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2010110322304 = 27719922749663
BaseRepresentation
bin11101010000000011111…
…010010110011010000000
321010011110001012102211201
4131100003322112122000
5230413201220303204
64135233144150544
7265140256553260
oct35200372263200
97104401172751
102010110322304
11705534967657
122856a5a68454
1311772506a7c6
146d40b52d7a0
153744a8cd9a4
hex1d403e96680

2010110322304 has 128 divisors (see below), whose sum is σ = 4619943936000. Its totient is φ = 853353667584.

The previous prime is 2010110322289. The next prime is 2010110322307. The reversal of 2010110322304 is 4032230110102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2010110322307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40450177 + ... + 40499839.

It is an arithmetic number, because the mean of its divisors is an integer number (36093312000).

Almost surely, 22010110322304 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 2010110322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309971968000).

2010110322304 is an abundant number, since it is smaller than the sum of its proper divisors (2609833613696).

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

2010110322304 is a wasteful number, since it uses less digits than its factorization.

2010110322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50110 (or 50098 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2010110322304 its reverse (4032230110102), we get a palindrome (6042340432406).

The spelling of 2010110322304 in words is "two trillion, ten billion, one hundred ten million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 227 398 448 454 796 896 908 1393 1589 1592 1816 2786 3178 3184 3632 5572 6356 6368 7264 11144 12712 12736 14528 22288 25424 25472 29056 44576 45173 49663 50848 89152 90346 99326 101696 178304 180692 198652 203392 316211 347641 361384 397304 632422 695282 722768 794608 1264844 1390564 1445536 1589216 2529688 2781128 2891072 3178432 5059376 5562256 5782144 6356864 9882937 10118752 11124512 11273501 19765874 20237504 22249024 22547002 39531748 40475008 44498048 45094004 69180559 78914507 79063496 90188008 138361118 157829014 158126992 180376016 276722236 315658028 316253984 360752032 553444472 631316056 632507968 721504064 1106888944 1262632112 1265015936 1443008128 2213777888 2243426699 2525264224 4427555776 4486853398 5050528448 8855111552 8973706796 10101056896 15703986893 17947413592 31407973786 35894827184 62815947572 71789654368 125631895144 143579308736 251263790288 287158617472 502527580576 1005055161152 2010110322304