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212101002100220 = 22552322678944571
BaseRepresentation
bin110000001110011110011100…
…111000101111110111111100
31000210222122202111222110200112
4300032132130320233313330
5210300030323014201340
62031033504421045152
762450535362114522
oct6016363470576774
91023878674873615
10212101002100220
1161644591250a52
121b9567185567b8
139147066c822bc
143a53a5979a312
15197c379193065
hexc0e79ce2fdfc

212101002100220 has 48 divisors (see below), whose sum is σ = 446460654826368. Its totient is φ = 84640820109120.

The previous prime is 212101002100199. The next prime is 212101002100223. The reversal of 212101002100220 is 22001200101212.

It is a junction number, because it is equal to n+sod(n) for n = 212101002100195 and 212101002100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101002100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19240535 + ... + 28185105.

It is an arithmetic number, because the mean of its divisors is an integer number (9301263642216).

Almost surely, 2212101002100220 is an apocalyptic number.

212101002100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101002100220 is an abundant number, since it is smaller than the sum of its proper divisors (234359652726148).

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

212101002100220 is a wasteful number, since it uses less digits than its factorization.

212101002100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947370 (or 8947368 counting only the distinct ones).

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

Adding to 212101002100220 its reverse (22001200101212), we get a palindrome (234102202201432).

The spelling of 212101002100220 in words is "two hundred twelve trillion, one hundred one billion, two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 523 1046 2092 2267 2615 4534 5230 9068 10460 11335 22670 45340 1185641 2371282 4742564 5928205 8944571 11856410 17889142 23712820 35778284 44722855 89445710 178891420 4678010633 9356021266 18712042532 20277342457 23390053165 40554684914 46780106330 81109369828 93560212660 101386712285 202773424570 405546849140 10605050105011 21210100210022 42420200420044 53025250525055 106050501050110 212101002100220