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11222110121022 = 23317292437172973
BaseRepresentation
bin1010001101001101100111…
…1000110010110000111110
31110201211020011000212221000
42203103121320302300332
52432330340142333042
635511211034151130
72235525231103503
oct243233170626076
943654204025830
1011222110121022
1136372a76702a9
121312b05b824a6
13635318340678
142ab21dca14aa
15146da5c6074c
hexa34d9e32c3e

11222110121022 has 128 divisors (see below), whose sum is σ = 27326847657600. Its totient is φ = 3397845362688.

The previous prime is 11222110120979. The next prime is 11222110121087. The reversal of 11222110121022 is 22012101122211.

11222110121022 is a `hidden beast` number, since 112 + 221 + 101 + 210 + 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 = 11222110120986 and 11222110121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64791328 + ... + 64964300.

It is an arithmetic number, because the mean of its divisors is an integer number (213490997325).

Almost surely, 211222110121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222110121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663423828800).

11222110121022 is an abundant number, since it is smaller than the sum of its proper divisors (16104737536578).

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

11222110121022 is a wasteful number, since it uses less digits than its factorization.

11222110121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175467 (or 175461 counting only the distinct ones).

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

Adding to 11222110121022 its reverse (22012101122211), we get a palindrome (33234211243233).

The spelling of 11222110121022 in words is "eleven trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 783 918 986 1479 1566 2437 2958 4437 4874 7311 8874 13311 14622 21933 26622 41429 43866 65799 70673 82858 124287 131598 141346 172973 212019 248574 345946 372861 424038 518919 636057 745722 1037838 1118583 1201441 1272114 1556757 1908171 2237166 2402882 2940541 3113514 3604323 3816342 4670271 5016217 5881082 7208646 8821623 9340542 10032434 10812969 15048651 17643246 21625938 26464869 30097302 32438907 45145953 52929738 64877814 79394607 85275689 90291906 135437859 158789214 170551378 255827067 270875718 421535201 511654134 767481201 843070402 1264605603 1534962402 2302443603 2529211206 3793816809 4604887206 7166098417 7587633618 11381450427 12224520829 14332196834 21498295251 22762900854 24449041658 36673562487 42996590502 64494885753 73347124974 110020687461 128989771506 193484657259 207816854093 220041374922 330062062383 386969314518 415633708186 623450562279 660124124766 1246901124558 1870351686837 3740703373674 5611055060511 11222110121022