteful number, since it uses less digits than its factorization.

11011211310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72901 (or 72899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11011211310020 its reverse (2001311211011), we get a palindrome (13012522521031).

Subtracting from 11011211310020 its reverse (2001311211011), we obtain a palindrome (9009900099009).

The spelling of 11011211310020 in words is "eleven trillion, eleven billion, two hundred eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 127 244 254 305 508 610 635 991 1220 1270 1982 2540 3964 4955 7747 9910 15494 19820 30988 38735 60451 71713 77470 120902 125857 143426 154940 241804 251714 286852 302255 358565 503428 604510 629285 717130 1209020 1258570 1434260 2517140 4374493 7677277 8748986 9107551 15354554 17497972 18215102 21872465 30709108 36430204 38386385 43744930 45537755 71067583 76772770 87489860 91075510 142135166 153545540 182151020 284270332 355337915 555560611 710675830 1111121222 1421351660 2222242444 2777803055 4335122563 5555606110 8670245126 9025583041 11111212220 17340490252 18051166082 21675612815 36102332164 43351225630 45127915205 86702451260 90255830410 180511660820 550560565501 1101121131002 2202242262004 2752802827505 5505605655010 11011211310020