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20112424020 = 223251314715843
BaseRepresentation
bin10010101110110010…
…110011110001010100
31220220200002000000100
4102232302303301110
5312142240032040
613123423014100
71311255532503
oct225662636124
956820060010
1020112424020
118590a36937
123a9373a330
131b86a7b420
14d8b1cc83a
157caa76b30
hex4aecb3c54

20112424020 has 144 divisors (see below), whose sum is σ = 65756500992. Its totient is φ = 4946538240.

The previous prime is 20112423983. The next prime is 20112424051. The reversal of 20112424020 is 2042421102.

20112424020 is a `hidden beast` number, since 20 + 1 + 1 + 242 + 402 + 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 = 20112423984 and 20112424002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439219 + ... + 3445061.

It is an arithmetic number, because the mean of its divisors is an integer number (456642368).

Almost surely, 220112424020 is an apocalyptic number.

20112424020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32878250496).

20112424020 is an abundant number, since it is smaller than the sum of its proper divisors (45644076972).

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

20112424020 is a wasteful number, since it uses less digits than its factorization.

20112424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7337 counting only the distinct ones).

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

Adding to 20112424020 its reverse (2042421102), we get a palindrome (22154845122).

The spelling of 20112424020 in words is "twenty billion, one hundred twelve million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1471 2340 2942 4413 5843 5884 7355 8826 11686 13239 14710 17529 17652 19123 22065 23372 26478 29215 29420 35058 38246 44130 52587 52956 57369 58430 66195 70116 75959 76492 87645 88260 95615 105174 114738 116860 132390 151918 172107 175290 191230 210348 227877 229476 262935 264780 286845 303836 344214 350580 379795 382460 455754 525870 573690 683631 688428 759590 860535 911508 1051740 1139385 1147380 1367262 1519180 1721070 2278770 2734524 3418155 3442140 4557540 6836310 8595053 13672620 17190106 25785159 34380212 42975265 51570318 77355477 85950530 103140636 111735689 128925795 154710954 171901060 223471378 257851590 309421908 335207067 386777385 446942756 515703180 558678445 670414134 773554770 1005621201 1117356890 1340828268 1547109540 1676035335 2011242402 2234713780 3352070670 4022484804 5028106005 6704141340 10056212010 20112424020