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11210220220212 = 223213171409027177
BaseRepresentation
bin1010001100100001010100…
…1100011010111100110100
31110200200112112002100021100
42203020111030122330310
52432132012334021322
635501523140250100
72234624464443606
oct243102514327464
943620475070240
1011210220220212
1136322560788a2
1213107480a0930
13634171c473c0
142aa812b43176
1514690bedbdac
hexa321531af34

11210220220212 has 72 divisors (see below), whose sum is σ = 32311811245896. Its totient is φ = 3246398613504.

The previous prime is 11210220220187. The next prime is 11210220220253. The reversal of 11210220220212 is 21202202201211.

It is a happy number.

11210220220212 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 220 + 220 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7583623056 + 11202636597156 = 87084^2 + 3347034^2 .

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 23 ways as a sum of consecutive naturals, for example, 704505633 + ... + 704521544.

It is an arithmetic number, because the mean of its divisors is an integer number (448775156193).

Almost surely, 211210220220212 is an apocalyptic number.

11210220220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11210220220212 is an abundant number, since it is smaller than the sum of its proper divisors (21101591025684).

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

11210220220212 is a wasteful number, since it uses less digits than its factorization.

11210220220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409027217 (or 1409027212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11210220220212 its reverse (21202202201211), we get a palindrome (32412422421423).

The spelling of 11210220220212 in words is "eleven trillion, two hundred ten billion, two hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 1409027177 2818054354 4227081531 5636108708 8454163062 12681244593 16908326124 18317353301 23953462009 25362489186 36634706602 47906924018 50724978372 54952059903 71860386027 73269413204 95813848036 109904119806 143720772054 164856179709 215581158081 219808239612 287441544108 311395006117 329712359418 431162316162 622790012234 659424718836 862324632324 934185018351 1245580024468 1868370036702 2802555055053 3736740073404 5605110110106 11210220220212