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21220112212222 = 27112924138950683
BaseRepresentation
bin1001101001100101100010…
…10000000010000011111110
32210010121211002211212010011
410310302301100002003332
510240132242211242342
6113044215053133434
74320050106506110
oct464626120020376
983117732755104
1021220112212222
116841443155920
12246872478a27a
13bac0815a4621
145350b791b3b0
1526beb55a5717
hex134cb14020fe

21220112212222 has 128 divisors (see below), whose sum is σ = 41329923148800. Its totient is φ = 7928773171200.

The previous prime is 21220112212219. The next prime is 21220112212223. The reversal of 21220112212222 is 22221221102212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21220112212193 and 21220112212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220112212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418657693 + ... + 418708375.

It is an arithmetic number, because the mean of its divisors is an integer number (322890024600).

Almost surely, 221220112212222 is an apocalyptic number.

21220112212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21220112212222 is a deficient number, since it is larger than the sum of its proper divisors (20109810936578).

21220112212222 is a wasteful number, since it uses less digits than its factorization.

21220112212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51362.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21220112212222 its reverse (22221221102212), we get a palindrome (43441333314434).

The spelling of 21220112212222 in words is "twenty-one trillion, two hundred twenty billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 22 29 58 77 154 203 241 319 389 406 482 638 778 1687 2233 2651 2723 3374 4279 4466 5302 5446 6989 8558 11281 13978 18557 22562 29953 37114 48923 50683 59906 76879 78967 93749 97846 101366 124091 153758 157934 187498 248182 354781 538153 557513 656243 709562 868637 1031239 1076306 1115026 1312486 1469807 1737274 2062478 2718721 2939614 3902591 5437442 7218673 7805182 10288649 12214603 14437346 16167877 19031047 19715687 20577298 24429206 29905931 32335754 38062094 39431374 59811862 85502221 113175139 134360633 138009809 171004442 209341517 216872557 226350278 268721266 276019618 354223487 418683034 433745114 571754923 708446974 940524431 1143509846 1518107899 1881048862 2479564409 3036215798 3896458357 4002284461 4751480567 4959128818 6289304153 7792916714 8004568922 9502961134 12578608306 27275208499 33260363969 44025129071 52266286237 54550416998 66520727938 88050258142 104532572474 137792936443 275585872886 365864003659 731728007318 964550555101 1515722300873 1929101110202 3031444601746 10610056106111 21220112212222