Search a number
-
+
212221200111020 = 225239198722344107
BaseRepresentation
bin110000010000001110011001…
…001111110001010110101100
31000211102011000022202001221022
4300100032121033301112230
5210304013004212023040
62031205023505353312
762462322114261062
oct6020163117612654
91024364008661838
10212221200111020
116169056195a561
121b975a82638838
1391554b11a8409
143a597bd128032
15198056170d6b5
hexc103993f15ac

212221200111020 has 48 divisors (see below), whose sum is σ = 447754473976320. Its totient is φ = 84490751158464.

The previous prime is 212221200110977. The next prime is 212221200111029. The reversal of 212221200111020 is 20111002122212.

It is a super-3 number, since 3×2122212001110203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212221200111020.

It is not an unprimeable number, because it can be changed into a prime (212221200111029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674194 + ... + 20669913.

It is an arithmetic number, because the mean of its divisors is an integer number (9328218207840).

Almost surely, 2212221200111020 is an apocalyptic number.

212221200111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221200111020 is an abundant number, since it is smaller than the sum of its proper divisors (235533273865300).

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

212221200111020 is a wasteful number, since it uses less digits than its factorization.

212221200111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346342 (or 22346340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212221200111020 its reverse (20111002122212), we get a palindrome (232332202233232).

The spelling of 212221200111020 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 239 478 956 1195 1987 2390 3974 4780 7948 9935 19870 39740 474893 949786 1899572 2374465 4748930 9497860 22344107 44688214 89376428 111720535 223441070 446882140 5340241573 10680483146 21360966292 26701207865 44397740609 53402415730 88795481218 106804831460 177590962436 221988703045 443977406090 887954812180 10611060005551 21222120011102 42444240022204 53055300027755 106110600055510 212221200111020