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212011221121110 = 23354716706952019
BaseRepresentation
bin110000001101001010110101…
…100001011111100001010110
31000210200002000112020011202000
4300031022311201133201112
5210242042440101333420
62030524335503100130
762441206462306035
oct6015126541374126
91023602015204660
10212011221121110
116160a4aa224564
121b941240ba1646
13913b759646ba8
143a4d57d9d271c
151979d7217b690
hexc0d2b585f856

212011221121110 has 64 divisors (see below), whose sum is σ = 577392261811200. Its totient is φ = 55333425083616.

The previous prime is 212011221121069. The next prime is 212011221121121. The reversal of 212011221121110 is 11121122110212.

It is a happy number.

212011221121110 is a `hidden beast` number, since 2 + 120 + 112 + 211 + 211 + 10 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8353463320 + ... + 8353488699.

It is an arithmetic number, because the mean of its divisors is an integer number (9021754090800).

Almost surely, 2212011221121110 is an apocalyptic number.

212011221121110 is an abundant number, since it is smaller than the sum of its proper divisors (365381040690090).

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

212011221121110 is a wasteful number, since it uses less digits than its factorization.

212011221121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16706952082 (or 16706952076 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212011221121110 its reverse (11121122110212), we get a palindrome (223132343231322).

The spelling of 212011221121110 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 12690 16706952019 33413904038 50120856057 83534760095 100241712114 150362568171 167069520190 250604280285 300725136342 451087704513 501208560570 751812840855 785226744893 902175409026 1503625681710 1570453489786 2255438522565 2355680234679 3926133724465 4510877045130 4711360469358 7067040704037 7852267448930 11778401173395 14134081408074 21201122112111 23556802346790 35335203520185 42402244224222 70670407040370 106005610560555 212011221121110