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4200011310012 = 2237283931918959
BaseRepresentation
bin111101000111100100001…
…011101010001110111100
3112212111222000020222211220
4331013210023222032330
51022303110343410022
612533243014313340
7612304124043660
oct75074413521674
915774860228756
104200011310012
11137a23a988191
12579ba7358850
132460a057780b
141073d2b268a0
15743ba41585c
hex3d1e42ea3bc

4200011310012 has 96 divisors (see below), whose sum is σ = 11241405235200. Its totient is φ = 1195571558592.

The previous prime is 4200011309959. The next prime is 4200011310013. The reversal of 4200011310012 is 2100131100024.

It is a junction number, because it is equal to n+sod(n) for n = 4200011309973 and 4200011310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200011310013) by changing a digit.

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, 221521789 + ... + 221540747.

It is an arithmetic number, because the mean of its divisors is an integer number (117097971200).

Almost surely, 24200011310012 is an apocalyptic number.

4200011310012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4200011310012 is an abundant number, since it is smaller than the sum of its proper divisors (7041393925188).

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

4200011310012 is a wasteful number, since it uses less digits than its factorization.

4200011310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575 (or 28573 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 4200011310012 its reverse (2100131100024), we get a palindrome (6300142410036).

The spelling of 4200011310012 in words is "four trillion, two hundred billion, eleven million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 283 566 849 1132 1698 1981 3396 3962 5943 7924 9319 11886 18638 18959 23772 27957 37276 37918 55914 56877 65233 75836 111828 113754 130466 132713 195699 227508 260932 265426 391398 398139 530852 782796 796278 1592556 2637277 5274554 5365397 7911831 10549108 10730794 15823662 16096191 18460939 21461588 31647324 32192382 36921878 37557779 55382817 64384764 73843756 75115558 110765634 112673337 150231116 176678921 221531268 225346674 353357842 450693348 530036763 706715684 1060073526 1236752447 2120147052 2473504894 3710257341 4947009788 7420514682 14841029364 50000134643 100000269286 150000403929 200000538572 300000807858 350000942501 600001615716 700001885002 1050002827503 1400003770004 2100005655006 4200011310012