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220310213013 = 3611295916057
BaseRepresentation
bin1100110100101110000…
…0110001000110010101
3210001122210112102000000
43031023200301012111
512102143403304023
6245113100241513
721626330625012
oct3151340610625
9701583472000
10220310213013
118548440a910
1236845540299
1317a1005c3b7
14a93d678709
155ae656a243
hex334b831195

220310213013 has 112 divisors (see below), whose sum is σ = 379110110400. Its totient is φ = 126724227840.

The previous prime is 220310213009. The next prime is 220310213029. The reversal of 220310213013 is 310312013022.

220310213013 is a `hidden beast` number, since 220 + 310 + 2 + 130 + 1 + 3 = 666.

It is not a de Polignac number, because 220310213013 - 22 = 220310213009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220310213033) 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 111 ways as a sum of consecutive naturals, for example, 13712481 + ... + 13728537.

It is an arithmetic number, because the mean of its divisors is an integer number (3384911700).

Almost surely, 2220310213013 is an apocalyptic number.

It is an amenable number.

220310213013 is a deficient number, since it is larger than the sum of its proper divisors (158799897387).

220310213013 is a wasteful number, since it uses less digits than its factorization.

220310213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220310213013 its reverse (310312013022), we get a palindrome (530622226035).

Subtracting 220310213013 from its reverse (310312013022), we obtain a square (90001800009 = 3000032).

The spelling of 220310213013 in words is "two hundred twenty billion, three hundred ten million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 27 29 33 59 81 87 99 177 243 261 297 319 531 649 729 783 891 957 1593 1711 1947 2349 2673 2871 4779 5133 5841 7047 8019 8613 14337 15399 16057 17523 18821 21141 25839 43011 46197 48171 52569 56463 77517 138591 144513 157707 169389 176627 232551 415773 433539 465653 473121 508167 529881 947363 1247319 1300617 1396959 1524501 1589643 2842089 3901851 4190877 4573503 4768929 5122183 8526267 10420993 11705553 12572631 13720509 14306787 15366549 25578801 27473527 31262979 37717893 42920361 46099647 76736403 82420581 93788937 113153679 128761083 138298941 230209209 247261743 281366811 302208797 339461037 414896823 690627627 741785229 844100433 906626391 1244690469 2225355687 2532301299 2719879173 3734071407 6676067061 7596903897 8159637519 20028201183 24478912557 73436737671 220310213013