Search a number
-
+
20420213334120 = 2333553356747263
BaseRepresentation
bin1001010010010011100111…
…00011111110000001101000
32200022011010202222122022000
410221021303203332001220
510134031044103142440
6111232525544131000
74205211631311105
oct451116343760150
980264122878260
1020420213334120
116563189089546
1223596a8166a60
13b518055722c2
145084b4b99aac
1525629b0da730
hex1292738fe068

20420213334120 has 128 divisors (see below), whose sum is σ = 69351668121600. Its totient is φ = 5342646995712.

The previous prime is 20420213334091. The next prime is 20420213334121. The reversal of 20420213334120 is 2143331202402.

20420213334120 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 213 + 33 + 412 + 0 = 666.

It is a super-2 number, since 2×204202133341202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20420213334121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178316392 + ... + 178430871.

It is an arithmetic number, because the mean of its divisors is an integer number (541809907200).

Almost surely, 220420213334120 is an apocalyptic number.

20420213334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420213334120 is an abundant number, since it is smaller than the sum of its proper divisors (48931454787480).

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

20420213334120 is a wasteful number, since it uses less digits than its factorization.

20420213334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356747336 (or 356747326 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20420213334120 its reverse (2143331202402), we get a palindrome (22563544536522).

The spelling of 20420213334120 in words is "twenty trillion, four hundred twenty billion, two hundred thirteen million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 28620 57240 356747263 713494526 1070241789 1426989052 1783736315 2140483578 2853978104 3210725367 3567472630 4280967156 5351208945 6421450734 7134945260 8561934312 9632176101 10702417890 12842901468 14269890520 16053626835 18907604939 19264352202 21404835780 25685802936 32107253670 37815209878 38528704404 42809671560 48160880505 56722814817 64214507340 75630419756 77057408808 94538024695 96321761010 113445629634 128429014680 151260839512 170168444451 189076049390 192643522020 226891259268 283614074085 340336888902 378152098780 385287044040 453782518536 510505333353 567228148170 680673777804 756304197560 850842222255 1021010666706 1134456296340 1361347555608 1701684444510 2042021333412 2268912592680 2552526666765 3403368889020 4084042666824 5105053333530 6806737778040 10210106667060 20420213334120