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1100103310020 = 22351113128217169
BaseRepresentation
bin10000000000100011010…
…001000101101011000100
310220011120002110110102210
4100000203101011223010
5121011002421410040
62201214103503420
7142323404563641
oct20004321055304
93804502413383
101100103310020
11394607703380
1215925a457b70
137c97c30a570
143b3610badc8
151d939aab480
hex10023445ac4

1100103310020 has 96 divisors (see below), whose sum is σ = 3618801406080. Its totient is φ = 246176962560.

The previous prime is 1100103310003. The next prime is 1100103310037. The reversal of 1100103310020 is 200133010011.

It is an interprime number because it is at equal distance from previous prime (1100103310003) and next prime (1100103310037).

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 = 1100103309978 and 1100103310005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64100005 + ... + 64117164.

It is an arithmetic number, because the mean of its divisors is an integer number (37695847980).

Almost surely, 21100103310020 is an apocalyptic number.

1100103310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100103310020 is an abundant number, since it is smaller than the sum of its proper divisors (2518698096060).

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

1100103310020 is a wasteful number, since it uses less digits than its factorization.

1100103310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128217205 (or 128217203 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100103310020 its reverse (200133010011), we get a palindrome (1300236320031).

The spelling of 1100103310020 in words is "one trillion, one hundred billion, one hundred three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 128217169 256434338 384651507 512868676 641085845 769303014 1282171690 1410388859 1538606028 1666823197 1923257535 2564343380 2820777718 3333646394 3846515070 4231166577 5000469591 5641555436 6667292788 7051944295 7693030140 8334115985 8462333154 10000939182 14103888590 16668231970 16924666308 18335055167 20001878364 21155832885 25002347955 28207777180 33336463940 36670110334 42311665770 50004695910 55005165501 73340220668 84623331540 91675275835 100009391820 110010331002 183350551670 220020662004 275025827505 366701103340 550051655010 1100103310020