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212112102012210 = 2335785600377823
BaseRepresentation
bin110000001110101000110010…
…011111100011010100110010
31000211000201102002102102102000
4300032220302133203110302
5210300221041103342320
62031042542054434430
762451410423605131
oct6016506237432462
91024021362372360
10212112102012210
1161649267920134
121b9588b5962a16
1391481157bc36a
143a543cda37918
15197c7c88bac90
hexc0ea327e3532

212112102012210 has 32 divisors (see below), whose sum is σ = 565632272033280. Its totient is φ = 56563227203184.

The previous prime is 212112102012131. The next prime is 212112102012211. The reversal of 212112102012210 is 12210201211212.

212112102012210 is a `hidden beast` number, since 2 + 1 + 211 + 210 + 20 + 1 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212112102012211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 392800188642 + ... + 392800189181.

It is an arithmetic number, because the mean of its divisors is an integer number (17676008501040).

Almost surely, 2212112102012210 is an apocalyptic number.

212112102012210 is an abundant number, since it is smaller than the sum of its proper divisors (353520170021070).

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

212112102012210 is a wasteful number, since it uses less digits than its factorization.

212112102012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785600377839 (or 785600377833 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112102012210 its reverse (12210201211212), we get a palindrome (224322303223422).

The spelling of 212112102012210 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 785600377823 1571200755646 2356801133469 3928001889115 4713602266938 7070403400407 7856003778230 11784005667345 14140806800814 21211210201221 23568011334690 35352017002035 42422420402442 70704034004070 106056051006105 212112102012210