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22111121142 = 232111947125053
BaseRepresentation
bin10100100101111011…
…001110111011110110
32010001221222100000200
4110211323032323312
5330240421334032
614054022021330
71411635300015
oct244573167366
963057870020
1022111121142
119417173640
124350b77846
132114b8a746
1410da828a7c
1589627d47c
hex525eceef6

22111121142 has 96 divisors (see below), whose sum is σ = 56184261120. Its totient is φ = 6212583360.

The previous prime is 22111121099. The next prime is 22111121159. The reversal of 22111121142 is 24112111122.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 114288 + ... + 239340.

It is an arithmetic number, because the mean of its divisors is an integer number (585252720).

Almost surely, 222111121142 is an apocalyptic number.

22111121142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28092130560).

22111121142 is an abundant number, since it is smaller than the sum of its proper divisors (34073139978).

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

22111121142 is a wasteful number, since it uses less digits than its factorization.

22111121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125138 (or 125135 counting only the distinct ones).

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

Adding to 22111121142 its reverse (24112111122), we get a palindrome (46223232264).

The spelling of 22111121142 in words is "twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 47 57 66 94 99 114 141 171 198 209 282 342 418 423 517 627 846 893 1034 1254 1551 1786 1881 2679 3102 3762 4653 5358 8037 9306 9823 16074 19646 29469 58938 88407 125053 176814 250106 375159 750318 1125477 1375583 2250954 2376007 2751166 4126749 4752014 5877491 7128021 8253498 11754982 12380247 14256042 17632473 21384063 24760494 26136077 35264946 42768126 52272154 52897419 64652401 78408231 105794838 111672329 129304802 156816462 193957203 223344658 235224693 335016987 387914406 470449386 581871609 670033974 1005050961 1163743218 1228395619 2010101922 2456791238 3685186857 7370373714 11055560571 22111121142