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211121021111013 = 321379101733308527
BaseRepresentation
bin110000000000001101110001…
…011101111100101011100101
31000200111222020221212011100200
4300000031301131330223211
5210133001322401023023
62025003354055301113
762316663500131446
oct6000156135745345
91020458227764320
10211121021111013
11612a6a1655a182
121b81880297a799
1390a581c2b94a0
143a1c451d872cd
151961b201a0743
hexc0037177cae5

211121021111013 has 96 divisors (see below), whose sum is σ = 336319609866240. Its totient is φ = 126832323571200.

The previous prime is 211121021111003. The next prime is 211121021111029. The reversal of 211121021111013 is 310111120121112.

211121021111013 is a `hidden beast` number, since 211 + 121 + 0 + 211 + 110 + 13 = 666.

It is not a de Polignac number, because 211121021111013 - 25 = 211121021110981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121021111003) 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 95 ways as a sum of consecutive naturals, for example, 684132756 + ... + 684441282.

It is an arithmetic number, because the mean of its divisors is an integer number (3503329269440).

Almost surely, 2211121021111013 is an apocalyptic number.

It is an amenable number.

211121021111013 is a deficient number, since it is larger than the sum of its proper divisors (125198588755227).

211121021111013 is a wasteful number, since it uses less digits than its factorization.

211121021111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309459 (or 309456 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 211121021111013 its reverse (310111120121112), we get a palindrome (521232141232125).

The spelling of 211121021111013 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred eleven thousand, thirteen".

Divisors: 1 3 9 13 39 79 101 117 237 303 711 733 909 1027 1313 2199 3081 3939 6597 7979 9243 9529 11817 23937 28587 57907 71811 74033 85761 103727 173721 222099 308527 311181 521163 666297 752791 925581 933543 962429 2258373 2776743 2887287 4010851 5848607 6775119 8661861 12032553 17545821 24373633 31161227 36097659 52637463 73120899 76031891 93483681 219362697 226150291 228095673 280451043 316857229 405095951 678450873 684287019 950571687 1215287853 2035352619 2461736933 2851715061 2939953783 3645863559 7385210799 8819861349 17865872989 22155632397 22841179391 26459584047 32002580129 53597618967 68523538173 96007740387 160792856901 205570614519 232256348857 288023221161 296935332083 696769046571 890805996249 1804453171889 2090307139713 2672417988747 5413359515667 16240078547001 23457891234557 70373673703671 211121021111013