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321214412101223 = 17232711186342407
BaseRepresentation
bin100100100001001001000111…
…0111011100001011001100111
31120010022210112200000210200002
41021002102032323201121213
5314100234103444214343
63055055510324211515
7124441655401165604
oct11102221673413147
91503283480023602
10321214412101223
11933922a3652603
1230039608839b9b
1310a30509a9caa4
145946c092c96ab
1527207cd7b78b8
hex124248eee1667

321214412101223 has 48 divisors (see below), whose sum is σ = 360586167008256. Its totient is φ = 285071478531840.

The previous prime is 321214412101213. The next prime is 321214412101229. The reversal of 321214412101223 is 322101214412123.

It is not a de Polignac number, because 321214412101223 - 230 = 321213338359399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214412101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7574539886 + ... + 7574582292.

It is an arithmetic number, because the mean of its divisors is an integer number (7512211812672).

Almost surely, 2321214412101223 is an apocalyptic number.

321214412101223 is a deficient number, since it is larger than the sum of its proper divisors (39371754907033).

321214412101223 is a wasteful number, since it uses less digits than its factorization.

321214412101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54404 (or 54381 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 321214412101223 its reverse (322101214412123), we get a palindrome (643315626513346).

The spelling of 321214412101223 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twelve million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 17 23 71 391 529 1207 1633 8993 11863 27761 37559 42407 201671 272849 638503 720919 842273 975361 3010897 4638433 6275527 14318641 16581137 19372279 22433303 51185249 69250631 106683959 329328743 381366151 445562417 503074241 1177260727 1592764513 7574561089 8552262097 11570707543 27076996721 35718271111 196702028231 266126273489 607210608887 821520235553 4524146649313 13965844004401 18894965417719 321214412101223