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22020010020020 = 22517613701286873
BaseRepresentation
bin1010000000110111011101…
…11000000000110010110100
32212222002111100200200202102
411000123232320000302310
510341233440031120040
6114455504123201232
74431615242625515
oct500335670006264
985862440620672
1022020010020020
11701a6a7661051
122577760976218
13c3962a32072c
14561aba480a0c
15282bce90d515
hex1406eee00cb4

22020010020020 has 96 divisors (see below), whose sum is σ = 49778417789856. Its totient is φ = 8151754752000.

The previous prime is 22020010020013. The next prime is 22020010020193. The reversal of 22020010020020 is 2002001002022.

It can be written as a sum of positive squares in 16 ways, for example, as 15166148851876 + 6853861168144 = 3894374^2 + 2617988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22020010019983 and 22020010020010.

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 31 ways as a sum of consecutive naturals, for example, 76615304 + ... + 76902176.

It is an arithmetic number, because the mean of its divisors is an integer number (518525185311).

Almost surely, 222020010020020 is an apocalyptic number.

22020010020020 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 22020010020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889208894928).

22020010020020 is an abundant number, since it is smaller than the sum of its proper divisors (27758407769836).

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

22020010020020 is a wasteful number, since it uses less digits than its factorization.

22020010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290661 (or 290659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020010020020 its reverse (2002001002022), we get a palindrome (24022011022042).

The spelling of 22020010020020 in words is "twenty-two trillion, twenty billion, ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 3701 4148 5185 7402 10370 14804 18505 20740 37010 62917 74020 125834 225761 251668 286873 314585 451522 573746 629170 903044 1128805 1147492 1258340 1434365 2257610 2868730 3837937 4515220 4876841 5737460 7675874 9753682 15351748 17499253 19189685 19507364 24384205 34998506 38379370 48768410 69997012 76758740 87496265 97536820 174992530 297487301 349985060 594974602 1061716973 1189949204 1487436505 2123433946 2974873010 4246867892 5308584865 5949746020 10617169730 18049188541 21234339460 36098377082 64764735353 72196754164 90245942705 129529470706 180491885410 259058941412 323823676765 360983770820 647647353530 1101000501001 1295294707060 2202001002002 4404002004004 5505002505005 11010005010010 22020010020020