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211121321102020 = 225767108720706167
BaseRepresentation
bin110000000000001110000011…
…010110010100101011000100
31000200112000000212100021122201
4300000032003112110223010
5210133002431200231040
62025003443533204244
762320004102043010
oct6000160326245304
91020460025307581
10211121321102020
11612a705a92792a
121b818887330684
1390a58694b3164
143a1c47db57540
151961b3b6aba9a
hexc00383594ac4

211121321102020 has 96 divisors (see below), whose sum is σ = 514726844792832. Its totient is φ = 71238487402368.

The previous prime is 211121321101937. The next prime is 211121321102033. The reversal of 211121321102020 is 20201123121112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157024 + ... + 20549143.

It is an arithmetic number, because the mean of its divisors is an integer number (5361737966592).

Almost surely, 2211121321102020 is an apocalyptic number.

211121321102020 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 211121321102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257363422396416).

211121321102020 is an abundant number, since it is smaller than the sum of its proper divisors (303605523690812).

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

211121321102020 is a wasteful number, since it uses less digits than its factorization.

211121321102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707337 (or 20707335 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211121321102020 its reverse (20201123121112), we get a palindrome (231322444223132).

The spelling of 211121321102020 in words is "two hundred eleven trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1087 1340 1876 2174 2345 4348 4690 5435 7609 9380 10870 15218 21740 30436 38045 72829 76090 145658 152180 291316 364145 509803 728290 1019606 1456580 2039212 2549015 5098030 10196060 20706167 41412334 82824668 103530835 144943169 207061670 289886338 414123340 579772676 724715845 1387313189 1449431690 2774626378 2898863380 5549252756 6936565945 9711192323 13873131890 19422384646 22507603529 27746263780 38844769292 45015207058 48555961615 90030414116 97111923230 112538017645 157553224703 194223846460 225076035290 315106449406 450152070580 630212898812 787766123515 1508009436443 1575532247030 3016018872886 3151064494060 6032037745772 7540047182215 10556066055101 15080094364430 21112132110202 30160188728860 42224264220404 52780330275505 105560660551010 211121321102020