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211100022102211 = 11798910926395213
BaseRepresentation
bin101111111111111010001101…
…110101000101100011000011
31000200102222001111111222122221
4233333322031311011203003
5210132130321124232321
62024550002241511511
762315321224402444
oct5777721565054303
91020388044458587
10211100022102211
1161299020124050
121b814722342597
1390a38539608a8
143a1b41d1312cb
1519612e189be41
hexbffe8dd458c3

211100022102211 has 64 divisors (see below), whose sum is σ = 238897257984000. Its totient is φ = 184924311137280.

The previous prime is 211100022102209. The next prime is 211100022102239. The reversal of 211100022102211 is 112201220001112.

It is not a de Polignac number, because 211100022102211 - 21 = 211100022102209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211100022102511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2217086841 + ... + 2217182053.

It is an arithmetic number, because the mean of its divisors is an integer number (3732769656000).

Almost surely, 2211100022102211 is an apocalyptic number.

211100022102211 is a deficient number, since it is larger than the sum of its proper divisors (27797235881789).

211100022102211 is a wasteful number, since it uses less digits than its factorization.

211100022102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95764.

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

Adding to 211100022102211 its reverse (112201220001112), we get a palindrome (323301242103323).

The spelling of 211100022102211 in words is "two hundred eleven trillion, one hundred billion, twenty-two million, one hundred two thousand, two hundred eleven".

Divisors: 1 11 79 89 109 263 869 979 1199 2893 7031 8611 9701 20777 23407 28667 77341 94721 95213 106711 228547 257477 315337 766379 1047343 1849153 2264693 2551363 7521827 8430169 8473957 10378217 20340683 24911623 25041019 28064993 82740097 93213527 114160387 201557677 275451209 669442603 819879143 923661313 1978240501 2217134447 2228650691 2729471071 7363868633 9018670573 10160274443 21760645511 24515157601 30024181781 72969243727 176063404589 215628214609 242922925319 802661680997 1936697450479 2371910360699 2672152178509 19190911100201 211100022102211