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20033031213 = 341353433829
BaseRepresentation
bin10010101010000011…
…111100110000101101
31220201010200102120000
4102222003330300231
5312011423444323
613111505214513
71306302645546
oct225203746055
956633612500
1020033031213
11855013a948
123a71031439
131b734a1530
14d808434cd
157c3ae2e43
hex4aa0fcc2d

20033031213 has 80 divisors (see below), whose sum is σ = 32951484720. Its totient is φ = 12052924416.

The previous prime is 20033031173. The next prime is 20033031223. The reversal of 20033031213 is 31213033002.

20033031213 is a `hidden beast` number, since 20 + 0 + 330 + 312 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1372924809 + 18660106404 = 37053^2 + 136602^2 .

It is not a de Polignac number, because 20033031213 - 228 = 19764595757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20033031223) 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 79 ways as a sum of consecutive naturals, for example, 24164883 + ... + 24165711.

It is an arithmetic number, because the mean of its divisors is an integer number (411893559).

Almost surely, 220033031213 is an apocalyptic number.

It is an amenable number.

20033031213 is a deficient number, since it is larger than the sum of its proper divisors (12918453507).

20033031213 is a wasteful number, since it uses less digits than its factorization.

20033031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20033031213 its reverse (31213033002), we get a palindrome (51246064215).

The spelling of 20033031213 in words is "twenty billion, thirty-three million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 53 81 117 159 351 433 477 689 829 1053 1299 1431 2067 2487 3897 4293 5629 6201 7461 10777 11691 16887 18603 22383 22949 32331 35073 43937 50661 55809 67149 68847 96993 131811 151983 206541 290979 298337 358957 395433 455949 571181 619623 872937 895011 1076871 1186299 1713543 1858869 2685033 3230613 3558897 4666441 5140629 8055099 9691839 13999323 15421887 19024721 24165297 29075517 41997969 46265661 57074163 125993907 171222489 247321373 377981721 513667467 741964119 1541002401 2225892357 6677677071 20033031213