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21210212110113 = 321317371911508951
BaseRepresentation
bin1001101001010011000110…
…01010001000111100100001
32210002200021011001120010200
410310221203022020330201
510240002003300010423
6113035500435415413
74316246554152465
oct464514312107441
983080234046120
1021210212110113
116838222872654
122466821154569
13bab1644c3340
14534818b604a5
1526bad637bd43
hex134a63288f21

21210212110113 has 96 divisors (see below), whose sum is σ = 36066511982592. Its totient is φ = 11890043136000.

The previous prime is 21210212110111. The next prime is 21210212110117. The reversal of 21210212110113 is 31101121201212.

It is a happy number.

21210212110113 is a `hidden beast` number, since 21 + 210 + 212 + 110 + 113 = 666.

It is not a de Polignac number, because 21210212110113 - 21 = 21210212110111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21210212110111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13301788 + ... + 14810738.

It is an arithmetic number, because the mean of its divisors is an integer number (375692833152).

Almost surely, 221210212110113 is an apocalyptic number.

It is an amenable number.

21210212110113 is a deficient number, since it is larger than the sum of its proper divisors (14856299872479).

21210212110113 is a wasteful number, since it uses less digits than its factorization.

21210212110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509215 (or 1509212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21210212110113 its reverse (31101121201212), we get a palindrome (52311333311325).

The spelling of 21210212110113 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 191 221 333 481 573 629 663 1443 1719 1887 1989 2483 3247 4329 5661 7067 7449 8177 9741 21201 22347 24531 29223 42211 63603 73593 91871 120139 126633 275613 360417 379899 826839 1081251 1508951 1561807 4526853 4685421 13580559 14056263 19616363 25652167 55831187 58849089 76956501 167493561 176547267 230869503 288209641 333478171 502480683 725805431 864628923 949130179 1000434513 2177416293 2593886769 2847390537 3001303539 3746725333 4899563897 6532248879 8542171611 10663756717 11240175999 12338692327 14698691691 31991270151 33720527997 37016076981 44096075073 63694330661 95973810453 111048230943 138628837321 181283864189 191082991983 415886511963 543851592567 573248975949 1247659535889 1631554777701 2356690234457 7070070703371 21210212110113