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312212243013020 = 22579755734125353
BaseRepresentation
bin100011011111101001001001…
…1110101101101110110011100
31111221110012101000200212200122
41012333102103311231312130
5311410241133202404040
63024004154022414112
7122522406301365110
oct10677222365556634
91457405330625618
10312212243013020
11905315179083a9
122b0249a8591338
131052964671276c
1457152204d1740
1526165549781b5
hex11bf493d6dd9c

312212243013020 has 96 divisors (see below), whose sum is σ = 757170245397888. Its totient is φ = 105921613873152.

The previous prime is 312212243012983. The next prime is 312212243013043. The reversal of 312212243013020 is 20310342212213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73618664 + ... + 77744016.

It is an arithmetic number, because the mean of its divisors is an integer number (7887190056228).

Almost surely, 2312212243013020 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 312212243013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378585122698944).

312212243013020 is an abundant number, since it is smaller than the sum of its proper divisors (444958002384868).

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

312212243013020 is a wasteful number, since it uses less digits than its factorization.

312212243013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131039 (or 4131037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312212243013020 its reverse (20310342212213), we get a palindrome (332522585225233).

The spelling of 312212243013020 in words is "three hundred twelve trillion, two hundred twelve billion, two hundred forty-three million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 5573 6790 11146 13580 22292 27865 39011 55730 78022 111460 156044 195055 390110 540581 780220 1081162 2162324 2702905 3784067 4125353 5405810 7568134 8250706 10811620 15136268 16501412 18920335 20626765 28877471 37840670 41253530 57754942 75681340 82507060 115509884 144387355 288774710 400159241 577549420 800318482 1600636964 2000796205 2801114687 4001592410 5602229374 8003184820 11204458748 14005573435 22990592269 28011146870 45981184538 56022293740 91962369076 114952961345 160934145883 229905922690 321868291766 459811845380 643736583532 804670729415 1609341458830 2230087450093 3218682917660 4460174900186 8920349800372 11150437250465 15610612150651 22300874500930 31221224301302 44601749001860 62442448602604 78053060753255 156106121506510 312212243013020