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20333013030 = 232511217109831
BaseRepresentation
bin10010111011111100…
…010010100000100110
31221111001011002020200
4102323330102200212
5313120222404110
613201343011330
71316604521241
oct227374224046
957431132220
1020333013030
118694501700
123b35599b46
131bc0693c75
14dac610258
157e00eb6c0
hex4bbf12826

20333013030 has 144 divisors (see below), whose sum is σ = 61527447072. Its totient is φ = 4639219200.

The previous prime is 20333013011. The next prime is 20333013031. The reversal of 20333013030 is 3031033302.

20333013030 is a `hidden beast` number, since 203 + 330 + 130 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20333012994 and 20333013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20333013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130215 + ... + 240045.

It is an arithmetic number, because the mean of its divisors is an integer number (427273938).

Almost surely, 220333013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30763723536).

20333013030 is an abundant number, since it is smaller than the sum of its proper divisors (41194434042).

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

20333013030 is a wasteful number, since it uses less digits than its factorization.

20333013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109883 (or 109869 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20333013030 its reverse (3031033302), we get a palindrome (23364046332).

The spelling of 20333013030 in words is "twenty billion, three hundred thirty-three million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 121 153 165 170 187 198 242 255 306 330 363 374 495 510 561 605 726 765 935 990 1089 1122 1210 1530 1683 1815 1870 2057 2178 2805 3366 3630 4114 5445 5610 6171 8415 10285 10890 12342 16830 18513 20570 30855 37026 61710 92565 109831 185130 219662 329493 549155 658986 988479 1098310 1208141 1647465 1867127 1976958 2416282 3294930 3624423 3734254 4942395 5601381 6040705 7248846 9335635 9884790 10873269 11202762 12081410 13289551 16804143 18122115 18671270 20538397 21746538 26579102 28006905 33608286 36244230 39868653 41076794 54366345 56013810 61615191 66447755 79737306 84020715 102691985 108732690 119605959 123230382 132895510 168041430 184845573 199343265 205383970 225922367 239211918 308075955 369691146 398686530 451844734 598029795 616151910 677767101 924227865 1129611835 1196059590 1355534202 1848455730 2033301303 2259223670 3388835505 4066602606 6777671010 10166506515 20333013030