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110201122020 = 223511983169859
BaseRepresentation
bin110011010100001111…
…1111010110011100100
3101112110002212000220210
41212220133322303210
53301142441401040
6122343052255420
710650613040013
oct1465037726344
9345402760823
10110201122020
114281072a060
1219436171570
13a513087b12
145495bb8a7a
152ceeac4480
hex19a87face4

110201122020 has 96 divisors (see below), whose sum is σ = 336958755840. Its totient is φ = 26688088960.

The previous prime is 110201122019. The next prime is 110201122021. The reversal of 110201122020 is 20221102011.

It is an interprime number because it is at equal distance from previous prime (110201122019) and next prime (110201122021).

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 = 110201121987 and 110201122005.

It is not an unprimeable number, because it can be changed into a prime (110201122021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563851 + ... + 733709.

It is an arithmetic number, because the mean of its divisors is an integer number (3509987040).

Almost surely, 2110201122020 is an apocalyptic number.

110201122020 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 110201122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168479377920).

110201122020 is an abundant number, since it is smaller than the sum of its proper divisors (226757633820).

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

110201122020 is a wasteful number, since it uses less digits than its factorization.

110201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170865 (or 170863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110201122020 its reverse (20221102011), we get a palindrome (130422224031).

It can be divided in two parts, 110201 and 122020, that added together give a triangular number (232221 = T681).

The spelling of 110201122020 in words is "one hundred ten billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 983 1966 2949 3932 4915 5898 9830 10813 11796 14745 19660 21626 29490 32439 43252 54065 58980 64878 108130 129756 162195 169859 216260 324390 339718 509577 648780 679436 849295 1019154 1698590 1868449 2038308 2547885 3397180 3736898 5095770 5605347 7473796 9342245 10191540 11210694 18684490 22421388 28026735 37368980 56053470 112106940 166971397 333942794 500914191 667885588 834856985 1001828382 1669713970 1836685367 2003656764 2504570955 3339427940 3673370734 5009141910 5510056101 7346741468 9183426835 10018283820 11020112202 18366853670 22040224404 27550280505 36733707340 55100561010 110201122020