Search a number
-
+
2011001022212 = 2272134451177319
BaseRepresentation
bin11101010000111001000…
…000000110011100000100
321010020202010012200102012
4131100321000012130010
5230422012230202322
64135501403033352
7265201323436100
oct35207100063404
97106663180365
102011001022212
11705951717686
122858b420b858
13117837759080
146d493948900
153749dbbeae2
hex1d439006704

2011001022212 has 72 divisors (see below), whose sum is σ = 4409748383040. Its totient is φ = 795377620800.

The previous prime is 2011001022187. The next prime is 2011001022241. The reversal of 2011001022212 is 2122201001102.

It is a super-2 number, since 2×20110010222122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11252489 + ... + 11429807.

It is an arithmetic number, because the mean of its divisors is an integer number (61246505320).

Almost surely, 22011001022212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011001022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204874191520).

2011001022212 is an abundant number, since it is smaller than the sum of its proper divisors (2398747360828).

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

2011001022212 is a wasteful number, since it uses less digits than its factorization.

2011001022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181801 (or 181792 counting only the distinct ones).

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

Adding to 2011001022212 its reverse (2122201001102), we get a palindrome (4133202023314).

The spelling of 2011001022212 in words is "two trillion, eleven billion, one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 4451 8902 17804 31157 57863 62314 115726 124628 177319 218099 231452 354638 405041 436198 709276 810082 872396 1241233 1620164 2305147 2482466 2835287 4610294 4964932 5670574 8688631 9220588 11341148 16136029 17377262 32272058 34754524 64544116 112952203 225904406 451808812 789246869 1578493738 3156987476 5524728083 10260209297 11049456166 20520418594 22098912332 38673096581 41040837188 71821465079 77346193162 143642930158 154692386324 287285860316 502750255553 1005500511106 2011001022212