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1100013000020 = 2251117909132353
BaseRepresentation
bin10000000000011101111…
…000100101010101010100
310220011022210112020101222
4100000131320211111110
5121010311312000040
62201201120105512
7142321230140324
oct20003570452524
93804283466358
101100013000020
11394570730110
12159234165298
137c9666aa4ac
143b3530cd284
151d931bbcbb5
hex1001de25554

1100013000020 has 96 divisors (see below), whose sum is σ = 2668642816896. Its totient is φ = 376421990400.

The previous prime is 1100013000017. The next prime is 1100013000043. The reversal of 1100013000020 is 200003100011.

It is a junction number, because it is equal to n+sod(n) for n = 1100012999971 and 1100013000007.

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, 33984164 + ... + 34016516.

It is an arithmetic number, because the mean of its divisors is an integer number (27798362676).

Almost surely, 21100013000020 is an apocalyptic number.

1100013000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100013000020 is an abundant number, since it is smaller than the sum of its proper divisors (1568629816876).

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

1100013000020 is a wasteful number, since it uses less digits than its factorization.

1100013000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41481 (or 41479 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1100013000020 its reverse (200003100011), we get a palindrome (1300016100031).

Subtracting from 1100013000020 its reverse (200003100011), we obtain a palindrome (900009900009).

The spelling of 1100013000020 in words is "one trillion, one hundred billion, thirteen million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 9091 18182 32353 36364 45455 64706 90910 100001 129412 154547 161765 181820 200002 309094 323530 355883 400004 500005 550001 618188 647060 711766 772735 1000010 1100002 1423532 1545470 1700017 1779415 2000020 2200004 2750005 3090940 3400034 3558830 5500010 6050011 6800068 7117660 8500085 11000020 12100022 17000170 24200044 30250055 34000340 60500110 121000220 294121123 588242246 1176484492 1470605615 2941211230 3235332353 5000059091 5882422460 6470664706 10000118182 12941329412 16176661765 20000236364 25000295455 32353323530 50000590910 55000650001 64706647060 100001181820 110001300002 220002600004 275003250005 550006500010 1100013000020