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211121101022020 = 225719348716044173
BaseRepresentation
bin110000000000001101110110…
…001110110010001101000100
31000200111222110112020001122121
4300000031312032302031010
5210133002003330201040
62025003410032135324
762316665460304240
oct6000156616621504
91020458415201577
10211121101022020
11612a6a5767a532
121b818825697544
1390a5832a181c7
143a1c45c829420
151961b271d7c4a
hexc003763b2344

211121101022020 has 96 divisors (see below), whose sum is σ = 510361837751808. Its totient is φ = 71861461327872.

The previous prime is 211121101021939. The next prime is 211121101022053. The reversal of 211121101022020 is 20220101121112.

It is a junction number, because it is equal to n+sod(n) for n = 211121101021985 and 211121101022003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5136654 + ... + 21180826.

It is an arithmetic number, because the mean of its divisors is an integer number (5316269143248).

Almost surely, 2211121101022020 is an apocalyptic number.

211121101022020 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 211121101022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255180918875904).

211121101022020 is an abundant number, since it is smaller than the sum of its proper divisors (299240736729788).

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

211121101022020 is a wasteful number, since it uses less digits than its factorization.

211121101022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044869 (or 16044867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121101022020 its reverse (20220101121112), we get a palindrome (231341202143132).

The spelling of 211121101022020 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 487 772 965 974 1351 1930 1948 2435 2702 3409 3860 4870 5404 6755 6818 9740 13510 13636 17045 27020 34090 68180 93991 187982 375964 469955 657937 939910 1315874 1879820 2631748 3289685 6579370 13158740 16044173 32088346 64176692 80220865 112309211 160441730 224618422 320883460 449236844 561546055 1123092110 2246184220 3096525389 6193050778 7813512251 12386101556 15482626945 15627024502 21675677723 30965253890 31254049004 39067561255 43351355446 54694585757 61930507780 78135122510 86702710892 108378388615 109389171514 156270245020 216756777230 218778343028 273472928785 433513554460 546945857570 1093891715140 1508007864443 3016015728886 6032031457772 7540039322215 10556055051101 15080078644430 21112110102202 30160157288860 42224220204404 52780275255505 105560550511010 211121101022020