Search a number
-
+
2110342430112 = 25373943796447
BaseRepresentation
bin11110101101011010001…
…101011111110110100000
321110202011101121002010220
4132231122031133312200
5234033440130230422
64253251122123040
7305316152454030
oct36553215376640
97422141532126
102110342430112
11743a9a315794
122a0bb94b0480
13124009996a37
14741d932d8c0
1539d651b5e5c
hex1eb5a35fda0

2110342430112 has 96 divisors (see below), whose sum is σ = 6332640878592. Its totient is φ = 602801305344.

The previous prime is 2110342430107. The next prime is 2110342430117.

2110342430112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2110342430107) and next prime (2110342430117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2110342430117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251473 + ... + 3047919.

It is an arithmetic number, because the mean of its divisors is an integer number (65965009152).

Almost surely, 22110342430112 is an apocalyptic number.

It is an amenable number.

2110342430112 is an abundant number, since it is smaller than the sum of its proper divisors (4222298448480).

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

2110342430112 is a wasteful number, since it uses less digits than its factorization.

2110342430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800410 (or 800402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 2110342430112 in words is "two trillion, one hundred ten billion, three hundred forty-two million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3943 7886 11829 15772 23658 27601 31544 47316 55202 63088 82803 94632 110404 126176 165606 189264 220808 331212 378528 441616 662424 796447 883232 1324848 1592894 2389341 2649696 3185788 4778682 5575129 6371576 9557364 11150258 12743152 16725387 19114728 22300516 25486304 33450774 38229456 44601032 66901548 76458912 89202064 133803096 178404128 267606192 535212384 3140390521 6280781042 9421171563 12561562084 18842343126 21982733647 25123124168 37684686252 43965467294 50246248336 65948200941 75369372504 87930934588 100492496672 131896401882 150738745008 175861869176 263792803764 301477490016 351723738352 527585607528 703447476704 1055171215056 2110342430112