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211012010112211 = 711113587316913037
BaseRepresentation
bin101111111110101000001111…
…111001111111010011010011
31000200010112212210102122120121
4233332220033321333103103
5210124210044042042321
62024441325035251111
762306054215002430
oct5776501771772323
91020115783378517
10211012010112211
1161264766700330
121b7bb65b2a9a97
1390984689783b9
143a1707028ab87
15195dd8ed15441
hexbfea0fe7f4d3

211012010112211 has 64 divisors (see below), whose sum is σ = 265964485893120. Its totient is φ = 162628409180160.

The previous prime is 211012010112199. The next prime is 211012010112223. The reversal of 211012010112211 is 112211010210112.

It is an interprime number because it is at equal distance from previous prime (211012010112199) and next prime (211012010112223).

It is not a de Polignac number, because 211012010112211 - 215 = 211012010079443 is a prime.

It is a super-2 number, since 2×2110120101122112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012010122211) 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, 16185619785 + ... + 16185632821.

It is an arithmetic number, because the mean of its divisors is an integer number (4155695092080).

Almost surely, 2211012010112211 is an apocalyptic number.

211012010112211 is a deficient number, since it is larger than the sum of its proper divisors (54952475780909).

211012010112211 is a wasteful number, since it uses less digits than its factorization.

211012010112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16924.

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

Adding to 211012010112211 its reverse (112211010210112), we get a palindrome (323223020322323).

The spelling of 211012010112211 in words is "two hundred eleven trillion, twelve billion, ten million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 7 11 77 113 587 791 1243 3169 4109 6457 8701 13037 22183 34859 45199 66331 91259 143407 244013 358097 464317 729641 1003849 1473181 1860203 2506679 3939067 5107487 7652719 10312267 13021421 16204991 20462233 27573469 41314253 53569033 84179909 113434937 143235631 210202939 289199771 454456783 589259363 864757247 1471420573 2312232329 3181197481 4668510589 6053300729 9512329717 16185626303 24251466511 32679574123 51353616479 66586308019 169760265577 266766131621 359475315353 1867362921347 2740415715743 19182910010201 30144572873173 211012010112211