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212012020222002 = 2327211131680954127
BaseRepresentation
bin110000001101001011100101…
…001001110100100000110010
31000210200011002012212201002100
4300031023211021310200302
5210242101104134101002
62030524551050401230
762441235334456200
oct6015134511644062
91023604065781070
10212012020222002
116160a87a300920
121b941424730216
13913b856073760
143a4d617ba6070
151979dbc3c711c
hexc0d2e5274832

212012020222002 has 144 divisors (see below), whose sum is σ = 627775852459392. Its totient is φ = 50832052770240.

The previous prime is 212012020221997. The next prime is 212012020222021. The reversal of 212012020222002 is 200222020210212.

212012020222002 is a `hidden beast` number, since 2 + 120 + 120 + 202 + 220 + 0 + 2 = 666.

It is a super-2 number, since 2×2120120202220022 (a number of 29 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 840350938 + ... + 840603189.

It is an arithmetic number, because the mean of its divisors is an integer number (4359554530968).

Almost surely, 2212012020222002 is an apocalyptic number.

212012020222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212012020222002 is an abundant number, since it is smaller than the sum of its proper divisors (415763832237390).

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

212012020222002 is a wasteful number, since it uses less digits than its factorization.

212012020222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680954173 (or 1680954163 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212012020222002 its reverse (200222020210212), we get a palindrome (412234040432214).

The spelling of 212012020222002 in words is "two hundred twelve trillion, twelve billion, twenty million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 819 858 882 1001 1078 1274 1287 1386 1617 1638 1911 2002 2574 3003 3234 3822 4851 5733 6006 7007 9009 9702 11466 14014 18018 21021 42042 63063 126126 1680954127 3361908254 5042862381 10085724762 11766678889 15128587143 18490495397 21852403651 23533357778 30257174286 35300036667 36980990794 43704807302 55471486191 65557210953 70600073334 82366752223 105900110001 110942972382 129433467779 131114421906 152966825557 164733504446 166414458573 196671632859 211800220002 240376440161 247100256669 258866935558 305933651114 332828917146 388300403337 393343265718 458900476671 480752880322 494200513338 721129320483 741300770007 776600806674 906034274453 917800953342 1070767778899 1164901210011 1376701430013 1442258640966 1482601540014 1682635081127 1812068548906 2141535557798 2163387961449 2329802420022 2718102823359 2753402860026 3212303336697 3365270162254 4326775922898 5047905243381 5436205646718 6424606673394 8154308470077 9636910010091 10095810486762 11778445567889 15143715730143 16308616940154 19273820020182 23556891135778 30287431460286 35335336703667 70670673407334 106006010111001 212012020222002