Search a number
-
+
212211212010112 = 2772291034248343
BaseRepresentation
bin110000010000000101000101…
…111010001100001010000000
31000211101012020020100222022001
4300100011011322030022000
5210303332030233310422
62031200252425553344
762461516442645260
oct6020050572141200
91024335206328261
10212211212010112
11616872a6932507
121b973b55645854
13915457bac6033
143a591127c17a0
151980179901227
hexc10145e8c280

212211212010112 has 64 divisors (see below), whose sum is σ = 485269323004800. Its totient is φ = 90550510838784.

The previous prime is 212211212010101. The next prime is 212211212010167. The reversal of 212211212010112 is 211010212112212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 212211212010112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516918988 + ... + 517329355.

It is an arithmetic number, because the mean of its divisors is an integer number (7582333171950).

Almost surely, 2212211212010112 is an apocalyptic number.

It is an amenable number.

212211212010112 is an abundant number, since it is smaller than the sum of its proper divisors (273058110994688).

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

212211212010112 is a wasteful number, since it uses less digits than its factorization.

212211212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034248593 (or 1034248581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212211212010112 its reverse (211010212112212), we get a palindrome (423221424122324).

The spelling of 212211212010112 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 448 458 896 916 1603 1832 3206 3664 6412 7328 12824 14656 25648 29312 51296 102592 205184 1034248343 2068496686 4136993372 7239738401 8273986744 14479476802 16547973488 28958953604 33095946976 57917907208 66191893952 115835814416 132383787904 231671628832 236842870547 463343257664 473685741094 926686515328 947371482188 1657900093829 1894742964376 3315800187658 3789485928752 6631600375316 7578971857504 13263200750632 15157943715008 26526401501264 30315887430016 53052803002528 106105606005056 212211212010112