Search a number
-
+
2000313102224 = 243164122132843
BaseRepresentation
bin11101000110111011111…
…100111010111110010000
321002020011021000002110202
4131012323330322332100
5230233120123232344
64130533043514332
7264342423554363
oct35067374727620
97066137002422
102000313102224
11701367664158
122838109889a8
1311682339ba68
146cb5c2b40da
153707572894e
hex1d1bbf3af90

2000313102224 has 80 divisors (see below), whose sum is σ = 4010088052224. Its totient is φ = 965607014400.

The previous prime is 2000313102211. The next prime is 2000313102289. The reversal of 2000313102224 is 4222013130002.

It is a junction number, because it is equal to n+sod(n) for n = 2000313102196 and 2000313102205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703590947 + ... + 703593789.

Almost surely, 22000313102224 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 2000313102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005044026112).

2000313102224 is an abundant number, since it is smaller than the sum of its proper divisors (2009774950000).

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

2000313102224 is a wasteful number, since it uses less digits than its factorization.

2000313102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2000313102224 its reverse (4222013130002), we get a palindrome (6222326232226).

The spelling of 2000313102224 in words is "two trillion, three hundred thirteen million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 641 1282 2213 2564 2843 4426 5128 5686 8852 10256 11372 17704 19871 22744 35408 39742 45488 68603 79484 88133 137206 158968 176266 274412 317936 352532 548824 705064 1097648 1410128 1418533 1822363 2837066 3644726 5674132 6291559 7289452 11348264 12583118 14578904 22696528 25166236 29157808 43974523 50332472 56493253 87949046 100664944 112986506 175898092 195038329 225973012 351796184 390076658 451946024 703592368 780153316 903892048 1560306632 3120613264 4032889319 8065778638 16131557276 32263114552 64526229104 125019568889 250039137778 500078275556 1000156551112 2000313102224