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11011101022220 = 22513167419605239
BaseRepresentation
bin1010000000111011100011…
…0000111101100000001100
31102222122120120012000222112
42200032320300331200030
52420401213330202340
635230232513003152
72214345230256515
oct240167060754014
942878516160875
1011011101022220
113565866517242
12129a0375534b8
1361b45b25c560
142a0d23a21a0c
15141656051065
hexa03b8c3d80c

11011101022220 has 96 divisors (see below), whose sum is σ = 25110971827200. Its totient is φ = 4031640417024.

The previous prime is 11011101022219. The next prime is 11011101022249. The reversal of 11011101022220 is 2222010111011.

It is a junction number, because it is equal to n+sod(n) for n = 11011101022195 and 11011101022204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17890361 + ... + 18495599.

It is an arithmetic number, because the mean of its divisors is an integer number (261572623200).

Almost surely, 211011101022220 is an apocalyptic number.

11011101022220 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 11011101022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555485913600).

11011101022220 is an abundant number, since it is smaller than the sum of its proper divisors (14099870804980).

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

11011101022220 is a wasteful number, since it uses less digits than its factorization.

11011101022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605847 (or 605845 counting only the distinct ones).

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

Adding to 11011101022220 its reverse (2222010111011), we get a palindrome (13233111133231).

The spelling of 11011101022220 in words is "eleven trillion, eleven billion, one hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 419 668 835 838 1670 1676 2095 2171 3340 4190 4342 5447 8380 8684 10855 10894 21710 21788 27235 43420 54470 69973 108940 139946 279892 349865 605239 699730 909649 1210478 1399460 1819298 2420956 3026195 3638596 4548245 6052390 7868107 9096490 12104780 15736214 18192980 31472428 39340535 78681070 101074913 157362140 202149826 253595141 404299652 505374565 507190282 1010749130 1014380564 1267975705 1313973869 2021498260 2535951410 2627947738 3296736833 5071902820 5255895476 6569869345 6593473666 13139738690 13186947332 16483684165 26279477380 32967368330 42350388547 65934736660 84700777094 169401554188 211751942735 423503885470 550555051111 847007770940 1101110102222 2202220204444 2752775255555 5505550511110 11011101022220