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2110221102222 = 2321943457313991
BaseRepresentation
bin11110101101010010111…
…110101010110010001110
321110201211221021222120100
4132231102332222302032
5234033213100232342
64253231105431530
7305313150262302
oct36552276526216
97421757258510
102110221102222
11743a37887302
122a0b8493b5a6
13123cba7c659c
14741c7189d02
1539d596ebe4c
hex1eb52faac8e

2110221102222 has 96 divisors (see below), whose sum is σ = 4935502091520. Its totient is φ = 649461939840.

The previous prime is 2110221102193. The next prime is 2110221102289. The reversal of 2110221102222 is 2222011220112.

It is a happy number.

2110221102222 is a `hidden beast` number, since 211 + 0 + 221 + 10 + 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 = 2110221102195 and 2110221102204.

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, 6563647 + ... + 6877637.

It is an arithmetic number, because the mean of its divisors is an integer number (51411480120).

Almost surely, 22110221102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110221102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467751045760).

2110221102222 is an abundant number, since it is smaller than the sum of its proper divisors (2825280989298).

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

2110221102222 is a wasteful number, since it uses less digits than its factorization.

2110221102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314518 (or 314515 counting only the distinct ones).

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

Adding to 2110221102222 its reverse (2222011220112), we get a palindrome (4332232322334).

The spelling of 2110221102222 in words is "two trillion, one hundred ten billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 457 774 817 914 1371 1634 2451 2742 4113 4902 7353 8226 8683 14706 17366 19651 26049 39302 52098 58953 78147 117906 156294 176859 313991 353718 373369 627982 746738 941973 1120107 1883946 2240214 2825919 3360321 5651838 5965829 6720642 11931658 13501613 17897487 27003226 35794974 40504839 53692461 81009678 107384922 121514517 143493887 243029034 256530647 286987774 430481661 513061294 769591941 860963322 1291444983 1539183882 2308775823 2582889966 2726383853 4617551646 5452767706 6170237141 8179151559 12340474282 16358303118 18510711423 24537454677 37021422846 49074909354 55532134269 111064268538 117234505679 234469011358 351703517037 703407034074 1055110551111 2110221102222