Search a number
-
+
110222110112 = 2517337727827
BaseRepresentation
bin110011010100110111…
…1111110110110100000
3101112111120100100011112
41212221233332312200
53301213330010422
6122345122202452
710651256322542
oct1465157766640
9345446310145
10110222110112
1142821564794
12194411b3428
13a517525bca
1454988bd692
152d0186cee2
hex19a9bfeda0

110222110112 has 96 divisors (see below), whose sum is σ = 231042284928. Its totient is φ = 51581730816.

The previous prime is 110222110081. The next prime is 110222110123. The reversal of 110222110112 is 211011222011.

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, 133279043 + ... + 133279869.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690468).

Almost surely, 2110222110112 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 110222110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115521142464).

110222110112 is an abundant number, since it is smaller than the sum of its proper divisors (120820174816).

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

110222110112 is a wasteful number, since it uses less digits than its factorization.

110222110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110222110112 its reverse (211011222011), we get a palindrome (321233332123).

The spelling of 110222110112 in words is "one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 337 544 674 727 827 1348 1454 1654 2696 2908 3308 5392 5729 5816 6616 10784 11458 11632 12359 13232 14059 22916 23264 24718 26464 28118 45832 49436 56236 91664 98872 112472 183328 197744 224944 244999 278699 395488 449888 489998 557398 601229 979996 1114796 1202458 1959992 2229592 2404916 3919984 4164983 4459184 4737883 4809832 7839968 8329966 8918368 9475766 9619664 10220893 16659932 18951532 19239328 20441786 33319864 37903064 40883572 66639728 75806128 81767144 133279456 151612256 163534288 202614173 327068576 405228346 810456692 1620913384 3241826768 3444440941 6483653536 6888881882 13777763764 27555527528 55111055056 110222110112