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22111121102022 = 23367128913993389
BaseRepresentation
bin1010000011100001001011…
…00001001101010011000110
32220021210200001021012212000
411001300211201031103012
510344232034000231042
6115005413034010130
74441322123222301
oct501604541152306
986253601235760
1022111121102022
117055301476527
122591349876946
13c450ba3a3884
14566280b63b38
152852635ae74c
hex141c2584d4c6

22111121102022 has 128 divisors (see below), whose sum is σ = 49958294400000. Its totient is φ = 7247410765056.

The previous prime is 22111121102011. The next prime is 22111121102101. The reversal of 22111121102022 is 22020112111122.

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 = 22111121101986 and 22111121102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6524377504 + ... + 6524380892.

It is an arithmetic number, because the mean of its divisors is an integer number (390299175000).

Almost surely, 222111121102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111121102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979147200000).

22111121102022 is an abundant number, since it is smaller than the sum of its proper divisors (27847173297978).

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

22111121102022 is a wasteful number, since it uses less digits than its factorization.

22111121102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6149 counting only the distinct ones).

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

Adding to 22111121102022 its reverse (22020112111122), we get a palindrome (44131233213144).

The spelling of 22111121102022 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1289 1399 1809 2578 2798 3389 3618 3867 4197 6778 7734 8394 10167 11601 12591 20334 23202 25182 30501 34803 37773 61002 69606 75546 86363 91503 93733 172726 183006 187466 227063 259089 281199 454126 518178 562398 681189 777267 843597 1362378 1554534 1687194 1803311 2043567 2331801 2530791 3606622 4087134 4368421 4663602 4741211 5061582 5409933 6130701 8736842 9482422 10819866 12261402 13105263 14223633 16229799 26210526 28447266 32459598 39315789 42670899 48689397 78631578 85341798 97378794 117947367 120821837 128012697 235894734 241643674 256025394 292684207 317661137 362465511 585368414 635322274 724931022 878052621 952983411 1087396533 1756105242 1905966822 2174793066 2634157863 2858950233 3262189599 5268315726 5717900466 6111420979 6524379198 7902473589 8576850699 12222841958 15804947178 17153701398 18334262937 36668525874 55002788811 110005577622 165008366433 330016732866 409465205593 818930411186 1228395616779 2456791233558 3685186850337 7370373700674 11055560551011 22111121102022