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110212202002221 = 321117211310358117
BaseRepresentation
bin11001000011110011000111…
…001001100111011100101101
3112110020011221212001101220200
4121003303013021213130231
5103421204042203032341
61030222441525104113
732133366052004214
oct3103630711473455
9473204855041820
10110212202002221
1132131806893250
121043ba43558039
134965c73560897
141d304287c407b
15cb1d14009db6
hex643cc726772d

110212202002221 has 48 divisors (see below), whose sum is σ = 184754946212928. Its totient is φ = 62568196185600.

The previous prime is 110212202002121. The next prime is 110212202002229. The reversal of 110212202002221 is 122200202212011.

It is a happy number.

110212202002221 is a `hidden beast` number, since 1 + 1 + 0 + 21 + 220 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 110212202002221 - 218 = 110212201740077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110212202002194 and 110212202002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212202002229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154823946 + ... + 155534171.

It is an arithmetic number, because the mean of its divisors is an integer number (3849061379436).

Almost surely, 2110212202002221 is an apocalyptic number.

110212202002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110212202002221 is a deficient number, since it is larger than the sum of its proper divisors (74542744210707).

110212202002221 is a wasteful number, since it uses less digits than its factorization.

110212202002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310358362 (or 310358359 counting only the distinct ones).

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

Adding to 110212202002221 its reverse (122200202212011), we get a palindrome (232412404214232).

The spelling of 110212202002221 in words is "one hundred ten trillion, two hundred twelve billion, two hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 211 561 633 1683 1899 2321 3587 6963 10761 20889 32283 39457 118371 355113 310358117 931074351 2793223053 3413939287 5276087989 10241817861 15828263967 30725453583 47484791901 58036967879 65485562687 174110903637 196456688061 522332710911 589370064183 720341189557 1113254565679 2161023568671 3339763697037 6483070706013 10019291091111 12245800222469 36737400667407 110212202002221