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211112300200221 = 327176071121328961
BaseRepresentation
bin110000000000000101101001…
…101010010100000100011101
31000200111010202011220222202200
4300000011221222110010131
5210132330442322401341
62024555352444042113
762316234413455530
oct6000055152240435
91020433664828680
10211112300200221
11612a325085a892
121b816b8a233339
1390a4a5c5c5144
143a1bc65a60a17
1519617ae751db6
hexc00169a9411d

211112300200221 has 96 divisors (see below), whose sum is σ = 369656651040768. Its totient is φ = 113338315653120.

The previous prime is 211112300200201. The next prime is 211112300200261. The reversal of 211112300200221 is 122002003211112.

211112300200221 is a `hidden beast` number, since 2 + 1 + 1 + 11 + 230 + 0 + 200 + 221 = 666.

It is not a de Polignac number, because 211112300200221 - 25 = 211112300200189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112300200194 and 211112300200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112300200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7289523181 + ... + 7289552141.

It is an arithmetic number, because the mean of its divisors is an integer number (3850590115008).

Almost surely, 2211112300200221 is an apocalyptic number.

211112300200221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211112300200221 is a deficient number, since it is larger than the sum of its proper divisors (158544350840547).

211112300200221 is a wasteful number, since it uses less digits than its factorization.

211112300200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40811 (or 40808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211112300200221 its reverse (122002003211112), we get a palindrome (333114303411333).

The spelling of 211112300200221 in words is "two hundred eleven trillion, one hundred twelve billion, three hundred million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 607 1071 1821 4249 5463 10319 11213 12747 28961 30957 33639 38241 72233 78491 86883 92871 100917 190621 202727 216699 235473 260649 492337 571863 608181 650097 706419 1334347 1477011 1715589 1824543 3446359 4003041 4431033 6806291 10339077 12009123 17579327 20418873 31017231 47644037 52737981 61256619 115706947 123055289 142932111 158213943 298848559 324739693 347120841 369165867 428796333 809948629 896545677 974219079 1041362523 1107497601 2091939913 2273177851 2429845887 2689637031 2922657237 5520574781 6275819739 6819533553 7289537661 16561724343 18827459217 20458600659 38644023467 49685173029 115932070401 197116993651 347796211203 591350980953 1379818955557 1774052942859 3350988892067 4139456866671 10052966676201 12418370600013 23456922244469 30158900028603 70370766733407 211112300200221