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21213103212 = 22327314795669
BaseRepresentation
bin10011110000011001…
…100100010001101100
32000202101012022000100
4103300121210101230
5321421023300322
613424542231100
71350452254650
oct236031442154
960671168010
1021213103212
118aa6275464
124140285490
132000b092a2
141053466a60
158424e3dac
hex4f066446c

21213103212 has 144 divisors (see below), whose sum is σ = 63402393600. Its totient is φ = 5852096640.

The previous prime is 21213103189. The next prime is 21213103237. The reversal of 21213103212 is 21230131212.

21213103212 is a `hidden beast` number, since 212 + 131 + 0 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3739114 + ... + 3744782.

It is an arithmetic number, because the mean of its divisors is an integer number (440294400).

Almost surely, 221213103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701196800).

21213103212 is an abundant number, since it is smaller than the sum of its proper divisors (42189290388).

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

21213103212 is a wasteful number, since it uses less digits than its factorization.

21213103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21213103212 its reverse (21230131212), we get a palindrome (42443234424).

The spelling of 21213103212 in words is "twenty-one billion, two hundred thirteen million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 479 558 651 868 958 1116 1302 1437 1916 1953 2604 2874 3353 3906 4311 5669 5748 6706 7812 8622 10059 11338 13412 14849 17007 17244 20118 22676 29698 30177 34014 39683 40236 44547 51021 59396 60354 68028 79366 89094 102042 103943 119049 120708 133641 158732 175739 178188 204084 207886 238098 267282 311829 351478 357147 415772 476196 527217 534564 623658 702956 714294 935487 1054434 1230173 1247316 1428588 1581651 1870974 2108868 2460346 2715451 3163302 3690519 3741948 4920692 5430902 6326604 7381038 8146353 10861804 11071557 14762076 16292706 19008157 22143114 24439059 32585412 38016314 44286228 48878118 57024471 76032628 84178981 97756236 114048942 168357962 171073413 228097884 252536943 336715924 342146826 505073886 589252867 684293652 757610829 1010147772 1178505734 1515221658 1767758601 2357011468 3030443316 3535517202 5303275803 7071034404 10606551606 21213103212