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20202441012 = 22341310346567
BaseRepresentation
bin10010110100001010…
…001100100100110100
31221010221110100010000
4102310022030210310
5312333311103022
613140400231300
71313430625635
oct226412144464
957127410100
1020202441012
118627829a46
123ab990b530
131b9c608010
14d9914188c
157d39086ac
hex4b428c934

20202441012 has 120 divisors (see below), whose sum is σ = 57429147776. Its totient is φ = 6155652672.

The previous prime is 20202440969. The next prime is 20202441029. The reversal of 20202441012 is 21014420202.

20202441012 is a `hidden beast` number, since 20 + 202 + 441 + 0 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410553 + ... + 457119.

Almost surely, 220202441012 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 20202441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714573888).

20202441012 is an abundant number, since it is smaller than the sum of its proper divisors (37226706764).

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

20202441012 is a wasteful number, since it uses less digits than its factorization.

20202441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46699 (or 46688 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20202441012 its reverse (21014420202), we get a palindrome (41216861214).

The spelling of 20202441012 in words is "twenty billion, two hundred two million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 103 108 117 156 162 206 234 309 324 351 412 468 618 702 927 1053 1236 1339 1404 1854 2106 2678 2781 3708 4017 4212 5356 5562 8034 8343 11124 12051 16068 16686 24102 33372 36153 46567 48204 72306 93134 108459 139701 144612 186268 216918 279402 419103 433836 558804 605371 838206 1210742 1257309 1676412 1816113 2421484 2514618 3632226 3771927 4796401 5029236 5448339 7264452 7543854 9592802 10896678 14389203 15087708 16345017 19185604 21793356 28778406 32690034 43167609 49035051 57556812 62353213 65380068 86335218 98070102 124706426 129502827 172670436 187059639 196140204 249412852 259005654 374119278 388508481 518011308 561178917 748238556 777016962 1122357834 1554033924 1683536751 2244715668 3367073502 5050610253 6734147004 10101220506 20202441012