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211121101210201 = 741323893304291
BaseRepresentation
bin110000000000001101110110…
…001111100000001001011001
31000200111222110112120121210021
4300000031312033200021121
5210133002003402211301
62025003410040150441
762316665462020000
oct6000156617401131
91020458415517707
10211121101210201
11612a6a57798956
121b818825768421
1390a5832a82a60
143a1c45c877c37
151961b272238a1
hexc003763e0259

211121101210201 has 80 divisors (see below), whose sum is σ = 279880934014080. Its totient is φ = 157982915946240.

The previous prime is 211121101210199. The next prime is 211121101210249. The reversal of 211121101210201 is 102012101121112.

It is not a de Polignac number, because 211121101210201 - 21 = 211121101210199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121101219201) 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, 62240866 + ... + 65545156.

It is an arithmetic number, because the mean of its divisors is an integer number (3498511675176).

Almost surely, 2211121101210201 is an apocalyptic number.

It is an amenable number.

211121101210201 is a deficient number, since it is larger than the sum of its proper divisors (68759832803879).

211121101210201 is an equidigital number, since it uses as much as digits as its factorization.

211121101210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304444 (or 3304423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211121101210201 its reverse (102012101121112), we get a palindrome (313133202331313).

The spelling of 211121101210201 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, two hundred ten thousand, two hundred one".

Divisors: 1 7 13 23 49 89 91 161 299 343 623 637 1127 1157 2047 2093 2401 4361 4459 7889 8099 14329 14651 26611 30527 31213 55223 56693 100303 102557 186277 213689 396851 702121 717899 1303939 2777957 3304291 4914847 9127573 23130037 42955783 63893011 75998693 161910259 294081899 300690481 531990851 987983009 1133371813 2058573293 2104833367 3723935957 3823064687 6763883677 6915881063 7933602691 14410013051 14733833569 26067551699 26761452809 47347185739 48411167441 87930487801 100870091357 103136834983 182472861893 187330169663 331430300173 338878172087 615513414607 706090639499 1311311187641 2320012101211 2372147204609 4308593902249 9179178313487 16240084708477 30160157315743 211121101210201