Search a number
-
+
212110110121110 = 23531313197282333
BaseRepresentation
bin110000001110100110111011…
…110001000101110010010110
31000211000112021021022212111120
4300032212323301011302112
5210300203001142333420
62031042012301344410
762451310156035345
oct6016467361056226
91024015237285446
10212110110121110
1161648435511943
121b95843a868106
139147b88c23b86
143a5428128db5c
15197c70daaad40
hexc0e9bbc45c96

212110110121110 has 64 divisors (see below), whose sum is σ = 525502542827520. Its totient is φ = 54736337658240.

The previous prime is 212110110121099. The next prime is 212110110121111. The reversal of 212110110121110 is 11121011011212.

212110110121110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110110121110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110110121111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25485504 + ... + 32767836.

It is an arithmetic number, because the mean of its divisors is an integer number (8210977231680).

Almost surely, 2212110110121110 is an apocalyptic number.

212110110121110 is an abundant number, since it is smaller than the sum of its proper divisors (313392432706410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212110110121110 is a wasteful number, since it uses less digits than its factorization.

212110110121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313693.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212110110121110 its reverse (11121011011212), we get a palindrome (223231121132322).

The spelling of 212110110121110 in words is "two hundred twelve trillion, one hundred ten billion, one hundred ten million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 31319 62638 93957 156595 187914 313190 469785 939570 970889 1941778 2912667 4854445 5825334 7282333 9708890 14563335 14564666 21846999 29126670 36411665 43693998 72823330 109234995 218469990 225752323 451504646 677256969 1128761615 1354513938 2257523230 3386284845 6772569690 228075387227 456150774454 684226161681 1140376936135 1368452323362 2280753872270 3421130808405 6842261616810 7070337004037 14140674008074 21211011012111 35351685020185 42422022024222 70703370040370 106055055060555 212110110121110