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212122202101011 = 3419679772105611
BaseRepresentation
bin110000001110110010001100…
…100000010101010100010011
31000211001200110222112002120000
4300032302030200111110103
5210300402232214213021
62031051332214421043
762452215625132146
oct6016621440252423
91024050428462500
10212122202101011
1161652580087364
121b95a854361783
139149065151877
143a54aab1b205d
15197cbba449b26
hexc0ec8c815513

212122202101011 has 80 divisors (see below), whose sum is σ = 338876521484160. Its totient is φ = 131837194494720.

The previous prime is 212122202100989. The next prime is 212122202101039. The reversal of 212122202101011 is 110101202221212.

212122202101011 is a `hidden beast` number, since 2 + 1 + 212 + 220 + 210 + 10 + 11 = 666.

It is not a de Polignac number, because 212122202101011 - 214 = 212122202084627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212122202111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99688596 + ... + 101794206.

It is an arithmetic number, because the mean of its divisors is an integer number (4235956518552).

Almost surely, 2212122202101011 is an apocalyptic number.

212122202101011 is a deficient number, since it is larger than the sum of its proper divisors (126754319383149).

212122202101011 is a wasteful number, since it uses less digits than its factorization.

212122202101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106686 (or 2106677 counting only the distinct ones).

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

Adding to 212122202101011 its reverse (110101202221212), we get a palindrome (322223404322223).

The spelling of 212122202101011 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred two million, one hundred one thousand, eleven".

Divisors: 1 3 9 19 27 57 67 81 171 201 513 603 977 1273 1539 1809 2931 3819 5427 8793 11457 18563 26379 34371 55689 65459 79137 103113 167067 196377 501201 589131 1243721 1503603 1767393 2105611 3731163 5302179 6316833 11193489 18950499 33580467 40006609 56851497 100741401 120019827 141075937 170554491 360059481 423227811 1080178443 1269683433 2057181947 2680442803 3240535329 3809050299 6171545841 8041328409 11427150897 18514637523 24123985227 39086456993 55543912569 72371955681 117259370979 137831190449 166631737707 217115867043 351778112937 413493571347 1055334338811 1240480714041 2618792618531 3166003016433 3721442142123 7856377855593 11164326426369 23569133566779 70707400700337 212122202101011