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211223200221 = 321143477114869
BaseRepresentation
bin1100010010110111100…
…0100100000111011101
3202012012111201022212200
43010231320210013131
511430041114401341
6241011250122113
721155210402235
oct3045570440735
9665174638780
10211223200221
1181640a98690
1234b2a280339
1316bc2564a57
14a31a892cc5
155763901db6
hex312de241dd

211223200221 has 96 divisors (see below), whose sum is σ = 352745902080. Its totient is φ = 120644899200.

The previous prime is 211223200207. The next prime is 211223200289. The reversal of 211223200221 is 122002322112.

211223200221 is a `hidden beast` number, since 2 + 1 + 122 + 320 + 0 + 221 = 666.

211223200221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211223200221 - 214 = 211223183837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211223200194 and 211223200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211223200421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14198175 + ... + 14213043.

It is an arithmetic number, because the mean of its divisors is an integer number (3674436480).

Almost surely, 2211223200221 is an apocalyptic number.

It is an amenable number.

211223200221 is a deficient number, since it is larger than the sum of its proper divisors (141522701859).

211223200221 is a wasteful number, since it uses less digits than its factorization.

211223200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047 (or 15044 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211223200221 its reverse (122002322112), we get a palindrome (333225522333).

The spelling of 211223200221 in words is "two hundred eleven billion, two hundred twenty-three million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 43 47 71 99 129 141 213 387 423 473 517 639 781 1419 1551 2021 2343 3053 3337 4257 4653 6063 7029 9159 10011 14869 18189 22231 27477 30033 33583 36707 44607 66693 100749 110121 133821 143491 163559 200079 302247 330363 430473 490677 639367 698843 1055699 1291419 1472031 1578401 1918101 2096529 3167097 4735203 5754303 6289587 7033037 7687273 9501291 11612689 14205609 21099111 23061819 30050249 34838067 45395057 49617853 63297333 69185457 90150747 104514201 136185171 148853559 270452241 330552739 408555513 446560677 499345627 545796383 991658217 1498036881 1637389149 2133567679 2974974651 4494110643 4912167447 6400703037 19202109111 23469244469 70407733407 211223200221