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11022012102222 = 232111731030331231
BaseRepresentation
bin1010000001100100001100…
…0111011011011001001110
31110000200201222022022220200
42200121003013123121032
52421041040044232342
635235235323154330
72215212510025422
oct240310307333116
943020658268820
1011022012102222
11356a455541130
1212a01816759a6
1361c4a9922704
142a167ab86b82
15141a93dc894c
hexa06431db64e

11022012102222 has 96 divisors (see below), whose sum is σ = 26206000644096. Its totient is φ = 3320268667200.

The previous prime is 11022012102217. The next prime is 11022012102251. The reversal of 11022012102222 is 22220121022011.

It is a happy number.

11022012102222 is a `hidden beast` number, since 1 + 10 + 220 + 1 + 210 + 2 + 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 = 11022012102195 and 11022012102204.

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, 352903347 + ... + 352934577.

It is an arithmetic number, because the mean of its divisors is an integer number (272979173376).

Almost surely, 211022012102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022012102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103000322048).

11022012102222 is an abundant number, since it is smaller than the sum of its proper divisors (15183988541874).

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

11022012102222 is a wasteful number, since it uses less digits than its factorization.

11022012102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41726 (or 41723 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022012102222 its reverse (22220121022011), we get a palindrome (33242133124233).

The spelling of 11022012102222 in words is "eleven trillion, twenty-two billion, twelve million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 5709 10303 11418 17127 20606 30909 31231 34254 61818 62462 92727 93693 113333 185454 187386 226666 281079 339999 343541 562158 679998 687082 1019997 1030623 1782419 2039994 2061246 3091869 3564838 5347257 5402963 6183738 10694514 10805926 16041771 16208889 19606609 32083542 32417778 39213218 48626667 58819827 59432593 97253334 117639654 118865186 176459481 178297779 321772993 352918962 356595558 534893337 643545986 965318979 1069786674 1930637958 2895956937 3539502923 5791913874 7079005846 10618508769 21237017538 31855526307 55666727789 63711052614 111333455578 167000183367 334000366734 501000550101 612334005679 1002001100202 1224668011358 1837002017037 3674004034074 5511006051111 11022012102222