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20421330214020 = 22354311237048303
BaseRepresentation
bin1001010010010101101100…
…01000100001110010000100
32200022021000121121000111020
410221022312020201302010
510134040341013322040
6111233232442511140
74205251412526531
oct451126610416204
980267017530436
1020421330214020
11656370158298a
12235995a2054b0
13b51952a83198
1450857d24dd88
152563141a7cd0
hex1292b6221c84

20421330214020 has 96 divisors (see below), whose sum is σ = 58561595000832. Its totient is φ = 5314306935168.

The previous prime is 20421330213989. The next prime is 20421330214093. The reversal of 20421330214020 is 2041203312402.

It is a happy number.

It is a super-2 number, since 2×204213302140202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626812 + ... + 6421491.

It is an arithmetic number, because the mean of its divisors is an integer number (610016614592).

Almost surely, 220421330214020 is an apocalyptic number.

20421330214020 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 20421330214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280797500416).

20421330214020 is an abundant number, since it is smaller than the sum of its proper divisors (38140264786812).

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

20421330214020 is a wasteful number, since it uses less digits than its factorization.

20421330214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049481 (or 7049479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20421330214020 its reverse (2041203312402), we get a palindrome (22462533526422).

The spelling of 20421330214020 in words is "twenty trillion, four hundred twenty-one billion, three hundred thirty million, two hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1123 1290 2246 2580 3369 4492 5615 6738 11230 13476 16845 22460 33690 48289 67380 96578 144867 193156 241445 289734 482890 579468 724335 965780 1448670 2897340 7048303 14096606 21144909 28193212 35241515 42289818 70483030 84579636 105724545 140966060 211449090 303077029 422898180 606154058 909231087 1212308116 1515385145 1818462174 3030770290 3636924348 4546155435 6061540580 7915244269 9092310870 15830488538 18184621740 23745732807 31660977076 39576221345 47491465614 79152442690 94982931228 118728664035 158304885380 237457328070 340355503567 474914656140 680711007134 1021066510701 1361422014268 1701777517835 2042133021402 3403555035670 4084266042804 5105332553505 6807110071340 10210665107010 20421330214020