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20112010020 = 2234573316937
BaseRepresentation
bin10010101110110001…
…001110101100100100
31220220122021222010000
4102232301032230210
5312142133310040
613123410101300
71311252156504
oct225661165444
956818258100
1020112010020
118590783893
123a9357a830
131b86964b5b
14d8b121a04
157ca9e4130
hex4aec4eb24

20112010020 has 120 divisors (see below), whose sum is σ = 63181924344. Its totient is φ = 5355569664.

The previous prime is 20112010019. The next prime is 20112010057. The reversal of 20112010020 is 2001021102.

It can be written as a sum of positive squares in 4 ways, for example, as 5723527716 + 14388482304 = 75654^2 + 119952^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20112009984 and 20112010011.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1178992 + ... + 1195928.

Almost surely, 220112010020 is an apocalyptic number.

20112010020 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 20112010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590962172).

20112010020 is an abundant number, since it is smaller than the sum of its proper divisors (43069914324).

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

20112010020 is a wasteful number, since it uses less digits than its factorization.

20112010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20112010020 its reverse (2001021102), we get a palindrome (22113031122).

The spelling of 20112010020 in words is "twenty billion, one hundred twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 733 810 1466 1620 2199 2932 3665 4398 6597 7330 8796 10995 13194 14660 16937 19791 21990 26388 32985 33874 39582 43980 50811 59373 65970 67748 79164 84685 98955 101622 118746 131940 152433 169370 197910 203244 237492 254055 296865 304866 338740 395820 457299 508110 593730 609732 762165 914598 1016220 1187460 1371897 1524330 1829196 2286495 2743794 3048660 4572990 5487588 6859485 9145980 12414821 13718970 24829642 27437940 37244463 49659284 62074105 74488926 111733389 124148210 148977852 186222315 223466778 248296420 335200167 372444630 446933556 558666945 670400334 744889260 1005600501 1117333890 1340800668 1676000835 2011201002 2234667780 3352001670 4022402004 5028002505 6704003340 10056005010 20112010020