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212013110331 = 321137891813593
BaseRepresentation
bin1100010101110011110…
…1110101010000111011
3202021020120001220211200
43011130331311100323
511433200324012311
6241221504425243
721213611463201
oct3053475652073
9667216056750
10212013110331
1181a06967860
123510a918223
1316cba0c4199
14a393753071
1557ace34556
hex315cf7543b

212013110331 has 96 divisors (see below), whose sum is σ = 348979700160. Its totient is φ = 122898124800.

The previous prime is 212013110329. The next prime is 212013110333. The reversal of 212013110331 is 133011310212.

212013110331 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 311 + 0 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (212013110329) and next prime (212013110333).

It is not a de Polignac number, because 212013110331 - 21 = 212013110329 is a prime.

It is a super-2 number, since 2×2120131103312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212013110333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59005471 + ... + 59009063.

It is an arithmetic number, because the mean of its divisors is an integer number (3635205210).

Almost surely, 2212013110331 is an apocalyptic number.

212013110331 is a deficient number, since it is larger than the sum of its proper divisors (136966589829).

212013110331 is a wasteful number, since it uses less digits than its factorization.

212013110331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212013110331 its reverse (133011310212), we get a palindrome (345024420543).

The spelling of 212013110331 in words is "two hundred twelve billion, thirteen million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 89 99 111 181 267 333 407 543 801 979 1221 1629 1991 2937 3293 3593 3663 5973 6697 8811 9879 10779 16109 17919 20091 29637 32337 36223 39523 48327 60273 73667 108669 118569 132941 144981 177199 221001 319777 326007 355707 398823 531597 596033 650333 663003 959331 1196469 1462351 1594791 1788099 1950999 2877993 3517547 4387053 5364297 5852997 6556363 7153663 10552641 11831749 13161159 19669089 21460989 24062321 31657923 35495247 57879637 59007267 64382967 72186963 106485741 130149239 173638911 216560889 264685531 390447717 520916733 636676007 794056593 1171343151 1910028021 2141546569 2382169779 5730084063 6424639707 19273919121 23557012259 70671036777 212013110331