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21020210122212 = 22327673593346501
BaseRepresentation
bin1001100011110001001100…
…01010000100110111100100
32202102111211120210111212200
410301320212022010313210
510223343342242402322
6112412315021414500
74266442255001010
oct461704612046744
982374746714780
1021020210122212
116774691688974
122435a35a0a430
13b96274646872
14529552845540
15266bb5a218ac
hex131e26284de4

21020210122212 has 144 divisors (see below), whose sum is σ = 61648726618752. Its totient is φ = 5914472256000.

The previous prime is 21020210122207. The next prime is 21020210122213. The reversal of 21020210122212 is 21222101202012.

It is a happy number.

21020210122212 is a `hidden beast` number, since 210 + 20 + 210 + 1 + 2 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21020210122213) 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, 60490962 + ... + 60837462.

Almost surely, 221020210122212 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 21020210122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30824363309376).

21020210122212 is an abundant number, since it is smaller than the sum of its proper divisors (40628516496540).

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

21020210122212 is a wasteful number, since it uses less digits than its factorization.

21020210122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350178 (or 350173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21020210122212 its reverse (21222101202012), we get a palindrome (42242311324224).

The spelling of 21020210122212 in words is "twenty-one trillion, twenty billion, two hundred ten million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 3593 4221 5628 7186 8442 10779 14372 16884 21558 25151 32337 43116 50302 64674 75453 100604 129348 150906 226359 240731 301812 346501 452718 481462 693002 722193 905436 962924 1039503 1386004 1444386 1685117 2079006 2166579 2425507 2888772 3118509 3370234 4158012 4333158 4851014 5055351 6237018 6740468 7276521 8666316 9702028 10110702 12474036 14553042 15166053 20221404 21829563 23215567 29106084 30332106 43659126 46431134 60664212 69646701 87318252 92862268 139293402 162508969 208940103 278586804 325017938 417880206 487526907 650035876 835760412 975053814 1244978093 1462580721 1950107628 2489956186 2925161442 3734934279 4979912372 5850322884 7469868558 8714846651 11204802837 14939737116 17429693302 22409605674 26144539953 34859386604 44819211348 52289079906 78433619859 83413532231 104578159812 156867239718 166827064462 250240596693 313734479436 333654128924 500481193386 583894725617 750721790079 1000962386772 1167789451234 1501443580158 1751684176851 2335578902468 3002887160316 3503368353702 5255052530553 7006736707404 10510105061106 21020210122212