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20124140220 = 22325271613673
BaseRepresentation
bin10010101111011111…
…100000001010111100
31220221111010020121200
4102233133200022330
5312203234441340
613124522055500
71311460240512
oct225737401274
956844106550
1020124140220
118597609448
123a9764a590
131b893211a2
14d8c99c4b2
157cbadd330
hex4af7e02bc

20124140220 has 144 divisors (see below), whose sum is σ = 61459612032. Its totient is φ = 5329981440.

The previous prime is 20124140207. The next prime is 20124140251. The reversal of 20124140220 is 2204142102.

20124140220 is a `hidden beast` number, since 2 + 0 + 1 + 241 + 402 + 20 = 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 = 20124140193 and 20124140202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29901804 + ... + 29902476.

Almost surely, 220124140220 is an apocalyptic number.

20124140220 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 20124140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30729806016).

20124140220 is an abundant number, since it is smaller than the sum of its proper divisors (41335471812).

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

20124140220 is a wasteful number, since it uses less digits than its factorization.

20124140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1567 counting only the distinct ones).

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

Adding to 20124140220 its reverse (2204142102), we get a palindrome (22328282322).

The spelling of 20124140220 in words is "twenty billion, one hundred twenty-four million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 613 673 813 1084 1226 1346 1355 1626 1839 2019 2439 2452 2692 2710 3065 3252 3365 3678 4038 4065 4878 5420 5517 6057 6130 6730 7356 8076 8130 9195 9756 10095 11034 12114 12195 12260 13460 16260 18390 20190 22068 24228 24390 27585 30285 36780 40380 48780 55170 60570 110340 121140 166123 182383 332246 364766 412549 498369 547149 664492 729532 825098 830615 911915 996738 1094298 1237647 1495107 1641447 1650196 1661230 1823830 1993476 2062745 2188596 2475294 2491845 2735745 2990214 3282894 3322460 3647660 3712941 4125490 4950588 4983690 5471490 5980428 6188235 6565788 7425882 7475535 8207235 8250980 9967380 10942980 12376470 14851764 14951070 16414470 18564705 24752940 29902140 32828940 37129410 74258820 111800779 223601558 335402337 447203116 559003895 670804674 1006207011 1118007790 1341609348 1677011685 2012414022 2236015580 3354023370 4024828044 5031035055 6708046740 10062070110 20124140220