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20013121212 = 22372910776781
BaseRepresentation
bin10010101000110111…
…111111111010111100
31220122202012220011120
4102220313333322330
5311441324334322
613105514350540
71305641503110
oct225067777274
956582186146
1020013121212
11853a9811a7
123a6642b450
131b6c320076
14d7bd3d740
157c1eada5c
hex4a8dffebc

20013121212 has 96 divisors (see below), whose sum is σ = 55725304320. Its totient is φ = 5469192960.

The previous prime is 20013121207. The next prime is 20013121213. The reversal of 20013121212 is 21212131002.

It is a junction number, because it is equal to n+sod(n) for n = 20013121191 and 20013121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222262 + ... + 299042.

It is an arithmetic number, because the mean of its divisors is an integer number (580471920).

Almost surely, 220013121212 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 20013121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862652160).

20013121212 is an abundant number, since it is smaller than the sum of its proper divisors (35712183108).

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

20013121212 is a wasteful number, since it uses less digits than its factorization.

20013121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76931 (or 76929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20013121212 its reverse (21212131002), we get a palindrome (41225252214).

It can be divided in two parts, 2001 and 3121212, that added together give a palindrome (3123213).

The spelling of 20013121212 in words is "twenty billion, thirteen million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 107 116 174 203 214 321 348 406 428 609 642 749 812 1218 1284 1498 2247 2436 2996 3103 4494 6206 8988 9309 12412 18618 21721 37236 43442 65163 76781 86884 130326 153562 230343 260652 307124 460686 537467 921372 1074934 1612401 2149868 2226649 3224802 4453298 6449604 6679947 8215567 8906596 13359894 15586543 16431134 24646701 26719788 31173086 32862268 46759629 49293402 57508969 62346172 93519258 98586804 115017938 172526907 187038516 230035876 238251443 345053814 476502886 690107628 714754329 953005772 1429508658 1667760101 2859017316 3335520202 5003280303 6671040404 10006560606 20013121212