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211121110022022 = 2355872254132831
BaseRepresentation
bin110000000000001101110110…
…110001000111011110000110
31000200111222111011011022100000
4300000031312301013132012
5210133002013131201042
62025003410553102130
762316665626640304
oct6000156661073606
91020458434138300
10211121110022022
11612a6a61767352
121b8188286b7946
1390a5834849855
143a1c45dacd274
151961b27db474c
hexc00376c47786

211121110022022 has 96 divisors (see below), whose sum is σ = 475214571546624. Its totient is φ = 70248559802400.

The previous prime is 211121110022021. The next prime is 211121110022041. The reversal of 211121110022022 is 220220011121112.

211121110022022 is a `hidden beast` number, since 2 + 111 + 211 + 100 + 220 + 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 = 211121110021986 and 211121110022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121110022021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6430525147 + ... + 6430557977.

It is an arithmetic number, because the mean of its divisors is an integer number (4950151786944).

Almost surely, 2211121110022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121110022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237607285773312).

211121110022022 is an abundant number, since it is smaller than the sum of its proper divisors (264093461524602).

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

211121110022022 is a wasteful number, since it uses less digits than its factorization.

211121110022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55976 (or 55964 counting only the distinct ones).

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

Adding to 211121110022022 its reverse (220220011121112), we get a palindrome (431341121143134).

The spelling of 211121110022022 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred ten million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 587 1174 1761 3522 5283 10566 15849 22541 31698 32831 45082 47547 65662 67623 95094 98493 135246 142641 196986 202869 285282 295479 405738 590958 608607 886437 1217214 1772874 1825821 2659311 3651642 5318622 5477463 7977933 10954926 13231567 15955866 19271797 26463134 38543594 39694701 57815391 79389402 115630782 119084103 173446173 238168206 346892346 357252309 520338519 714504618 740043571 1040677038 1071756927 1480087142 1561015557 2143513854 2220130713 3122031114 3215270781 4440261426 4683046671 6430541562 6660392139 9366093342 13320784278 19981176417 39962352834 59943529251 119887058502 179830587753 359661175506 434405576177 868811152354 1303216728531 2606433457062 3909650185593 7819300371186 11728950556779 23457901113558 35186851670337 70373703340674 105560555011011 211121110022022