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2110324230112 = 25753479371099
BaseRepresentation
bin11110101101011001001…
…000000100011111100000
321110202010010100102102211
4132231121020010133200
5234033421000330422
64253245232051504
7305315541662560
oct36553110043740
97422103312384
102110324230112
11743a9001486a
122a0bb3393b94
13124005c939c7
14741d6b52da0
1539d637bd577
hex1eb592047e0

2110324230112 has 96 divisors (see below), whose sum is σ = 4847931648000. Its totient is φ = 885505141248.

The previous prime is 2110324230107. The next prime is 2110324230149.

2110324230112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5501139 + ... + 5872237.

It is an arithmetic number, because the mean of its divisors is an integer number (50499288000).

Almost surely, 22110324230112 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 2110324230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423965824000).

2110324230112 is an abundant number, since it is smaller than the sum of its proper divisors (2737607417888).

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

2110324230112 is a wasteful number, since it uses less digits than its factorization.

2110324230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371648 (or 371640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2110324230112 in words is "two trillion, one hundred ten billion, three hundred twenty-four million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 479 742 848 958 1484 1696 1916 2968 3353 3832 5936 6706 7664 11872 13412 15328 25387 26824 50774 53648 101548 107296 177709 203096 355418 371099 406192 710836 742198 812384 1421672 1484396 2597693 2843344 2968792 5195386 5686688 5937584 10390772 11875168 19668247 20781544 39336494 41563088 78672988 83126176 137677729 157345976 177756421 275355458 314691952 355512842 550710916 629383904 711025684 1101421832 1244294947 1422051368 2202843664 2488589894 2844102736 4405687328 4977179788 5688205472 9421090313 9954359576 18842180626 19908719152 37684361252 39817438304 65947632191 75368722504 131895264382 150737445008 263790528764 301474890016 527581057528 1055162115056 2110324230112