Search a number
-
+
212021121201111 = 323722923331737643
BaseRepresentation
bin110000001101010100000011…
…100111010011001111010111
31000210201000120110222100101200
4300031110003213103033113
5210242223224011413421
62030533054120123543
762442010014511035
oct6015240347231727
91023630513870350
10212021121201111
116161371a5a2162
121b9431446065b3
13913c67671b0b1
143a4dc3c785555
15197a25139d726
hexc0d5039d33d7

212021121201111 has 96 divisors (see below), whose sum is σ = 318268404567360. Its totient is φ = 135905288251392.

The previous prime is 212021121201059. The next prime is 212021121201167. The reversal of 212021121201111 is 111102121120212.

It is a happy number.

212021121201111 is a `hidden beast` number, since 2 + 120 + 211 + 21 + 201 + 111 = 666.

212021121201111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212021121201111 - 230 = 212020047459287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021121201311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5632399456 + ... + 5632437098.

It is an arithmetic number, because the mean of its divisors is an integer number (3315295880910).

Almost surely, 2212021121201111 is an apocalyptic number.

212021121201111 is a deficient number, since it is larger than the sum of its proper divisors (106247283366249).

212021121201111 is a wasteful number, since it uses less digits than its factorization.

212021121201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38465 (or 38462 counting only the distinct ones).

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

Adding to 212021121201111 its reverse (111102121120212), we get a palindrome (323123242321323).

The spelling of 212021121201111 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-one million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 9 37 111 229 233 317 333 687 699 951 2061 2097 2853 8473 8621 11729 25419 25863 35187 37643 53357 72593 73861 76257 77589 105561 112929 160071 217779 221583 338787 480213 653337 664749 1392791 1974209 2685941 2732857 4178373 5922627 8057823 8198571 8620247 8770819 11932831 12535119 16914169 17767881 24173469 24595713 25860741 26312457 35798493 50742507 77582223 78937371 107395479 152227521 318949139 324520303 441514747 625824253 956847417 973560909 1324544241 1877472759 2008517551 2732618299 2780349623 2870542251 2920682727 3973632723 5632418277 6025552653 8197854897 8341048869 18076657959 24593564691 25023146607 74315149387 101106877063 102872936051 222945448161 303320631189 308618808153 636700063667 668836344483 909961893567 925856424459 1910100191001 5730300573003 23557902355679 70673707067037 212021121201111