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211331212322334 = 231321922349188913
BaseRepresentation
bin110000000011010001100001…
…110101110010011000011110
31000201021001210112201000121020
4300003101201311302120132
5210144422310323303314
62025244115122345010
762341114310012016
oct6003214165623036
91021231715630536
10211331212322334
1161378077a65275
121b8514a34bb166
1390bc5a8ac3a00
143a286b1762c46
1519673231a2da9
hexc03461d7261e

211331212322334 has 96 divisors (see below), whose sum is σ = 483924471045120. Its totient is φ = 61326374413824.

The previous prime is 211331212322317. The next prime is 211331212322393. The reversal of 211331212322334 is 433223212133112.

It is a junction number, because it is equal to n+sod(n) for n = 211331212322295 and 211331212322304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20298139 + ... + 28890774.

It is an arithmetic number, because the mean of its divisors is an integer number (5040879906720).

Almost surely, 2211331212322334 is an apocalyptic number.

211331212322334 is an abundant number, since it is smaller than the sum of its proper divisors (272593258722786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211331212322334 is a wasteful number, since it uses less digits than its factorization.

211331212322334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49189186 (or 49189173 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 211331212322334 its reverse (433223212133112), we get a palindrome (644554424455446).

The spelling of 211331212322334 in words is "two hundred eleven trillion, three hundred thirty-one billion, two hundred twelve million, three hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 223 247 338 446 494 507 669 741 1014 1338 1482 2899 3211 4237 5798 6422 8474 8697 9633 12711 17394 19266 25422 37687 55081 75374 110162 113061 165243 226122 330486 716053 1432106 2148159 4296318 49188913 98377826 147566739 295133478 639455869 934589347 1278911738 1869178694 1918367607 2803768041 3836735214 5607536082 8312926297 10969127599 12149661511 16625852594 21938255198 24299323022 24938778891 32907382797 36448984533 49877557782 65814765594 72897969066 142598658787 157945599643 208413424381 285197317574 315891199286 416826848762 427795976361 473836798929 625240273143 855591952722 947673597858 1250480546286 1853782564231 2709374516953 3707565128462 5418749033906 5561347692693 8128123550859 11122695385386 16256247101718 35221868720389 70443737440778 105665606161167 211331212322334