Search a number
-
+
210022101212 = 2271110917934949
BaseRepresentation
bin1100001110011001001…
…0101111000011011100
3202002002210122011210012
43003212102233003130
511420111124214322
6240252142302352
721113354255660
oct3034622570334
9662083564705
10210022101212
1181085001180
1234853b879b8
1316a60777291
14a2451588a0
1556e324aae2
hex30e64af0dc

210022101212 has 96 divisors (see below), whose sum is σ = 465030720000. Its totient is φ = 80620842240.

The previous prime is 210022101203. The next prime is 210022101239. The reversal of 210022101212 is 212101220012.

210022101212 is digitally balanced in base 2, because in such base 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 (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5991914 + ... + 6026862.

It is an arithmetic number, because the mean of its divisors is an integer number (4844070000).

Almost surely, 2210022101212 is an apocalyptic number.

210022101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232515360000).

210022101212 is an abundant number, since it is smaller than the sum of its proper divisors (255008618788).

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

210022101212 is a wasteful number, since it uses less digits than its factorization.

210022101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35259 (or 35257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210022101212 its reverse (212101220012), we get a palindrome (422123321224).

The spelling of 210022101212 in words is "two hundred ten billion, twenty-two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 179 218 308 358 436 716 763 1199 1253 1526 1969 2398 2506 3052 3938 4796 5012 7876 8393 13783 16786 19511 27566 33572 34949 39022 55132 69898 78044 136577 139796 214621 244643 273154 384439 429242 489286 546308 768878 858484 978572 1502347 1537756 2691073 3004694 3809441 5382146 6009388 6255871 7618882 10764292 12511742 15237764 25023484 26666087 41903851 43791097 53332174 68814581 83807702 87582194 106664348 137629162 167615404 175164388 275258324 293326957 481702067 586653914 681889939 963404134 1173307828 1363779878 1926808268 2727559756 4773229573 7500789329 9546459146 15001578658 19092918292 30003157316 52505525303 105011050606 210022101212