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11020122012020 = 22511373023447841
BaseRepresentation
bin1010000001011101001001…
…1101010011100101110100
31110000111212020202210120212
42200113102131103211310
52421023202213341040
635234324004044552
72215114616361362
oct240272235234564
943014766683525
1011020122012020
113569675644410
12129b934693758
1361c26817b644
142a153bb3c632
151419d2ec6d65
hexa05d2753974

11020122012020 has 96 divisors (see below), whose sum is σ = 25937059631616. Its totient is φ = 3897712742400.

The previous prime is 11020122012013. The next prime is 11020122012043. The reversal of 11020122012020 is 2021022102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020122011986 and 11020122012004.

It is a congruent number.

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, 24383300 + ... + 24831140.

It is an arithmetic number, because the mean of its divisors is an integer number (270177704496).

Almost surely, 211020122012020 is an apocalyptic number.

11020122012020 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 11020122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968529815808).

11020122012020 is an abundant number, since it is smaller than the sum of its proper divisors (14916937619596).

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

11020122012020 is a wasteful number, since it uses less digits than its factorization.

11020122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450921 (or 450919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020122012020 its reverse (2021022102011), we get a palindrome (13041144114031).

The spelling of 11020122012020 in words is "eleven trillion, twenty billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 3023 4070 6046 8140 12092 15115 30230 33253 60460 66506 111851 133012 166265 223702 332530 447404 447841 559255 665060 895682 1118510 1230361 1791364 2237020 2239205 2460722 4478410 4921444 4926251 6151805 8956820 9852502 12303610 16570117 19705004 24607220 24631255 33140234 49262510 66280468 82850585 98525020 165701170 182271287 331402340 364542574 729085148 911356435 1353823343 1822712870 2707646686 3645425740 5415293372 6769116715 13538233430 14892056773 27076466860 29784113546 50091463691 59568227092 74460283865 100182927382 148920567730 200365854764 250457318455 297841135460 500914636910 551006100601 1001829273820 1102012201202 2204024402404 2755030503005 5510061006010 11020122012020