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210200000100012 = 2232131741644397847
BaseRepresentation
bin101111110010110100000000…
…010101100111011010101100
31000120020220221102100002002100
4233302310000111213122230
5210022404100011200022
62023020314050455100
762163306645533526
oct5762640025473254
91016226842302070
10210200000100012
1160a8135717671a
121b6aa202894490
139039a0c76cc40
1439c9a3cc5ca16
151947bb74761ac
hexbf2d005676ac

210200000100012 has 144 divisors (see below), whose sum is σ = 620647920914112. Its totient is φ = 59387705487360.

The previous prime is 210200000099989. The next prime is 210200000100071. The reversal of 210200000100012 is 210001000002012.

210200000100012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210200000099967 and 210200000100003.

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, 321872728 + ... + 322525119.

It is an arithmetic number, because the mean of its divisors is an integer number (4310055006348).

Almost surely, 2210200000100012 is an apocalyptic number.

It is an amenable number.

210200000100012 is an abundant number, since it is smaller than the sum of its proper divisors (410447920814100).

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

210200000100012 is a wasteful number, since it uses less digits than its factorization.

210200000100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644397928 (or 644397923 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210200000100012 its reverse (210001000002012), we get a palindrome (420201000102024).

The spelling of 210200000100012 in words is "two hundred ten trillion, two hundred billion, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 41 51 52 68 78 82 102 117 123 153 156 164 204 221 234 246 306 369 442 468 492 533 612 663 697 738 884 1066 1326 1394 1476 1599 1989 2091 2132 2652 2788 3198 3978 4182 4797 6273 6396 7956 8364 9061 9594 12546 18122 19188 25092 27183 36244 54366 81549 108732 163098 326196 644397847 1288795694 1933193541 2577591388 3866387082 5799580623 7732774164 8377172011 10954763399 11599161246 16754344022 21909526798 23198322492 25131516033 26420311727 32864290197 33508688044 43819053596 50263032066 52840623454 65728580394 75394548099 79260935181 98592870591 100526064132 105681246908 131457160788 142411924187 150789096198 158521870362 197185741182 237782805543 284823848374 301578192396 317043740724 343464052451 394371482364 427235772561 449145299359 475565611086 569647696748 686928104902 854471545122 898290598718 951131222172 1030392157353 1281707317683 1347435898077 1373856209804 1708943090244 1796581197436 2060784314706 2563414635366 2694871796154 3091176472059 4042307694231 4121568629412 5126829270732 5389743592308 5838888891667 6182352944118 8084615388462 11677777783334 12364705888236 16169230776924 17516666675001 23355555566668 35033333350002 52550000025003 70066666700004 105100000050006 210200000100012