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213013003110 = 235194310781223
BaseRepresentation
bin1100011001100010010…
…0000111101101100110
3202100211020112201212120
43012120210013231212
511442222312044420
6241505023530410
721250442436405
oct3063044075546
9670736481776
10213013003110
118237a318026
1235349759a06
13171192c460b
14a44a47363c
15581aae3d40
hex3198907b66

213013003110 has 128 divisors (see below), whose sum is σ = 555806085120. Its totient is φ = 52070449536.

The previous prime is 213013003087. The next prime is 213013003111. The reversal of 213013003110 is 11300310312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213013003110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013003111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2581959 + ... + 2663181.

It is an arithmetic number, because the mean of its divisors is an integer number (4342235040).

Almost surely, 2213013003110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213013003110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277903042560).

213013003110 is an abundant number, since it is smaller than the sum of its proper divisors (342793082010).

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

213013003110 is a wasteful number, since it uses less digits than its factorization.

213013003110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81402.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 213013003110 its reverse (11300310312), we get a palindrome (224313313422).

The spelling of 213013003110 in words is "two hundred thirteen billion, thirteen million, three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 107 114 129 190 214 215 258 285 321 430 535 570 642 645 817 1070 1290 1605 1634 2033 2451 3210 4066 4085 4601 4902 6099 8170 9202 10165 12198 12255 13803 20330 23005 24510 27606 30495 46010 60990 69015 81223 87419 138030 162446 174838 243669 262257 406115 437095 487338 524514 812230 874190 1218345 1311285 1543237 2436690 2622570 3086474 3492589 4629711 6985178 7716185 8690861 9259422 10477767 15432370 17381722 17462945 20955534 23148555 26072583 34925890 43454305 46297110 52145166 52388835 66359191 86908610 104777670 130362915 132718382 165126359 199077573 260725830 330252718 331795955 373707023 398155146 495379077 663591910 747414046 825631795 990758154 995387865 1121121069 1651263590 1868535115 1990775730 2242242138 2476895385 3737070230 4953790770 5605605345 7100433437 11211210690 14200866874 21301300311 35502167185 42602600622 71004334370 106506501555 213013003110