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21201112110222 = 232113721961131777
BaseRepresentation
bin1001101001000010001001…
…10000011001010010001110
32210001210202221210200001200
410310201010300121102032
510234324334200011342
6113031353443050330
74315505215346532
oct464410460312216
983053687720050
1021201112110222
11683438308aa90
122464b016709a6
13baa3440cc615
145341d4357bc2
1526b7524ea94c
hex134844c1948e

21201112110222 has 96 divisors (see below), whose sum is σ = 51468824425824. Its totient is φ = 6250610073600.

The previous prime is 21201112110203. The next prime is 21201112110239. The reversal of 21201112110222 is 22201121110212.

21201112110222 is a `hidden beast` number, since 2 + 120 + 111 + 211 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21201112110195 and 21201112110204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160820398 + ... + 160952174.

It is an arithmetic number, because the mean of its divisors is an integer number (536133587769).

Almost surely, 221201112110222 is an apocalyptic number.

21201112110222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21201112110222 is an abundant number, since it is smaller than the sum of its proper divisors (30267712315602).

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

21201112110222 is a wasteful number, since it uses less digits than its factorization.

21201112110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153794 (or 153791 counting only the distinct ones).

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

Adding to 21201112110222 its reverse (22201121110212), we get a palindrome (43402233220434).

The spelling of 21201112110222 in words is "twenty-one trillion, two hundred one billion, one hundred twelve million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 21961 43922 65883 131766 131777 197649 241571 263554 395298 395331 483142 724713 790662 812557 1185993 1449426 1449547 1625114 2174139 2371986 2437671 2899094 4348278 4348641 4875342 4875749 7313013 8697282 8938127 9751498 13045923 14626026 14627247 17876254 26091846 26814381 29254494 43881741 53628762 53633239 80443143 87763482 107266478 160886286 160899717 321799434 482699151 965398302 2893954697 5787909394 8681864091 17363728182 26045592273 31833501667 52091184546 63667003334 95500505001 107076323789 191001010002 214152647578 286501515003 321228971367 573003030006 642457942734 963686914101 1177839561679 1927373828202 2355679123358 3533518685037 7067037370074 10600556055111 21201112110222