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21221102112 = 2537143322037
BaseRepresentation
bin10011110000111000…
…000101001000100000
32000202221020200102220
4103300320011020200
5321430100231422
613425425511040
71350610251240
oct236070051040
960687220386
1021221102112
118aaa839121
124142aa2480
13200267a072
141054549b20
15843073e5c
hex4f0e05220

21221102112 has 96 divisors (see below), whose sum is σ = 63710623872. Its totient is φ = 6058665984.

The previous prime is 21221102087. The next prime is 21221102131. The reversal of 21221102112 is 21120112212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21221102091 and 21221102100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951958 + ... + 973994.

It is an arithmetic number, because the mean of its divisors is an integer number (663652332).

Almost surely, 221221102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31855311936).

21221102112 is an abundant number, since it is smaller than the sum of its proper divisors (42489521760).

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

21221102112 is a wasteful number, since it uses less digits than its factorization.

21221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490 (or 23482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221102112 its reverse (21120112212), we get a palindrome (42341214324).

The spelling of 21221102112 in words is "twenty-one billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1433 2866 4299 5732 8598 10031 11464 17196 20062 22037 22928 30093 34392 40124 44074 45856 60186 66111 68784 80248 88148 120372 132222 137568 154259 160496 176296 240744 264444 308518 320992 352592 462777 481488 528888 617036 705184 925554 962976 1057776 1234072 1851108 2115552 2468144 3702216 4936288 7404432 14808864 31579021 63158042 94737063 126316084 189474126 221053147 252632168 378948252 442106294 505264336 663159441 757896504 884212588 1010528672 1326318882 1515793008 1768425176 2652637764 3031586016 3536850352 5305275528 7073700704 10610551056 21221102112