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210212212210020 = 22355383112933529
BaseRepresentation
bin101111110010111111011000…
…001111000111100101100100
31000120022002110111120112200000
4233302333120033013211210
5210023104102311210040
62023030053534421300
762164221404003016
oct5762773017074544
91016262414515600
10210212212210020
1160a86553631719
121b6b0650661830
13903ac0783bb37
1439ca47aad21b6
15194817e644130
hexbf2fd83c7964

210212212210020 has 144 divisors (see below), whose sum is σ = 662986677749760. Its totient is φ = 55910227574016.

The previous prime is 210212212209991. The next prime is 210212212210037. The reversal of 210212212210020 is 20012212212012.

It is a happy number.

210212212210020 is a `hidden beast` number, since 2 + 10 + 212 + 212 + 210 + 0 + 20 = 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 = 210212212209975 and 210212212210002.

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, 54605385 + ... + 58328144.

It is an arithmetic number, because the mean of its divisors is an integer number (4604074151040).

Almost surely, 2210212212210020 is an apocalyptic number.

210212212210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212212210020 is an abundant number, since it is smaller than the sum of its proper divisors (452774465539740).

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

210212212210020 is a wasteful number, since it uses less digits than its factorization.

210212212210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112933936 (or 112933922 counting only the distinct ones).

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

Adding to 210212212210020 its reverse (20012212212012), we get a palindrome (230224424422032).

The spelling of 210212212210020 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 383 405 486 540 766 810 972 1149 1215 1532 1620 1915 2298 2430 3447 3830 4596 4860 5745 6894 7660 10341 11490 13788 17235 20682 22980 31023 34470 41364 51705 62046 68940 93069 103410 124092 155115 186138 206820 310230 372276 465345 620460 930690 1861380 112933529 225867058 338800587 451734116 564667645 677601174 1016401761 1129335290 1355202348 1694002935 2032803522 2258670580 3049205283 3388005870 4065607044 5082008805 6098410566 6776011740 9147615849 10164017610 12196821132 15246026415 18295231698 20328035220 27442847547 30492052830 36590463396 43253541607 45738079245 54885695094 60984105660 86507083214 91476158490 109771390188 129760624821 137214237735 173014166428 182952316980 216267708035 259521249642 274428475470 389281874463 432535416070 519042499284 548856950940 648803124105 778563748926 865070832140 1167845623389 1297606248210 1557127497852 1946409372315 2335691246778 2595212496420 3503536870167 3892818744630 4671382493556 5839228116945 7007073740334 7785637489260 10510610610501 11678456233890 14014147480668 17517684350835 21021221221002 23356912467780 35035368701670 42042442442004 52553053052505 70070737403340 105106106105010 210212212210020