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210200220112212 = 2232114795749192757
BaseRepresentation
bin101111110010110100001101…
…011100111001010101010100
31000120020221111202022212002100
4233302310031130321111110
5210022410022322042322
62023020351550242100
762163315256600521
oct5762641534712524
91016227452285070
10210200220112212
1160a8145a388090
121b6aa2644b6330
139039a46213085
1439c9a60170148
151947bcb934dac
hexbf2d0d739554

210200220112212 has 144 divisors (see below), whose sum is σ = 580957191360000. Its totient is φ = 63552670951680.

The previous prime is 210200220112151. The next prime is 210200220112247. The reversal of 210200220112212 is 212211022002012.

It is a happy number.

210200220112212 is a `hidden beast` number, since 2 + 10 + 200 + 220 + 11 + 221 + 2 = 666.

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

It is a congruent number.

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, 1090396938 + ... + 1090589694.

It is an arithmetic number, because the mean of its divisors is an integer number (4034424940000).

Almost surely, 2210200220112212 is an apocalyptic number.

210200220112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210200220112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290478595680000).

210200220112212 is an abundant number, since it is smaller than the sum of its proper divisors (370756971247788).

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

210200220112212 is a wasteful number, since it uses less digits than its factorization.

210200220112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199006 (or 199001 counting only the distinct ones).

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

Adding to 210200220112212 its reverse (212211022002012), we get a palindrome (422411242114224).

The spelling of 210200220112212 in words is "two hundred ten trillion, two hundred billion, two hundred twenty million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 479 958 1437 1916 2874 4311 5269 5748 5749 8622 10538 11498 15807 17244 17247 21076 22996 31614 34494 47421 51741 63228 63239 68988 94842 103482 126478 189684 189717 192757 206964 252956 379434 385514 569151 578271 758868 771028 1138302 1156542 1734813 2120327 2276604 2313084 2753771 3469626 4240654 5507542 6360981 6939252 8261313 8481308 11015084 12721962 16522626 19082943 24783939 25443924 30291481 33045252 38165886 49567878 60582962 76331772 90874443 92330603 99135756 121165924 181748886 184661206 272623329 276991809 363497772 369322412 545246658 553983618 830975427 1015636633 1090493316 1107967236 1108159993 1661950854 2031273266 2216319986 3046909899 3323901708 3324479979 4062546532 4432639972 6093819798 6648959958 9140729697 9973439937 12187639596 12189759923 13297919916 18281459394 19946879874 24379519846 36562918788 36569279769 39893759748 48759039692 73138559538 109707839307 146277119076 219415678614 438831357228 530808636647 1061617273294 1592425909941 2123234546588 3184851819882 4777277729823 5838895003117 6369703639764 9554555459646 11677790006234 17516685009351 19109110919292 23355580012468 35033370018702 52550055028053 70066740037404 105100110056106 210200220112212