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211011202121121 = 32374182718688391
BaseRepresentation
bin101111111110100111011111…
…101111101111110110100001
31000200010110210111001110011200
4233332213133233233312201
5210124201420220333441
62024441112533231413
762306025204124323
oct5776473757576641
91020113714043150
10211011202121121
11612643916016a6
121b7bb474792569
13909836a45816c
143a16dd4c41613
15195dd43e107b6
hexbfe9dfbefda1

211011202121121 has 48 divisors (see below), whose sum is σ = 321054314974848. Its totient is φ = 133372311609600.

The previous prime is 211011202121051. The next prime is 211011202121149. The reversal of 211011202121121 is 121121202110112.

It is a happy number.

211011202121121 is a `hidden beast` number, since 211 + 0 + 1 + 120 + 212 + 1 + 121 = 666.

It is not a de Polignac number, because 211011202121121 - 214 = 211011202104737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211011202121094 and 211011202121103.

It is not an unprimeable number, because it can be changed into a prime (211011202121171) 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, 1946836 + ... + 20635226.

It is an arithmetic number, because the mean of its divisors is an integer number (6688631561976).

Almost surely, 2211011202121121 is an apocalyptic number.

It is an amenable number.

211011202121121 is a deficient number, since it is larger than the sum of its proper divisors (110043112853727).

211011202121121 is a wasteful number, since it uses less digits than its factorization.

211011202121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18689302 (or 18689299 counting only the distinct ones).

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

Adding to 211011202121121 its reverse (121121202110112), we get a palindrome (332132404231233).

The spelling of 211011202121121 in words is "two hundred eleven trillion, eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 37 41 111 123 333 369 827 1517 2481 4551 7443 13653 30599 33907 91797 101721 275391 305163 1254559 3763677 11291031 18688391 56065173 168195519 691470467 766224031 2074411401 2298672093 6223234203 6896016279 15455299357 28350289147 46365898071 85050867441 139097694213 255152602323 571846076209 633667273637 1715538228627 1901001820911 5146614685881 5703005462733 23445689124569 70337067373707 211011202121121