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20100203122020 = 22357221133235591
BaseRepresentation
bin1001001000111111100010…
…11101111000110101100100
32122011120010201022111221020
410210133301131320311210
510113310203444401040
6110425523354451140
74143122525346600
oct444376135706544
978146121274836
1020100203122020
11644a4a271877a
122307679433ab0
13b2a596c01808
144d6bd8274500
1524ccbbd44cd0
hex1247f1778d64

20100203122020 has 144 divisors (see below), whose sum is σ = 65500237289088. Its totient is φ = 4592156405760.

The previous prime is 20100203122003. The next prime is 20100203122049. The reversal of 20100203122020 is 2022130200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4594425 + ... + 7830015.

It is an arithmetic number, because the mean of its divisors is an integer number (454862758952).

Almost surely, 220100203122020 is an apocalyptic number.

20100203122020 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 20100203122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32750118644544).

20100203122020 is an abundant number, since it is smaller than the sum of its proper divisors (45400034167068).

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

20100203122020 is a wasteful number, since it uses less digits than its factorization.

20100203122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237730 (or 3237721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20100203122020 its reverse (2022130200102), we get a palindrome (22122333322122).

The spelling of 20100203122020 in words is "twenty trillion, one hundred billion, two hundred three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2113 2940 4226 6339 8452 10565 12678 14791 21130 25356 29582 31695 42260 44373 59164 63390 73955 88746 103537 126780 147910 177492 207074 221865 295820 310611 414148 443730 517685 621222 887460 1035370 1242444 1553055 2070740 3106110 3235591 6212220 6471182 9706773 12942364 16177955 19413546 22649137 32355910 38827092 45298274 48533865 64711820 67947411 90596548 97067730 113245685 135894822 158543959 194135460 226491370 271789644 317087918 339737055 452982740 475631877 634175836 679474110 792719795 951263754 1358948220 1585439590 1902527508 2378159385 3170879180 4756318770 6836803783 9512637540 13673607566 20510411349 27347215132 34184018915 41020822698 47857626481 68368037830 82041645396 95715252962 102552056745 136736075660 143572879443 191430505924 205104113490 239288132405 287145758886 335003385367 410208226980 478576264810 574291517772 670006770734 717864397215 957152529620 1005010156101 1340013541468 1435728794430 1675016926835 2010020312202 2871457588860 3350033853670 4020040624404 5025050780505 6700067707340 10050101561010 20100203122020