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212011102010220 = 223537511318677977
BaseRepresentation
bin110000001101001010101110…
…011011000111101101101100
31000210200001201020002201022120
4300031022232123013231230
5210242042214103311340
62030524320010112540
762441203515010002
oct6015125633075554
91023601636081276
10212011102010220
116160a448a6a807
121b94120911b750
13913b73aa71886
143a4d56bc68a72
151979d6699e4d0
hexc0d2ae6c7b6c

212011102010220 has 96 divisors (see below), whose sum is σ = 609794441876928. Its totient is φ = 54997524467712.

The previous prime is 212011102010219. The next prime is 212011102010293. The reversal of 212011102010220 is 22010201110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011102010220.

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, 2011872 + ... + 20689848.

It is an arithmetic number, because the mean of its divisors is an integer number (6352025436218).

Almost surely, 2212011102010220 is an apocalyptic number.

212011102010220 is a gapful number since it is divisible by the number (20) 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 212011102010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304897220938464).

212011102010220 is an abundant number, since it is smaller than the sum of its proper divisors (397783339866708).

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

212011102010220 is a wasteful number, since it uses less digits than its factorization.

212011102010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18683139 (or 18683137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212011102010220 its reverse (22010201110212), we get a palindrome (234021303120432).

The spelling of 212011102010220 in words is "two hundred twelve trillion, eleven billion, one hundred two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5113 10226 15339 20452 25565 30678 51130 61356 76695 102260 153390 189181 306780 378362 567543 756724 945905 1135086 1891810 2270172 2837715 3783620 5675430 11350860 18677977 37355954 56033931 74711908 93389885 112067862 186779770 224135724 280169655 373559540 560339310 691085149 1120678620 1382170298 2073255447 2764340596 3455425745 4146510894 6910851490 8293021788 10366277235 13821702980 20732554470 41465108940 95500496401 191000992802 286501489203 382001985604 477502482005 573002978406 955004964010 1146005956812 1432507446015 1910009928020 2865014892030 3533518366837 5730029784060 7067036733674 10600555100511 14134073467348 17667591834185 21201110201022 35335183668370 42402220402044 53002775502555 70670367336740 106005551005110 212011102010220