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111020100212220 = 2235113112314581163
BaseRepresentation
bin11001001111100011100001…
…101000101101010111111100
3112120002102021200001210011120
4121033203201220231113330
5104022423131123242340
61032041532511350540
732245636402330443
oct3117434150552774
9476072250053146
10111020100212220
11324133a6311021
1210550532b22450
1349c41c5930ba4
141d5b589ab7d5a
15cc7d4a8dc4d0
hex64f8e1a2d5fc

111020100212220 has 96 divisors (see below), whose sum is σ = 313886501091072. Its totient is φ = 29317234265088.

The previous prime is 111020100212207. The next prime is 111020100212221. The reversal of 111020100212220 is 22212001020111.

It is a super-2 number, since 2×1110201002122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111020100212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020100212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323359 + ... + 14904521.

It is an arithmetic number, because the mean of its divisors is an integer number (3269651053032).

Almost surely, 2111020100212220 is an apocalyptic number.

111020100212220 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 111020100212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156943250545536).

111020100212220 is an abundant number, since it is smaller than the sum of its proper divisors (202866400878852).

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

111020100212220 is a wasteful number, since it uses less digits than its factorization.

111020100212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14582411 (or 14582409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111020100212220 its reverse (22212001020111), we get a palindrome (133232101232331).

The spelling of 111020100212220 in words is "one hundred eleven trillion, twenty billion, one hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1123 1130 1356 1695 2246 2260 3369 3390 4492 5615 6738 6780 11230 13476 16845 22460 33690 67380 126899 253798 380697 507596 634495 761394 1268990 1522788 1903485 2537980 3806970 7613940 14581163 29162326 43743489 58324652 72905815 87486978 145811630 174973956 218717445 291623260 437434890 874869780 1647671419 3295342838 4943014257 6590685676 8238357095 9886028514 16374646049 16476714190 19772057028 24715071285 32749292098 32953428380 49123938147 49430142570 65498584196 81873230245 98247876294 98860285140 163746460490 196495752588 245619690735 327492920980 491239381470 982478762940 1850335003537 3700670007074 5551005010611 7401340014148 9251675017685 11102010021222 18503350035370 22204020042444 27755025053055 37006700070740 55510050106110 111020100212220