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13420213240020 = 22352511033862649
BaseRepresentation
bin1100001101001010001100…
…0010110000000011010100
31202111221220201211212211120
43003102203002300003110
53224334044042140040
644313054424403540
72553402252246336
oct303224302600324
952457821755746
1013420213240020
114304531567534
121608b163165b0
1376469cc12bc2
1434578293b456
151841558bd7d0
hexc34a30b00d4

13420213240020 has 96 divisors (see below), whose sum is σ = 37762869513600. Its totient is φ = 3561010944000.

The previous prime is 13420213240009. The next prime is 13420213240033. The reversal of 13420213240020 is 2004231202431.

It is a happy number.

It is a super-3 number, since 3×134202132400203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15125656 + ... + 15988304.

It is an arithmetic number, because the mean of its divisors is an integer number (393363224100).

Almost surely, 213420213240020 is an apocalyptic number.

13420213240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420213240020 is an abundant number, since it is smaller than the sum of its proper divisors (24342656273580).

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

13420213240020 is a wasteful number, since it uses less digits than its factorization.

13420213240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863945 (or 863943 counting only the distinct ones).

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

Adding to 13420213240020 its reverse (2004231202431), we get a palindrome (15424444442451).

The spelling of 13420213240020 in words is "thirteen trillion, four hundred twenty billion, two hundred thirteen million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1033 1255 1506 2066 2510 3012 3099 3765 4132 5020 5165 6198 7530 10330 12396 15060 15495 20660 30990 61980 259283 518566 777849 862649 1037132 1296415 1555698 1725298 2587947 2592830 3111396 3450596 3889245 4313245 5175894 5185660 7778490 8626490 10351788 12939735 15556980 17252980 25879470 51758940 216524899 433049798 649574697 866099596 891116417 1082624495 1299149394 1782232834 2165248990 2598298788 2673349251 3247873485 3564465668 4330497980 4455582085 5346698502 6495746970 8911164170 10693397004 12991493940 13366746255 17822328340 26733492510 53466985020 223670220667 447340441334 671010662001 894680882668 1118351103335 1342021324002 2236702206670 2684042648004 3355053310005 4473404413340 6710106620010 13420213240020