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213222211131330 = 2345980172685629
BaseRepresentation
bin110000011110110010101010…
…001001110001011111000010
31000221221211210111120122120000
4300132302222021301133002
5210421413042022200310
62033252533113500430
762624540106460152
oct6036625211613702
91027854714518500
10213222211131330
1161a37039545a25
121bab7a87111716
1391c89caa6c20b
143a9201d94a762
15199b5ebad14c0
hexc1ecaa2717c2

213222211131330 has 80 divisors (see below), whose sum is σ = 573336897158520. Its totient is φ = 56858655034368.

The previous prime is 213222211131317. The next prime is 213222211131331. The reversal of 213222211131330 is 33131112222312.

213222211131330 is a `hidden beast` number, since 2 + 1 + 322 + 2 + 2 + 1 + 1 + 1 + 3 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201018150979569 + 12204060151761 = 14178087^2 + 3493431^2 .

It is a super-2 number, since 2×2132222111313302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213222211131294 and 213222211131303.

It is not an unprimeable number, because it can be changed into a prime (213222211131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78050956 + ... + 80736584.

Almost surely, 2213222211131330 is an apocalyptic number.

213222211131330 is an abundant number, since it is smaller than the sum of its proper divisors (360114686027190).

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

213222211131330 is a wasteful number, since it uses less digits than its factorization.

213222211131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783665 (or 2783656 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213222211131330 its reverse (33131112222312), we get a palindrome (246353323353642).

The spelling of 213222211131330 in words is "two hundred thirteen trillion, two hundred twenty-two billion, two hundred eleven million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 98017 196034 294051 490085 588102 882153 980170 1470255 1764306 2646459 2685629 2940510 4410765 5292918 5371258 7939377 8056887 8821530 13232295 13428145 15878754 16113774 24170661 26464590 26856290 39696885 40284435 48341322 72511983 79393770 80568870 120853305 145023966 217535949 241706610 362559915 435071898 725119830 1087679745 2175359490 263237297693 526474595386 789711893079 1316186488465 1579423786158 2369135679237 2632372976930 3948559465395 4738271358474 7107407037711 7897118930790 11845678396185 14214814075422 21322221113133 23691356792370 35537035188555 42644442226266 71074070377110 106611105565665 213222211131330