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212012020210212 = 22323726170522013
BaseRepresentation
bin110000001101001011100101…
…001001110001101000100100
31000210200011002012212002220200
4300031023211021301220210
5210242101104133211322
62030524551050230500
762441235334406625
oct6015134511615044
91023604065762820
10212012020210212
116160a87a2a2a82
121b941424725430
13913b85606b291
143a4d617ba1a4c
151979dbc3c38ac
hexc0d2e5271a24

212012020210212 has 108 divisors (see below), whose sum is σ = 559824480604116. Its totient is φ = 67633430388480.

The previous prime is 212012020210201. The next prime is 212012020210229.

It is a happy number.

212012020210212 is a `hidden beast` number, since 2 + 1 + 201 + 20 + 20 + 210 + 212 = 666.

212012020210212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 22260127908096 + 189751892302116 = 4718064^2 + 13775046^2 .

It is a super-3 number, since 3×2120120202102123 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32254683 + ... + 38267330.

Almost surely, 2212012020210212 is an apocalyptic number.

It is an amenable number.

212012020210212 is an abundant number, since it is smaller than the sum of its proper divisors (347812460393904).

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

212012020210212 is a wasteful number, since it uses less digits than its factorization.

212012020210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70522158 (or 70522116 counting only the distinct ones).

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

The spelling of 212012020210212 in words is "two hundred twelve trillion, twelve billion, twenty million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 61 74 111 122 148 183 222 244 333 366 444 549 666 732 1098 1332 1369 2196 2257 2738 4107 4514 5476 6771 8214 9028 12321 13542 16428 20313 24642 27084 40626 49284 81252 83509 167018 250527 334036 501054 751581 1002108 1503162 3006324 70522013 141044026 211566039 282088052 423132078 634698117 846264156 1269396234 2538792468 2609314481 4301842793 5218628962 7827943443 8603685586 10437257924 12905528379 15655886886 17207371172 23483830329 25811056758 31311773772 38716585137 46967660658 51622113516 77433170274 93935321316 96544635797 154866340548 159168183341 193089271594 289633907391 318336366682 386178543188 477504550023 579267814782 636672733364 868901722173 955009100046 1158535629564 1432513650069 1737803444346 1910018200092 2865027300138 3475606888692 5730054600276 5889222783617 11778445567234 17667668350851 23556891134468 35335336701702 53003005052553 70670673403404 106006010105106 212012020210212