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213102321102 = 232112843337853
BaseRepresentation
bin1100011001110111100…
…0110101110111001110
3202101001110121120010100
43012131320311313032
511442413143233402
6241521534151530
721252605561616
oct3063570656716
9671043546110
10213102321102
1182415782a50
12353736525a6
1317131967cb8
14a458283a46
15582388871c
hex319de35dce

213102321102 has 48 divisors (see below), whose sum is σ = 503727417648. Its totient is φ = 64572483840.

The previous prime is 213102321097. The next prime is 213102321109. The reversal of 213102321102 is 201123201312.

213102321102 is a `hidden beast` number, since 21 + 310 + 2 + 321 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102321109) 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 23 ways as a sum of consecutive naturals, for example, 5610808 + ... + 5648660.

It is an arithmetic number, because the mean of its divisors is an integer number (10494321201).

Almost surely, 2213102321102 is an apocalyptic number.

213102321102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213102321102 is an abundant number, since it is smaller than the sum of its proper divisors (290625096546).

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

213102321102 is a wasteful number, since it uses less digits than its factorization.

213102321102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66305 (or 66302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213102321102 its reverse (201123201312), we get a palindrome (414225522414).

The spelling of 213102321102 in words is "two hundred thirteen billion, one hundred two million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 28433 37853 56866 75706 85299 113559 170598 227118 255897 312763 340677 416383 511794 625526 681354 832766 938289 1249149 1876578 2498298 2814867 3747447 5629734 7494894 1076274349 2152548698 3228823047 6457646094 9686469141 11839017839 19372938282 23678035678 35517053517 71034107034 106551160551 213102321102