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212211210002220 = 2232511138244413753
BaseRepresentation
bin110000010000000101000101…
…110010100001111100101100
31000211101012020002120221222200
4300100011011302201330230
5210303332024230032340
62031200252314541500
762461516416613332
oct6020050562417454
91024335202527880
10212211210002220
11616872a57909a0
121b973b54a37890
13915457b572130
143a5911241bb52
151980179656330
hexc10145ca1f2c

212211210002220 has 144 divisors (see below), whose sum is σ = 756243584826912. Its totient is φ = 47487823211520.

The previous prime is 212211210002201. The next prime is 212211210002243. The reversal of 212211210002220 is 22200012112212.

It is a happy number.

212211210002220 is a `hidden beast` number, since 21 + 2 + 211 + 210 + 0 + 0 + 2 + 220 = 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 = 212211210002193 and 212211210002202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122181137 + ... + 4122232616.

It is an arithmetic number, because the mean of its divisors is an integer number (5251691561298).

Almost surely, 2212211210002220 is an apocalyptic number.

212211210002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211210002220 is an abundant number, since it is smaller than the sum of its proper divisors (544032374824692).

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

212211210002220 is a wasteful number, since it uses less digits than its factorization.

212211210002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244413792 (or 8244413787 counting only the distinct ones).

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

Adding to 212211210002220 its reverse (22200012112212), we get a palindrome (234411222114432).

The spelling of 212211210002220 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred ten million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 8244413753 16488827506 24733241259 32977655012 41222068765 49466482518 74199723777 82444137530 90688551283 98932965036 107177378789 123666206295 148399447554 164888275060 181377102566 214354757578 247332412590 272065653849 296798895108 321532136367 362754205132 370998618885 428709515156 453442756415 494664825180 535886893945 544131307698 643064272734 741997237770 816196961547 906885512830 964596409101 1071773787890 1088262615396 1178951166679 1286128545468 1360328269245 1483994475540 1607660681835 1632393923094 1813771025660 1929192818202 2143547575780 2357902333358 2720656538490 3215321363670 3264787846188 3536853500037 3858385636404 4080984807735 4715804666716 4822982045505 5441313076980 5894755833395 6430642727340 7073707000074 8161969615470 9645964091010 10610560500111 11789511666790 14147414000148 16323939230940 17684267500185 19291928182020 21221121000222 23579023333580 35368535000370 42442242000444 53052802500555 70737070000740 106105605001110 212211210002220