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21111112222002 = 232111721129326779
BaseRepresentation
bin1001100110011010100000…
…10110000100010100110010
32202202012110201010122021100
410303031100112010110302
510231341024212101002
6112522151105105230
74306141020050055
oct463152026042462
982665421118240
1021111112222002
1167aa199535980
12244b584928216
13ba1a003191aa
1452dad7488a9c
1526923619211c
hex133350584532

21111112222002 has 144 divisors (see below), whose sum is σ = 53054000906400. Its totient is φ = 6015643130880.

The previous prime is 21111112221971. The next prime is 21111112222003. The reversal of 21111112222002 is 20022221111112.

21111112222002 is a `hidden beast` number, since 211 + 111 + 122 + 220 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21111112222003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64440249 + ... + 64767027.

It is an arithmetic number, because the mean of its divisors is an integer number (368430561850).

Almost surely, 221111112222002 is an apocalyptic number.

21111112222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111112222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527000453200).

21111112222002 is an abundant number, since it is smaller than the sum of its proper divisors (31942888684398).

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

21111112222002 is a wasteful number, since it uses less digits than its factorization.

21111112222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327961 (or 327941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21111112222002 its reverse (20022221111112), we get a palindrome (41133333333114).

The spelling of 21111112222002 in words is "twenty-one trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1129 1683 1734 2258 2601 3179 3366 3387 5202 6358 6774 9537 10161 12419 19074 19193 20322 24838 28611 37257 38386 57222 57579 74514 111771 115158 172737 211123 223542 326281 326779 345474 422246 633369 652562 653558 978843 980337 1266738 1900107 1957686 1960674 2936529 2941011 3589091 3594569 3800214 5555243 5873058 5882022 7178182 7189138 10767273 10783707 11110486 16665729 21534546 21567414 32301819 32351121 33331458 49997187 61107673 64603638 64702242 94439131 99994374 122215346 183323019 188878262 283317393 366646038 368933491 549969057 566634786 737866982 849952179 1038830441 1099938114 1106800473 1699904358 2077660882 2213600946 3116491323 3320401419 4058268401 6232982646 6271869347 6640802838 8116536802 9349473969 12174805203 12543738694 18698947938 18815608041 24349610406 36524415609 37631216082 56446824123 68990562817 73048831218 106621778899 112893648246 137981125634 206971688451 213243557798 319865336697 413943376902 620915065353 639730673394 959596010091 1172839567889 1241830130706 1919192020182 2345679135778 3518518703667 7037037407334 10555556111001 21111112222002