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212011220003220 = 2232511372893956047
BaseRepresentation
bin110000001101001010110101…
…011101001110100110010100
31000210200002000110010101021200
4300031022311131032212110
5210242042434310100340
62030524335423112500
762441206446641631
oct6015126535164624
91023602013111250
10212011220003220
116160a4a9630690
121b941240742730
13913b759345111
143a4d57d7c1188
151979d7200a330
hexc0d2b574e994

212011220003220 has 144 divisors (see below), whose sum is σ = 720525601006848. Its totient is φ = 50007560474880.

The previous prime is 212011220003201. The next prime is 212011220003237. The reversal of 212011220003220 is 22300022110212.

212011220003220 is a `hidden beast` number, since 2 + 120 + 1 + 1 + 220 + 0 + 0 + 322 + 0 = 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 = 212011220003193 and 212011220003202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446904764 + ... + 1447051283.

It is an arithmetic number, because the mean of its divisors is an integer number (5003650006992).

Almost surely, 2212011220003220 is an apocalyptic number.

212011220003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011220003220 is an abundant number, since it is smaller than the sum of its proper divisors (508514381003628).

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

212011220003220 is a wasteful number, since it uses less digits than its factorization.

212011220003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893956110 (or 2893956105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212011220003220 its reverse (22300022110212), we get a palindrome (234311242113432).

The spelling of 212011220003220 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 2893956047 5787912094 8681868141 11575824188 14469780235 17363736282 26045604423 28939560470 31833516517 34727472564 43409340705 52091208846 57879120940 63667033034 86818681410 95500549551 104182417692 107076373739 127334066068 130228022115 159167582585 173637362820 191001099102 214152747478 260456044230 286501648653 318335165170 321229121217 382002198204 428305494956 477502747755 520912088460 535381868695 573003297306 636670330340 642458242434 955005495510 963687363651 1070763737390 1146006594612 1177840111129 1284916484868 1432508243265 1606145606085 1910010991020 1927374727302 2141527474780 2355680222258 2865016486530 3212291212170 3533520333387 3854749454604 4711360444516 4818436818255 5730032973060 5889200555645 6424582424340 7067040666774 9636873636510 10600561000161 11778401111290 14134081333548 17667601666935 19273747273020 21201122000322 23556802222580 35335203333870 42402244000644 53002805000805 70670406667740 106005610001610 212011220003220