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221211102022221 = 317293761421115737
BaseRepresentation
bin110010010011000010111001…
…001010000000101001001101
31002000020120112001012211121210
4302103002321022000221031
5212443310314104202341
62102250551035045033
764410655216562253
oct6223027112005115
91060216461184553
10221211102022221
1164537113148053
122098823a5a0779
13965816ac5601c
143c8a962a365d3
151a8931d603c16
hexc930b9280a4d

221211102022221 has 128 divisors (see below), whose sum is σ = 337339301045760. Its totient is φ = 128214813081600.

The previous prime is 221211102022151. The next prime is 221211102022259. The reversal of 221211102022221 is 122220201112122.

It is not a de Polignac number, because 221211102022221 - 27 = 221211102022093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211102022271) 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 127 ways as a sum of consecutive naturals, for example, 14056743865 + ... + 14056759601.

It is an arithmetic number, because the mean of its divisors is an integer number (2635463289420).

Almost surely, 2221211102022221 is an apocalyptic number.

It is an amenable number.

221211102022221 is a deficient number, since it is larger than the sum of its proper divisors (116128199023539).

221211102022221 is a wasteful number, since it uses less digits than its factorization.

221211102022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20095.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221211102022221 its reverse (122220201112122), we get a palindrome (343431303134343).

The spelling of 221211102022221 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 17 29 37 51 61 87 111 183 493 629 1037 1073 1479 1769 1887 2257 3111 3219 4211 5307 6771 12633 15737 18241 30073 38369 47211 54723 65453 71587 90219 115107 122119 155807 196359 214761 256871 267529 366357 456373 467421 582269 770613 802587 959957 1112701 1369119 1746807 2076023 2648719 2879871 3338103 4366807 4518403 6228069 7449259 7758341 7946157 9504227 9898573 13100421 13555209 16319269 16885801 22347777 23275023 27838753 28512681 29695719 35518409 48957807 50657403 66268507 76812851 83516259 106555227 126637403 161571859 198805521 230438553 275622583 287058617 379912209 473258801 484715577 603812953 826867749 861175851 1030033861 1126564619 1419776403 1811438859 1921786703 2451934759 3090101583 3379693857 4042378927 4685583911 5765360109 7355804277 12127136781 14056751733 17510575637 32670373951 41682890903 52531726911 68720441759 71106108011 98011121853 117228988883 125048672709 149568020299 206161325277 213318324033 351686966649 448704060897 1208803836187 1992892811011 2542656345083 3626411508561 4337472588671 5978678433033 7627969035249 13012417766013 73737034007407 221211102022221