Search a number
-
+
2110313230144 = 26719353702329
BaseRepresentation
bin11110101101011000011…
…110000110111101000000
321110202002100122120022121
4132231120132012331000
5234033410141331034
64253244200214024
7305315346326650
oct36553036067500
97422070576277
102110313230144
11743a84891389
122a0bab76a314
13124003911c52
14741d54cc360
1539d628491b4
hex1eb58786f40

2110313230144 has 112 divisors (see below), whose sum is σ = 5052056342400. Its totient is φ = 854390439936.

The previous prime is 2110313230139. The next prime is 2110313230153. The reversal of 2110313230144 is 4410323130112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21103132301442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 2653572 + ... + 3355900.

Almost surely, 22110313230144 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 2110313230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526028171200).

2110313230144 is an abundant number, since it is smaller than the sum of its proper divisors (2941743112256).

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

2110313230144 is a wasteful number, since it uses less digits than its factorization.

2110313230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702720 (or 702710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2110313230144 its reverse (4410323130112), we get a palindrome (6520636360256).

The spelling of 2110313230144 in words is "two trillion, one hundred ten billion, three hundred thirteen million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 353 448 532 608 706 1064 1216 1412 2128 2471 2824 4256 4942 5648 6707 8512 9884 11296 13414 19768 22592 26828 39536 46949 53656 79072 93898 107312 158144 187796 214624 375592 429248 702329 751184 1404658 1502368 2809316 3004736 4916303 5618632 9832606 11237264 13344251 19665212 22474528 26688502 39330424 44949056 53377004 78660848 93409757 106754008 157321696 186819514 213508016 247922137 314643392 373639028 427016032 495844274 747278056 854032064 991688548 1494556112 1735454959 1983377096 2989112224 3470909918 3966754192 4710520603 5978224448 6941819836 7933508384 9421041206 13883639672 15867016768 18842082412 27767279344 32973644221 37684164824 55534558688 65947288442 75368329648 111069117376 131894576884 150736659296 263789153768 301473318592 527578307536 1055156615072 2110313230144