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212302655422329 = 331671031512837741
BaseRepresentation
bin110000010001011010010000…
…010111000111111101111001
31000211200221021002021121202010
4300101122100113013331321
5210311331314242003304
62031310254331400133
762501234500063563
oct6021322027077571
91024627232247663
10212302655422329
11617120612a355a
121b9898158b3049
139160092986784
143a5d709292333
15198272c84a789
hexc116905c7f79

212302655422329 has 128 divisors (see below), whose sum is σ = 302529212317696. Its totient is φ = 132244215840000.

The previous prime is 212302655422283. The next prime is 212302655422331. The reversal of 212302655422329 is 923224556203212.

It is a happy number.

212302655422329 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 212302655422329 - 213 = 212302655414137 is a prime.

It is a super-2 number, since 2×2123026554223292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212302655422349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27425736399 + ... + 27425744139.

It is an arithmetic number, because the mean of its divisors is an integer number (2363509471232).

Almost surely, 2212302655422329 is an apocalyptic number.

It is an amenable number.

212302655422329 is a deficient number, since it is larger than the sum of its proper divisors (90226556895367).

212302655422329 is a wasteful number, since it uses less digits than its factorization.

212302655422329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 212302655422329 in words is "two hundred twelve trillion, three hundred two billion, six hundred fifty-five million, four hundred twenty-two thousand, three hundred twenty-nine".

Divisors: 1 3 31 67 93 103 151 201 283 309 453 849 2077 3193 4681 6231 6901 7741 8773 9579 10117 14043 15553 18961 20703 23223 26319 29149 30351 42733 46659 56883 87447 128199 213931 239971 313627 482143 518647 587791 641793 719913 797323 903619 940881 1042051 1168891 1324723 1446429 1555941 1763373 1952983 2190703 2391969 2710857 2863111 3126153 3506673 3974169 4401499 5858949 6572109 8589333 13204497 16078057 24717013 32303581 36235621 48234171 53420641 60542473 67911793 74151039 78315697 88756441 96910743 108706863 120395773 136446469 146777101 160261923 181627419 203735379 225642409 234947091 266269323 294900433 330796153 361187319 409339407 440331303 676927227 884701299 992388459 1656039871 2427786607 3732268963 4550090131 4968119613 6994914679 7283359821 8066516791 9141913423 10254680743 11196806889 13650270393 15118041403 20984744037 22163342251 24199550373 27425740269 30764042229 34072003759 45354124209 66490026753 102216011277 250062020521 468659283493 687063609781 750186061563 1056232116529 1405977850479 2061190829343 2282824251853 3168696349587 6848472755559 70767551807443 212302655422329