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21210214221612 = 223213711312148649
BaseRepresentation
bin1001101001010011000110…
…10010001100011100101100
32210002200021022000211120100
410310221203102030130230
510240002004320042422
6113035500552551100
74316246611125453
oct464514322143454
983080238024510
1021210214221612
116838223a84a99
1224668219b2490
13bab164a82450
1453481914db9a
1526bad66477ac
hex134a6348c72c

21210214221612 has 144 divisors (see below), whose sum is σ = 58557806798400. Its totient is φ = 6433678540800.

The previous prime is 21210214221583. The next prime is 21210214221617. The reversal of 21210214221612 is 21612241201212.

21210214221612 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 2 + 1 + 42 + 2 + 1 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (21210214221617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435960264 + ... + 436008912.

It is an arithmetic number, because the mean of its divisors is an integer number (406651436100).

Almost surely, 221210214221612 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 21210214221612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278903399200).

21210214221612 is an abundant number, since it is smaller than the sum of its proper divisors (37347592576788).

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

21210214221612 is a wasteful number, since it uses less digits than its factorization.

21210214221612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61864 (or 61859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21210214221612 its reverse (21612241201212), we get a palindrome (42822455422824).

The spelling of 21210214221612 in words is "twenty-one trillion, two hundred ten billion, two hundred fourteen million, two hundred twenty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 13121 16614 26242 33228 39363 48649 52484 78726 97298 118089 145947 157452 170573 194596 236178 291894 341146 437841 472356 511719 583788 632437 682292 875682 931591 1023438 1264874 1535157 1751364 1863182 1897311 2046876 2529748 2794773 3070314 3454079 3726364 3794622 5589546 5691933 6140628 6908158 7589244 8384319 10362237 11179092 11383866 12110683 13816316 16768638 20724474 22767732 24221366 31086711 33537276 36332049 41448948 44903027 48442732 62173422 72664098 89806054 108996147 124346844 134709081 145328196 179612108 217992294 269418162 404127243 435984588 538836324 638323529 808254486 1276647058 1616508972 1914970587 2553294116 3829941174 5744911761 7659882348 8298205877 11489823522 16596411754 22979647044 24894617631 33192823508 45320970559 49789235262 74683852893 90641941118 99578470524 135962911677 149367705786 181283882236 271925823354 298735411572 407888735031 543851646708 589172617267 815777470062 1178345234534 1631554940124 1767517851801 2356690469068 3535035703602 5302553555403 7070071407204 10605107110806 21210214221612