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212211110112001 = 711134724119939391
BaseRepresentation
bin110000010000000100111111…
…110101011110101100000001
31000211101011222010122000100221
4300100010333311132230001
5210303331323142041001
62031200234345543041
762461514064556240
oct6020047765365401
91024334863560327
10212211110112001
11616872543649a0
121b973b274a4a81
1391545639695b0
143a59103058957
1519801709c41a1
hexc1013fd5eb01

212211110112001 has 128 divisors (see below), whose sum is σ = 292374242721792. Its totient is φ = 148681350144000.

The previous prime is 212211110111971. The next prime is 212211110112013. The reversal of 212211110112001 is 100211011112212.

It is a cyclic number.

It is not a de Polignac number, because 212211110112001 - 211 = 212211110109953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212211110112301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22597281016 + ... + 22597290406.

It is an arithmetic number, because the mean of its divisors is an integer number (2284173771264).

Almost surely, 2212211110112001 is an apocalyptic number.

It is an amenable number.

212211110112001 is a deficient number, since it is larger than the sum of its proper divisors (80163132609791).

212211110112001 is a wasteful number, since it uses less digits than its factorization.

212211110112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703.

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

Adding to 212211110112001 its reverse (100211011112212), we get a palindrome (312422121224213).

The spelling of 212211110112001 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred ten million, one hundred twelve thousand, one".

Divisors: 1 7 11 13 47 77 91 143 241 329 517 611 1001 1687 1993 2651 3133 3619 4277 6721 9391 11327 13951 18557 21923 21931 25909 34463 47047 65737 79289 93671 103301 122083 124597 147251 153461 181363 241241 284999 441377 480313 655697 723107 854581 872179 1030381 1030757 1217723 1342913 1619761 1994993 2263231 3089639 3362191 4855147 5283443 5737901 6244069 7212667 8524061 9400391 11338327 13394953 15842617 18716263 22574711 24895541 29422003 33986029 36984101 40165307 43708483 63116911 68684759 93764671 106371857 131013841 158022977 174268787 205878893 205954021 243311419 248321821 293471243 323642033 441818377 480793313 744602999 879664361 1170090427 1382834141 1441152251 1703179933 1738252747 2054298701 2265494231 2676425609 3228183673 4510619383 6157650527 8190632989 9676307971 9679838987 11435636693 15211175551 18734979263 22597285711 31574335681 49616813213 58638051979 67734155797 80049456851 106478228857 125792003623 211999111001 347317692491 410466363853 645018571769 880544025361 1483993777007 2331990221011 2755988443013 4515130002383 16323931547077 19291919101091 30315872873143 212211110112001