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212110303320 = 2334577384691
BaseRepresentation
bin1100010110001011000…
…0100110000001011000
3202021111022221211120000
43011202300212001120
511433400214201240
6241235255533000
721216201554526
oct3054260460130
9667438854500
10212110303320
1181a56811343
123513738a160
1317004294126
14a3a2613316
1557b6732430
hex3162c26058

212110303320 has 160 divisors (see below), whose sum is σ = 713857011120. Its totient is φ = 56488907520.

The previous prime is 212110303283. The next prime is 212110303387. The reversal of 212110303320 is 23303011212.

212110303320 is a `hidden beast` number, since 21 + 21 + 1 + 0 + 303 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212110303293 and 212110303302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2462175 + ... + 2546865.

Almost surely, 2212110303320 is an apocalyptic number.

212110303320 is a gapful number since it is divisible by the number (20) 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 212110303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356928505560).

212110303320 is an abundant number, since it is smaller than the sum of its proper divisors (501746707800).

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

212110303320 is a wasteful number, since it uses less digits than its factorization.

212110303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85487 (or 85474 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212110303320 its reverse (23303011212), we get a palindrome (235413314532).

The spelling of 212110303320 in words is "two hundred twelve billion, one hundred ten million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 773 810 1080 1546 1620 2319 3092 3240 3865 4638 6184 6957 7730 9276 11595 13914 15460 18552 20871 23190 27828 30920 34785 41742 46380 55656 62613 69570 83484 84691 92760 104355 125226 139140 166968 169382 208710 250452 254073 278280 313065 338764 417420 423455 500904 508146 626130 677528 762219 834840 846910 1016292 1252260 1270365 1524438 1693820 2032584 2286657 2504520 2540730 3048876 3387640 3811095 4573314 5081460 6097752 6859971 7622190 9146628 10162920 11433285 13719942 15244380 18293256 22866570 27439884 30488760 34299855 45733140 54879768 65466143 68599710 91466280 130932286 137199420 196398429 261864572 274398840 327330715 392796858 523729144 589195287 654661430 785593716 981992145 1178390574 1309322860 1571187432 1767585861 1963984290 2356781148 2618645720 2945976435 3535171722 3927968580 4713562296 5302757583 5891952870 7070343444 7855937160 8837929305 10605515166 11783905740 14140686888 17675858610 21211030332 23567811480 26513787915 35351717220 42422060664 53027575830 70703434440 106055151660 212110303320