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110211200021220 = 2235149911243108991
BaseRepresentation
bin11001000011110010001011…
…011011010111001011100100
3112110020002101000122111101020
4121003302023123113023210
5103421200014201134340
61030222154253131140
732133332164212624
oct3103621333271344
9473202330574336
10110211200021220
1132131342237081
121043b803a89ab0
134965b43aabb0c
141d303716bc884
15cb1ca60869d0
hex643c8b6d72e4

110211200021220 has 96 divisors (see below), whose sum is σ = 308827524096000. Its totient is φ = 29367165421440.

The previous prime is 110211200021159. The next prime is 110211200021227. The reversal of 110211200021220 is 22120002112011.

110211200021220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1102112000212202 (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 110211200021220.

It is not an unprimeable number, because it can be changed into a prime (110211200021227) 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, 1011140925 + ... + 1011249915.

It is an arithmetic number, because the mean of its divisors is an integer number (3216953376000).

Almost surely, 2110211200021220 is an apocalyptic number.

110211200021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211200021220 is an abundant number, since it is smaller than the sum of its proper divisors (198616324074780).

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

110211200021220 is a wasteful number, since it uses less digits than its factorization.

110211200021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121745 (or 121743 counting only the distinct ones).

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

Adding to 110211200021220 its reverse (22120002112011), we get a palindrome (132331202133231).

The spelling of 110211200021220 in words is "one hundred ten trillion, two hundred eleven billion, two hundred million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1499 2998 4497 5996 7495 8994 11243 14990 17988 22485 22486 29980 33729 44970 44972 56215 67458 89940 108991 112430 134916 168645 217982 224860 326973 337290 435964 544955 653946 674580 1089910 1307892 1634865 2179820 3269730 6539460 16853257 33706514 50559771 67413028 84266285 101119542 163377509 168532570 202239084 252798855 326755018 337065140 490132527 505597710 653510036 816887545 980265054 1011195420 1225385813 1633775090 1960530108 2450662635 2450771626 3267550180 3676157439 4901325270 4901543252 6126929065 7352314878 9802650540 12253858130 14704629756 18380787195 24507716260 36761574390 73523148780 1836853333687 3673706667374 5510560001061 7347413334748 9184266668435 11021120002122 18368533336870 22042240004244 27552800005305 36737066673740 55105600010610 110211200021220