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213311023212 = 223721273179011
BaseRepresentation
bin1100011010101001010…
…0111110100001101100
3202101121000022201121010
43012222110332201230
511443330110220322
6241554351305220
721261021531600
oct3065224764154
9671530281533
10213311023212
1182512569a31
123541151b210
1317165c7b181
14a477c8d500
155836d6120c
hex31aa53e86c

213311023212 has 144 divisors (see below), whose sum is σ = 585451819008. Its totient is φ = 60268682880.

The previous prime is 213311023171. The next prime is 213311023213. The reversal of 213311023212 is 212320113312.

213311023212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213311023213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23667787 + ... + 23676797.

It is an arithmetic number, because the mean of its divisors is an integer number (4065637632).

Almost surely, 2213311023212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213311023212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292725909504).

213311023212 is an abundant number, since it is smaller than the sum of its proper divisors (372140795796).

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

213311023212 is a wasteful number, since it uses less digits than its factorization.

213311023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213311023212 its reverse (212320113312), we get a palindrome (425631136524).

The spelling of 213311023212 in words is "two hundred thirteen billion, three hundred eleven million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 317 381 508 588 634 762 889 951 1268 1524 1778 1902 2219 2667 3556 3804 4438 5334 6223 6657 8876 9011 10668 12446 13314 15533 18022 18669 24892 26628 27033 31066 36044 37338 40259 46599 54066 62132 63077 74676 80518 93198 108132 120777 126154 161036 186396 189231 241554 252308 281813 378462 441539 483108 563626 756924 845439 883078 1127252 1144397 1324617 1690878 1766156 1972691 2288794 2649234 2856487 3381756 3433191 3945382 4577588 5298468 5712974 5918073 6866382 7890764 8010779 8569461 11425948 11836146 13732764 16021558 17138922 19995409 23672292 24032337 32043116 34277844 39990818 48064674 56075453 59986227 79981636 96129348 112150906 119972454 139967863 168226359 224301812 239944908 279935726 336452718 362773849 419903589 559871452 672905436 725547698 839807178 1088321547 1451095396 1679614356 2176643094 2539416943 4353286188 5078833886 7618250829 10157667772 15236501658 17775918601 30473003316 35551837202 53327755803 71103674404 106655511606 213311023212