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212011221102093 = 32783246716435051
BaseRepresentation
bin110000001101001010110101…
…100001011010111000001101
31000210200002000112012012122200
4300031022311201122320031
5210242042440100231333
62030524335502432113
762441206462166430
oct6015126541327015
91023602015165580
10212011221102093
116160a4aa211246
121b941240b92639
13913b75963b33a
143a4d57d9c9817
151979d72175c13
hexc0d2b585ae0d

212011221102093 has 48 divisors (see below), whose sum is σ = 354347084023296. Its totient is φ = 119641115901600.

The previous prime is 212011221102077. The next prime is 212011221102223. The reversal of 212011221102093 is 390201122110212.

212011221102093 is a `hidden beast` number, since 21 + 201 + 1 + 221 + 10 + 209 + 3 = 666.

It is not a de Polignac number, because 212011221102093 - 24 = 212011221102077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011221102493) 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, 4682418 + ... + 21117468.

It is an arithmetic number, because the mean of its divisors is an integer number (7382230917152).

Almost surely, 2212011221102093 is an apocalyptic number.

It is an amenable number.

212011221102093 is a deficient number, since it is larger than the sum of its proper divisors (142335862921203).

212011221102093 is a wasteful number, since it uses less digits than its factorization.

212011221102093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16437614 (or 16437611 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

It can be divided in two parts, 21201122110209 and 3, that added together give a palindrome (21201122110212).

The spelling of 212011221102093 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, ninety-three".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 2467 5229 7401 17269 22203 51807 155421 204761 614283 1433327 1842849 4299981 12899943 16435051 49305153 115045357 147915459 345136071 1035408213 1364109233 4092327699 9548764631 12276983097 28646293893 40545270817 85938881679 121635812451 283816895719 364907437353 851450687157 2554352061471 3365257477811 10095772433433 23556802344677 30287317300299 70670407034031 212011221102093