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111100211220 = 22358944814643
BaseRepresentation
bin110011101111000010…
…1101011000000010100
3101121202202122111102210
41213132011223000110
53310013123224340
6123012211033420
711012111133225
oct1473605530024
9347682574383
10111100211220
114313219a089
121964729b870
13a627422a6b
14553d37924c
152d539c1180
hex19de16b014

111100211220 has 96 divisors (see below), whose sum is σ = 314713848960. Its totient is φ = 29280993280.

The previous prime is 111100211219. The next prime is 111100211263. The reversal of 111100211220 is 22112001111.

It is a super-2 number, since 2×1111002112202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111100211196 and 111100211205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23926219 + ... + 23930861.

It is an arithmetic number, because the mean of its divisors is an integer number (3278269260).

Almost surely, 2111100211220 is an apocalyptic number.

111100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157356924480).

111100211220 is an abundant number, since it is smaller than the sum of its proper divisors (203613637740).

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

111100211220 is a wasteful number, since it uses less digits than its factorization.

111100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111100211220 its reverse (22112001111), we get a palindrome (133212212331).

The spelling of 111100211220 in words is "one hundred eleven billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 4481 4643 5340 8962 9286 13443 13929 17924 18572 22405 23215 26886 27858 44810 46430 53772 55716 67215 69645 89620 92860 134430 139290 268860 278580 398809 413227 797618 826454 1196427 1239681 1595236 1652908 1994045 2066135 2392854 2479362 3988090 4132270 4785708 4958724 5982135 6198405 7976180 8264540 11964270 12396810 20805283 23928540 24793620 41610566 62415849 83221132 104026415 124831698 208052830 249663396 312079245 416105660 624158490 1248316980 1851670187 3703340374 5555010561 7406680748 9258350935 11110021122 18516701870 22220042244 27775052805 37033403740 55550105610 111100211220