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21112201012221 = 351122287313961
BaseRepresentation
bin1001100110011100100010…
…01111011110001111111101
32202202022021120212220200000
410303032101033132033331
510231400241424342341
6112522451121424513
74306210010444424
oct463162117361775
982668246786600
1021112201012221
1167aa6a8094100
12244b82949b139
13ba1b44a73767
1452db9bd0a2bb
1526929ba618b6
hex1333913de3fd

21112201012221 has 72 divisors (see below), whose sum is σ = 34776520851072. Its totient is φ = 12789637819200.

The previous prime is 21112201012169. The next prime is 21112201012249. The reversal of 21112201012221 is 12221010221112.

21112201012221 is a `hidden beast` number, since 211 + 1 + 220 + 1 + 0 + 12 + 221 = 666.

It is not a de Polignac number, because 21112201012221 - 218 = 21112200750077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112201012194 and 21112201012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112201012321) 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, 67087681 + ... + 67401641.

Almost surely, 221112201012221 is an apocalyptic number.

It is an amenable number.

21112201012221 is a deficient number, since it is larger than the sum of its proper divisors (13664319838851).

21112201012221 is a wasteful number, since it uses less digits than its factorization.

21112201012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316285 (or 316262 counting only the distinct ones).

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

Adding to 21112201012221 its reverse (12221010221112), we get a palindrome (33333211233333).

The spelling of 21112201012221 in words is "twenty-one trillion, one hundred twelve billion, two hundred one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 2287 2673 3267 6861 9801 20583 25157 29403 61749 75471 185247 226413 276727 313961 555741 679239 830181 941883 2037717 2490543 2825649 3453571 6113151 7471629 8476947 10360713 22414887 25430841 31082139 37989281 67244661 76292523 93246417 113967843 279739251 341903529 718028807 839217753 1025710587 2154086421 3077131761 6462259263 7898316877 9231395283 19386777789 23694950631 58160333367 71084851893 86881485647 174481000101 213254555679 260644456941 639763667037 781933370823 1919291001111 2345800112469 7037400337407 21112201012221