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211211101010201 = 1947619799740093
BaseRepresentation
bin110000000001100001101010…
…101001011111100100011001
31000200211120202210002011120012
4300001201222221133210121
5210140440313324311301
62025113012412211305
762326332656501315
oct6001415251374431
91020746683064505
10211211101010201
1161331141292756
121b832162469b35
1390b1176834c96
143a22959722b45
151964143560ebb
hexc0186aa5f919

211211101010201 has 64 divisors (see below), whose sum is σ = 233398964843520. Its totient is φ = 190445133864960.

The previous prime is 211211101010197. The next prime is 211211101010209. The reversal of 211211101010201 is 102010101112112.

It is a cyclic number.

It is not a de Polignac number, because 211211101010201 - 22 = 211211101010197 is a prime.

It is a super-2 number, since 2×2112111010102012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211211101010209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5268009311 + ... + 5268049403.

It is an arithmetic number, because the mean of its divisors is an integer number (3646858825680).

Almost surely, 2211211101010201 is an apocalyptic number.

It is an amenable number.

211211101010201 is a deficient number, since it is larger than the sum of its proper divisors (22187863833319).

211211101010201 is a wasteful number, since it uses less digits than its factorization.

211211101010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41314.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211211101010201 its reverse (102010101112112), we get a palindrome (313221202122313).

The spelling of 211211101010201 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, ten thousand, two hundred one".

Divisors: 1 19 47 61 97 893 997 1159 1843 2867 4559 5917 18943 40093 46859 54473 60817 86621 96709 112423 278099 761767 890321 1155523 1837471 1884371 2445673 2858399 3889021 4545323 5283881 5899249 35803049 39972721 46467787 54309581 73891399 86361137 112085731 114946631 182783987 237230281 277264703 759481699 1878717887 2183985989 2438335981 3472895753 3877353937 4507375339 5268029357 11149823207 35695639853 46328383639 73669724803 114601791107 182235635039 211846640933 236518590157 2177434031033 3462477065741 4493853212983 11116373737379 211211101010201