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22002112112022 = 2337653161955057
BaseRepresentation
bin1010000000010110001000…
…00100111010010110010110
32212220101022000121202122000
411000023010010322112112
510340440311200041042
6114443344125020130
74430412564130650
oct500130404722626
985811260552560
1022002112112022
117013052769949
1225741a69b4646
13c37a372b6c23
14560c9d42b6d0
152824d34be74c
hex1402c413a596

22002112112022 has 128 divisors (see below), whose sum is σ = 55999535846400. Its totient is φ = 6272700092928.

The previous prime is 22002112112017. The next prime is 22002112112033. The reversal of 22002112112022 is 22021121120022.

It is a happy number.

22002112112022 is a `hidden beast` number, since 2 + 200 + 211 + 211 + 20 + 22 = 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 = 22002112111986 and 22002112112004.

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 63 ways as a sum of consecutive naturals, for example, 399596718 + ... + 399651774.

It is an arithmetic number, because the mean of its divisors is an integer number (437496373800).

Almost surely, 222002112112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002112112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999767923200).

22002112112022 is an abundant number, since it is smaller than the sum of its proper divisors (33997423734378).

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

22002112112022 is a wasteful number, since it uses less digits than its factorization.

22002112112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57347 (or 57341 counting only the distinct ones).

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

Adding to 22002112112022 its reverse (22021121120022), we get a palindrome (44023233232044).

The spelling of 22002112112022 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 653 1306 1619 1959 3238 3918 4571 4857 5877 9142 9714 11333 11754 13713 14571 17631 22666 27426 29142 33999 35262 41139 43713 55057 67998 82278 87426 101997 110114 123417 165171 203994 246834 305991 330342 385399 495513 611982 770798 991026 1057207 1156197 1486539 2114414 2312394 2973078 3171621 3468591 6343242 6937182 7400449 9514863 10405773 14800898 19029726 20811546 22201347 28544589 35952221 44402694 57089178 66604041 71904442 89137283 107856663 133208082 178274566 199812123 215713326 251665547 267411849 323569989 399624246 503331094 534823698 623960981 647139978 754996641 802235547 970709967 1247921962 1509993282 1604471094 1871882943 1941419934 2264989923 2406706641 3743765886 4529979846 4813413282 5615648829 6794969769 11231297658 13589939538 16846946487 33693892974 58206645799 116413291598 174619937397 349239874794 407446520593 523859812191 814893041186 1047719624382 1222339561779 1571579436573 2444679123558 3143158873146 3667018685337 7334037370674 11001056056011 22002112112022