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20102022113040 = 2433571329498817
BaseRepresentation
bin1001001001000010111011…
…11000110010011100010000
32122011201211111001211112000
410210201131320302130100
510113322420130104130
6110430424054034000
74143215563461450
oct444413570623420
978151744054460
1020102022113040
11645024647363a
122307aa6648900
13b2a7c6a1096a
144d6d2ba91d60
1524cd768a0260
hex12485de32710

20102022113040 has 160 divisors (see below), whose sum is σ = 79131769647360. Its totient is φ = 4594747908096.

The previous prime is 20102022112993. The next prime is 20102022113083. The reversal of 20102022113040 is 4031122020102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 664734289 + ... + 664764528.

It is an arithmetic number, because the mean of its divisors is an integer number (494573560296).

Almost surely, 220102022113040 is an apocalyptic number.

20102022113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102022113040 is an abundant number, since it is smaller than the sum of its proper divisors (59029747534320).

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

20102022113040 is a wasteful number, since it uses less digits than its factorization.

20102022113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329498846 (or 1329498834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20102022113040 its reverse (4031122020102), we get a palindrome (24133144133142).

The spelling of 20102022113040 in words is "twenty trillion, one hundred two billion, twenty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 1329498817 2658997634 3988496451 5317995268 6647494085 7976992902 9306491719 10635990536 11965489353 13294988170 15953985804 18612983438 19942482255 21271981072 23930978706 26589976340 27919475157 31907971608 35896468059 37225966876 39884964510 46532458595 47861957412 53179952680 55838950314 59827446765 63815943216 71792936118 74451933752 79769929020 83758425471 93064917190 95723914824 106359905360 111677900628 119654893530 139597375785 143585872236 148903867504 159539858040 167516850942 179482340295 186129834380 191447829648 223355801256 239309787060 251275276413 279194751570 287171744472 319079716080 335033701884 358964680590 372259668760 418792127355 446711602512 478619574120 502550552826 558389503140 574343488944 670067403768 717929361180 744519337520 837584254710 957239148240 1005101105652 1116779006280 1256376382065 1340134807536 1435858722360 1675168509420 2010202211304 2233558012560 2512752764130 2871717444720 3350337018840 4020404422608 5025505528260 6700674037680 10051011056520 20102022113040