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211424441144323 = 111729710740915667
BaseRepresentation
bin110000000100101000010110…
…101101100001010000000011
31000201120222102211011212211011
4300010220112231201100003
5210202434223413104243
62025355014123501351
762350624513636531
oct6004502655412003
91021528384155734
10211424441144323
1161403669225090
121b867581687857
1390c8315836534
143a2cdd73cd151
15196997cc2289d
hexc04a16b61403

211424441144323 has 96 divisors (see below), whose sum is σ = 250476434369280. Its totient is φ = 176914849628160.

The previous prime is 211424441144321. The next prime is 211424441144341. The reversal of 211424441144323 is 323441144424112.

It is a happy number.

It is not a de Polignac number, because 211424441144323 - 21 = 211424441144321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211424441144321) 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, 13494882136 + ... + 13494897802.

It is an arithmetic number, because the mean of its divisors is an integer number (2609129524680).

Almost surely, 2211424441144323 is an apocalyptic number.

211424441144323 is a deficient number, since it is larger than the sum of its proper divisors (39051993224957).

211424441144323 is a wasteful number, since it uses less digits than its factorization.

211424441144323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16308 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 211424441144323 its reverse (323441144424112), we get a palindrome (534865585568435).

The spelling of 211424441144323 in words is "two hundred eleven trillion, four hundred twenty-four billion, four hundred forty-one million, one hundred forty-four thousand, three hundred twenty-three".

Divisors: 1 11 17 97 107 187 289 409 1067 1177 1649 1819 3179 4499 6953 10379 15667 18139 20009 28033 30923 39673 43763 76483 114169 118201 172337 176443 266339 308363 340153 436403 481393 674441 743971 1300211 1519699 1676369 1940873 2929729 2999531 4245011 4527763 6407803 7418851 8183681 11465497 12647507 16716689 18440059 25834883 28498273 32994841 46695121 49805393 70485833 72165187 108932651 126120467 139122577 162607793 284183713 313481003 439193011 484470641 621556891 685634921 793817057 1198259161 1226808179 1788685723 1851855067 2764332481 4831123121 5329177051 6837125801 7541984131 10566467147 11655793657 13494889969 20370405737 30407657291 46993652177 66506587337 116231138617 128213730227 179629941499 198148492169 516930173947 731572460707 1130611984729 1975929356489 2179633413859 12436731832019 19220403740393 211424441144323