Search a number
-
+
110222012120 = 23511232177079
BaseRepresentation
bin110011010100110111…
…1100110111011011000
3101112111120011100202012
41212221233212323120
53301213313341440
6122345120125052
710651255434053
oct1465157467330
9345446140665
10110222012120
11428214a8100
1219441166788
13a5174c041c
145498895a9a
152d0184de65
hex19a9be6ed8

110222012120 has 96 divisors (see below), whose sum is σ = 272717776800. Its totient is φ = 40062612480.

The previous prime is 110222012111. The next prime is 110222012143. The reversal of 110222012120 is 21210222011.

It is a junction number, because it is equal to n+sod(n) for n = 110222012095 and 110222012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15566741 + ... + 15573819.

It is an arithmetic number, because the mean of its divisors is an integer number (2840810175).

Almost surely, 2110222012120 is an apocalyptic number.

110222012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136358888400).

110222012120 is an abundant number, since it is smaller than the sum of its proper divisors (162495764680).

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

110222012120 is a wasteful number, since it uses less digits than its factorization.

110222012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110222012120 its reverse (21210222011), we get a palindrome (131432234131).

The spelling of 110222012120 in words is "one hundred ten billion, two hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 3217 4840 6434 7079 12868 14158 16085 25736 28316 32170 35387 35395 56632 64340 70774 70790 77869 128680 141548 141580 155738 176935 283096 283160 311476 353870 389257 389345 622952 707740 778514 778690 856559 1415480 1557028 1557380 1713118 1946285 3114056 3114760 3426236 3892570 4282795 6852472 7785140 8565590 15570280 17131180 22773143 34262360 45546286 91092572 113865715 182185144 227731430 250504573 455462860 501009146 910925720 1002018292 1252522865 2004036584 2505045730 2755550303 5010091460 5511100606 10020182920 11022201212 13777751515 22044402424 27555503030 55111006060 110222012120