Search a number
-
+
12021033030 = 2351722322621
BaseRepresentation
bin10110011001000001…
…00110100001000110
31011000202200202020120
423030200212201012
5144104341024110
65304500242410
7603615044346
oct131440464106
934022622216
1012021033030
115109618046
1223b59a0406
13119761a1c6
14820734d26
154a5527870
hex2cc826846

12021033030 has 144 divisors (see below), whose sum is σ = 32050048464. Its totient is φ = 2884766720.

The previous prime is 12021033023. The next prime is 12021033071. The reversal of 12021033030 is 3033012021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4585120 + ... + 4587740.

It is an arithmetic number, because the mean of its divisors is an integer number (222569781).

Almost surely, 212021033030 is an apocalyptic number.

12021033030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025024232).

12021033030 is an abundant number, since it is smaller than the sum of its proper divisors (20029015434).

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

12021033030 is a wasteful number, since it uses less digits than its factorization.

12021033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12021033030 its reverse (3033012021), we get a palindrome (15054045051).

The spelling of 12021033030 in words is "twelve billion, twenty-one million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 289 345 391 510 529 578 690 782 867 1058 1173 1445 1587 1734 1955 2346 2621 2645 2890 3174 3910 4335 5242 5290 5865 6647 7863 7935 8670 8993 11730 13105 13294 15726 15870 17986 19941 26210 26979 33235 39315 39882 44557 44965 53958 60283 66470 78630 89114 89930 99705 120566 133671 134895 152881 180849 199410 222785 267342 269790 301415 305762 361698 445570 458643 602830 668355 757469 764405 904245 917286 1024811 1336710 1386509 1514938 1528810 1808490 2049622 2272407 2293215 2773018 3074433 3787345 4159527 4544814 4586430 5124055 6148866 6932545 7574690 8319054 10248110 11362035 13865090 15372165 17421787 20797635 22724070 23570653 30744330 34843574 41595270 47141306 52265361 70711959 87108935 104530722 117853265 141423918 174217870 235706530 261326805 353559795 400701101 522653610 707119590 801402202 1202103303 2003505505 2404206606 4007011010 6010516515 12021033030