Search a number
-
+
12222120213 = 3623241773
BaseRepresentation
bin10110110000111111…
…01100000100010101
31011112210002001000000
423120133230010111
5200012330321323
65340442241513
7611606210352
oct133037540425
934483061000
1012222120213
1152020828a6
1224511b6299
1311ca1952c4
1483d31b629
154b7ee8e43
hex2d87ec115

12222120213 has 84 divisors (see below), whose sum is σ = 19648777932. Its totient is φ = 7593886080.

The previous prime is 12222120149. The next prime is 12222120223. The reversal of 12222120213 is 31202122221.

12222120213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 680270724 + 11541849489 = 26082^2 + 107433^2 .

It is not a de Polignac number, because 12222120213 - 26 = 12222120149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15810895 + ... + 15811667.

It is an arithmetic number, because the mean of its divisors is an integer number (233914023).

Almost surely, 212222120213 is an apocalyptic number.

It is an amenable number.

12222120213 is a deficient number, since it is larger than the sum of its proper divisors (7426657719).

12222120213 is an frugal number, since it uses more digits than its factorization.

12222120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222120213 its reverse (31202122221), we get a palindrome (43424242434).

The spelling of 12222120213 in words is "twelve billion, two hundred twenty-two million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 23 27 41 69 81 123 207 243 369 529 621 729 773 943 1107 1587 1863 2319 2829 3321 4761 5589 6957 8487 9963 14283 16767 17779 20871 21689 25461 29889 31693 42849 53337 62613 65067 76383 95079 128547 160011 187839 195201 229149 285237 385641 408917 480033 563517 585603 687447 728939 855711 1226751 1440099 1756809 2186817 2567133 3680253 4320297 5270427 6560451 7701399 11040759 12960891 15811281 16765597 19681353 23104197 33122277 50296791 59044059 99366831 150890373 177132177 298100493 452671119 531396531 1358013357 4074040071 12222120213