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221321312331102 = 232435916329733269
BaseRepresentation
bin110010010100101001100010…
…001100111110010101011110
31002000122002222210100121112200
4302110221202030332111132
5213002112021424043402
62102413335100312330
764421636304004164
oct6224514214762536
91060562883317480
10221321312331102
1164579928a81355
12209a56778426a6
139665682ba9549
143c92019b23234
151a8c11dde021c
hexc94a6233e55e

221321312331102 has 96 divisors (see below), whose sum is σ = 502059346588800. Its totient is φ = 70402194104256.

The previous prime is 221321312331037. The next prime is 221321312331149. The reversal of 221321312331102 is 201133213123122.

221321312331102 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 1 + 312 + 331 + 10 + 2 = 666.

221321312331102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213213123311022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 7423077 + ... + 22310192.

It is an arithmetic number, because the mean of its divisors is an integer number (5229784860300).

Almost surely, 2221321312331102 is an apocalyptic number.

221321312331102 is an abundant number, since it is smaller than the sum of its proper divisors (280738034257698).

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

221321312331102 is a wasteful number, since it uses less digits than its factorization.

221321312331102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29733542 (or 29733539 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221321312331102 its reverse (201133213123122), we get a palindrome (422454525454224).

The spelling of 221321312331102 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 59 86 118 129 163 177 258 326 354 387 489 531 774 978 1062 1467 2537 2934 5074 7009 7611 9617 14018 15222 19234 21027 22833 28851 42054 45666 57702 63081 86553 126162 173106 413531 827062 1240593 2481186 3721779 7443558 29733269 59466538 89199807 178399614 267599421 535198842 1278530567 1754262871 2557061134 3508525742 3835591701 4846522847 5262788613 7671183402 9693045694 10525577226 11506775103 14539568541 15788365839 23013550206 29079137082 31576731678 43618705623 75433303453 87237411246 150866606906 208400482421 226299910359 285944847973 416800964842 452599820718 571889695946 625201447263 678899731077 857834543919 1250402894526 1357799462154 1715669087838 1875604341789 2573503631757 3751208683578 5147007263514 12295628462839 24591256925678 36886885388517 73773770777034 110660656165551 221321312331102