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20414201313012 = 22313676287310663
BaseRepresentation
bin1001010010001000011010…
…01101111011011011110100
32200021120121210022022202120
410221010031031323123310
510133431241014004022
6111230053221435540
74204606640054553
oct451041515733364
980246553268676
1020414201313012
116560683498061
1223584aa86bbb0
13b51087b57a70
145080a453bd9a
152560483cad5c
hex12910d37b6f4

20414201313012 has 96 divisors (see below), whose sum is σ = 52071302664192. Its totient is φ = 6186537979776.

The previous prime is 20414201312941. The next prime is 20414201313043. The reversal of 20414201313012 is 21031310241402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65556393 + ... + 65867055.

It is an arithmetic number, because the mean of its divisors is an integer number (542409402752).

Almost surely, 220414201313012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414201313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035651332096).

20414201313012 is an abundant number, since it is smaller than the sum of its proper divisors (31657101351180).

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

20414201313012 is a wasteful number, since it uses less digits than its factorization.

20414201313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317037 (or 317035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20414201313012 its reverse (21031310241402), we get a palindrome (41445511554414).

The spelling of 20414201313012 in words is "twenty trillion, four hundred fourteen billion, two hundred one million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 5226 6287 10452 12574 18861 25148 37722 75444 81731 163462 245193 310663 326924 421229 490386 621326 842458 931989 980772 1242652 1263687 1684916 1863978 2527374 3727956 4038619 5054748 5475977 8077238 10951954 12115857 16154476 16427931 20814421 21903908 24231714 32855862 41628842 48463428 62443263 65711724 83257684 124886526 249773052 270587473 541174946 811762419 1082349892 1623524838 1953138281 3247049676 3906276562 5859414843 7812553124 11718829686 23437659372 25390797653 50781595306 76172392959 101563190612 130860264827 152344785918 261720529654 304689571836 392580794481 523441059308 785161588962 1570323177924 1701183442751 3402366885502 5103550328253 6804733771004 10207100656506 20414201313012