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20020220210100 = 223521119730795601
BaseRepresentation
bin1001000110101010100100…
…00111010010101110110100
32121212220200120100121101010
410203111102013102232310
510111002402333210400
6110325055011232220
74134261501665505
oct443252207225664
977786616317333
1020020220210100
116419589423180
1222b40772a8670
13b22b8b4a08b6
144d2dab8a6bac
1524ab8a0ee450
hex1235521d2bb4

20020220210100 has 144 divisors (see below), whose sum is σ = 63511864105536. Its totient is φ = 4828750080000.

The previous prime is 20020220210041. The next prime is 20020220210101. The reversal of 20020220210100 is 101202202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020220210101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14747701 + ... + 16047900.

It is an arithmetic number, because the mean of its divisors is an integer number (441054611844).

Almost surely, 220020220210100 is an apocalyptic number.

20020220210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020220210100 is an abundant number, since it is smaller than the sum of its proper divisors (43491643895436).

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

20020220210100 is a wasteful number, since it uses less digits than its factorization.

20020220210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30795826 (or 30795819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020220210100 its reverse (101202202002), we get a palindrome (20121422412102).

The spelling of 20020220210100 in words is "twenty trillion, twenty billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 197 220 275 300 330 394 550 591 660 788 825 985 1100 1182 1650 1970 2167 2364 2955 3300 3940 4334 4925 5910 6501 8668 9850 10835 11820 13002 14775 19700 21670 26004 29550 32505 43340 54175 59100 65010 108350 130020 162525 216700 325050 650100 30795601 61591202 92386803 123182404 153978005 184773606 307956010 338751611 369547212 461934015 615912020 677503222 769890025 923868030 1016254833 1355006444 1539780050 1693758055 1847736060 2032509666 2309670075 3079560100 3387516110 4065019332 4619340150 5081274165 6066733397 6775032220 8468790275 9238680300 10162548330 12133466794 16937580550 18200200191 20325096660 24266933588 25406370825 30333666985 33875161100 36400400382 50812741650 60667333970 66734067367 72800800764 91001000955 101625483300 121334667940 133468134734 151668334925 182002001910 200202202101 266936269468 303336669850 333670336835 364004003820 400404404202 455005004775 606673339700 667340673670 800808808404 910010009550 1001011010505 1334681347340 1668351684175 1820020019100 2002022021010 3336703368350 4004044042020 5005055052525 6673406736700 10010110105050 20020220210100